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以前的军训在外操场（学校正门外的露天操场，体育馆后方）进行，会配备饮水机。\n但是现在学校升级改造，所以说军训地点未知。但一般在校园内 军训期间需要穿全套校服，可以自带零食补充体力。宿舍配有空调和风扇，晚上可以好好休息。",{"id":22,"title":21,"titles":294,"content":295,"level":233},[],"招生信息、学校概况",{"id":297,"title":21,"titles":298,"content":299,"level":239},"\u002Fguide\u002Fprospective#报考指南",[21],"如果你正在考虑是否要报考深大附中，或者想要了解有关招生信息和学校概况，这部分内容会对你有帮助。",{"id":301,"title":302,"titles":303,"content":304,"level":250},"\u002Fguide\u002Fprospective#包含内容","包含内容",[21,21],"往年录取分数线 — 近年深大附中 AC\u002FD 类录取分数线汇总，帮你评估自己的定位关于中考 — 中考流程、备考经验和志愿填报思路，学长学姐的亲身分享",{"id":306,"title":307,"titles":308,"content":309,"level":250},"\u002Fguide\u002Fprospective#更多信息","更多信息",[21,21],"学校网站也提供了很多有用的信息，请访问 深大附中官网。",{"id":28,"title":27,"titles":311,"content":312,"level":233},[],"历年 AC\u002FD 类录取分数线 这里汇总了近 5 年的录取分数线。数据来源于网络。\n如有错误，请联系我们更正。 政策变动提示2026年起 中考总分 610分→630分2025年起 实行住宿\u002F走读分类招生（注意：录取为住宿生可以转走读，反之则不行）2021年起 中考总分 460分→610分",{"id":314,"title":315,"titles":316,"content":238,"level":239},"\u002Fguide\u002Fprospective\u002Fadmission#录取分数线","录取分数线",[27],{"id":32,"title":31,"titles":318,"content":319,"level":233},[],"可能对你有用的一些经验",{"id":321,"title":322,"titles":323,"content":324,"level":239},"\u002Fguide\u002Fprospective\u002Fzhongkao#为什么要写这个","为什么要写这个？",[31],"理论上来讲这部分应该不归我们管，或者说通常来说你应该去询问你目前的初中老师或者在网上搜索。\n但是当时的我们对于中考的各种流程、时间等等感到非常困惑，因为太多了，很难有一个地方把它们聚合起来。 所以还是那句话，因为淋过雨，所以我们很想为你撑把伞。",{"id":326,"title":327,"titles":328,"content":329,"level":239},"\u002Fguide\u002Fprospective\u002Fzhongkao#时间线和相关说明","时间线和相关说明",[31],"当你在阅读这个文章时，你肯定，至少大概率已经在初三下学期了。所以我们从初三下学期开学开始：",{"id":331,"title":332,"titles":333,"content":334,"level":250},"\u002Fguide\u002Fprospective\u002Fzhongkao#_3月报名","3月：报名",[31,327],"3月20日-27日：网上报名。这是参加中考的第一步，务必在规定时间内登录 深圳市中考中招管理系统 完成。\n届时学校和老师会给你们提供具体的操作说明。 3月22日-30日：网上缴费。报名后需留意缴费通知，成功缴费才算报名完成。",{"id":336,"title":337,"titles":338,"content":339,"level":250},"\u002Fguide\u002Fprospective\u002Fzhongkao#_4月体育考试","4月：体育考试",[31,327],"4月13日-30日：体育中考。考试将分区、分考点进行。 总共有三个考试项目。 总分50分，包含现场统一考试（36分）和过程性评价（14分）两部分。",{"id":341,"title":342,"titles":343,"content":344,"level":250},"\u002Fguide\u002Fprospective\u002Fzhongkao#_5月听说考试实验操作志愿填报","5月：听说考试、实验操作、志愿填报",[31,327],"5月16日-17日：英语听说考试。满分25分，计入英语科目总分。 5月23日-24日：物理、化学实验操作考试。两科合计满分20分。 5月23日-6月1日：网上填报志愿。考前填报，提交后无法修改，请综合模考成绩、排名等数据合理填报。 志愿填报提醒：一定注意不要填错了。每个学校都有独一无二的招生编码，使用招生编码进行填报是最不容易出错的。务必谨慎冲高和报低。这是一个非常复杂的问题，一言两语似乎是说不清楚的，你可以和老师或家长坐下来聊聊。当然，如果你对自己有足够的自信，跟随内心也未尝不可。不建议过于相信志愿填报机构和校外老师。录取优先级上，自主招生（中考+校考）＞指标生（校内或区级排名择优）＞正取（普通录取）",{"id":346,"title":347,"titles":348,"content":349,"level":250},"\u002Fguide\u002Fprospective\u002Fzhongkao#_6月文化考试","6月：文化考试",[31,327],"6月26日-28日：全市统一中考（文化课笔试）。这是整个备考过程的最终检验。 考试安排： 日期上午 (9:00开始)下午 (14:30开始)6月26日 (周五)语文 (120分)物理与化学 (合卷，140分)6月27日 (周六)数学 (100分)历史 (70分) 及 道德与法治 (开卷，50分)6月28日 (周日)英语笔试 (75分)考完了喵！ 总分说明：2026年深圳中考总分调整为 630分。除上述笔试科目外，英语听说考试（25分）、物理与化学实验操作（20分）及体育考试（50分）等已另行安排并计入总分。",{"id":351,"title":352,"titles":353,"content":354,"level":250},"\u002Fguide\u002Fprospective\u002Fzhongkao#_7月-8月自主招生成绩公布与录取","7月-8月：自主招生、成绩公布与录取",[31,327],"7月4日-5日：普高自主招生考核。如果你报名了公办普高的自主招生，需到校参加综合能力考核，也就是所谓的“机考”。 7月16日前：公布中考成绩。届时可登录官方平台查询成绩，如有疑问可申请成绩复核。 7月17日左右：自主招生录取 7月25日-8月下旬：中招录取。录取工作将分批次进行，会陆续公布各批次的录取分数线，请保持关注。",{"id":38,"title":42,"titles":356,"content":357,"level":233},[],"深大附中校园环境、设施和校园生活",{"id":359,"title":360,"titles":361,"content":362,"level":250},"\u002Fguide\u002Fcampus#校园概况","校园概况",[42],"学校风景 深大附中（中心校区），其实也就是高中部校区，位于南山区前海路，你可以通过地铁五号线荔湾站到达学校，这是大多数同学选择的通勤方式。 校园很小，总体来讲是一个走廊延伸出的很多栋楼，大体上可以分为：教学区，宿舍，操场，食堂和体育馆。这些楼都以“X云楼”命名。其中的教室或房间都以一个字母和三个数字组成，如A101 ，即为A栋，1楼，01号教室。 其中将这些部分串联起来的走廊分上下两层。下层可以通往：教学区一楼，食堂，超市。上层可以通往：教学区的教室部分，宿舍，拿云广场（即教学区中部的一块空地）。下层走廊的宿舍门有时会打开，可以直接通往宿舍。具体请参考《新生手册》的地图部分。当然也欢迎查看网站中的互动地图（施工中）。",{"id":364,"title":365,"titles":366,"content":367,"level":250},"\u002Fguide\u002Fcampus#设施一览","设施一览",[42],"宿舍 — 宿舍布局与生活指南小卖部 — 校内购物好去处校医室 — 看病流程与医保说明地质园 — 校内唯一的散步好去处教室 — 教室布局与设备说明厕所 — 教学区域厕所分布与使用指南",{"id":45,"title":44,"titles":369,"content":370,"level":233},[],"宿舍规格、管理制度和入住须知 不睡觉的话，人会很累。宿舍可以睡觉，所以宿舍很好。",{"id":372,"title":373,"titles":374,"content":375,"level":239},"\u002Fguide\u002Fcampus\u002Fdorm#开始","开始",[44],"军训前一天下午入住宿舍。届时家属可以进入学校帮忙整理布置宿舍，顺便参观学校。 学校提供的用品：所有床上用品，一个牙杯，蚊帐。你需要准备别的生活用品。 请务必仔细阅读入学手册的相关内容，这对你享受住宿生活有很大的帮助。 注意：本文内容主要参照男生宿舍，女生宿舍的情况可能略有差别。",{"id":377,"title":378,"titles":379,"content":380,"level":239},"\u002Fguide\u002Fcampus\u002Fdorm#规格","规格",[44],"F，G两栋为宿舍。宿舍没有电梯，有六层。 关于电梯：男生开学时可以借用教师电梯搬行李，但平时用不了。女生则完全没有电梯可用。 有一个风扇和一个空调，空调只能制冷。 房间分为两种：",{"id":382,"title":383,"titles":384,"content":385,"level":250},"\u002Fguide\u002Fcampus\u002Fdorm#六人间","六人间",[44,378],"大多数宿舍都是六人间，内含三张木制上下床。男生宿舍的六人间通常住满，随机掉落住五个人甚至更少。女生宿舍的六人间通常为五人入住。宿舍内每人有一个木制柜子，有一个阳台，阳台上有四个洗手台。",{"id":387,"title":388,"titles":389,"content":390,"level":250},"\u002Fguide\u002Fcampus\u002Fdorm#四人间","四人间",[44,378],"创新班的男生在高一阶段会入住四人间，内含两张铁质上下床。通常住满。宿舍内每人有一个木制柜子，有一个阳台，阳台上有三个洗手台。",{"id":392,"title":393,"titles":394,"content":395,"level":239},"\u002Fguide\u002Fcampus\u002Fdorm#管理","管理",[44],"宿管会固定地管理一些宿舍。包括：叫起床，熄灯前查寝，熄灯后巡逻。 中午查寝时间为 夏令时：12:45 冬令时：12:50 晚上查寝时间为 22:45（第一次） 23:10后（开始扣分） 23:30后，除非特殊情况，基本不再查寝。 一般来说每个宿管负责的区域是一定的。 熄灯后会查人数，还会不定时巡逻看有没有人在讲话。 有时会刷新出校领导和老师查寝。包括但不限于班主任，年级主任，校长。 宿舍违纪行为包括但不限于：晚出，晚归，熄灯后讲话。 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其实有免费洗澡的淋浴间，敬请自己探索。（坏笑）",{"id":421,"title":422,"titles":423,"content":424,"level":250},"\u002Fguide\u002Fcampus\u002Fdorm#宿舍电话","宿舍电话",[44,408],"每个寝室内都有电话。熄灯前可以使用，熄灯后不能拨出拨入。",{"id":49,"title":48,"titles":426,"content":427,"level":233},[],"校园超市和自动售货机指南 学累了的话，那就狠狠消费吧！",{"id":429,"title":430,"titles":431,"content":432,"level":239},"\u002Fguide\u002Fcampus\u002Fshop#超市","超市",[48],"只能使用校园卡消费，自助结账。你可以买到：零食，饮料，泡面，方便米饭，生活用品，早上运过来的汉堡和面包。 课间时间和上学前及放学后开放。 每月最后一天晚上不开门，要进行盘点。 不定期有新品刷新。新品往往很抢手，不建议盲目购买，因为很可能并没有想象中的那么美味。",{"id":434,"title":435,"titles":436,"content":437,"level":239},"\u002Fguide\u002Fcampus\u002Fshop#售货机","售货机",[48],"共有6台售货机，均位于超市附近。 第1台中有面包，泡面，豆奶，柠檬茶。第2\u002F3台中有乳制品，如纯牛奶，酸奶等。第4台为教职工专用。第5\u002F6台中有饮料和水。",{"id":439,"title":440,"titles":441,"content":442,"level":239},"\u002Fguide\u002Fcampus\u002Fshop#如果你真的非常好奇能买到什么","如果你真的非常好奇能买到什么",[48],"那可以看这个。 注意：产品随时会下架和更新。所以以下内容仅供参考。 非常感谢由 2025级七班数学吴彦组 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手机、平板、耳机……哪些能带、哪里会被查体育运动 — 球场、操场、体育馆，运动爱好者的地盘上网 — 电子阅览室（俗称网吧）的上机指南学校活动 — 艺术节、研学、比赛，校园生活的精彩时刻学校铃声 — 听听那些陪伴你三年的校园铃声猫 — 校园里的猫咪图鉴，吸猫指南食堂消费 — 在神府一天吃要花多少钱广播站 — 校园点歌与放歌说明仪容仪表 — 校服规范与仪容要求校园氛围 — 校园风气与周末安排",{"id":77,"title":76,"titles":544,"content":545,"level":233},[],"深大附中食堂点餐指南",{"id":547,"title":548,"titles":549,"content":550,"level":250},"\u002Fguide\u002Flife\u002Feat#概况","概况",[76],"神府食堂实行订餐制、点餐制结合。 非常规菜品必须预定，如盖浇饭、煲仔饭。",{"id":552,"title":553,"titles":554,"content":555,"level":250},"\u002Fguide\u002Flife\u002Feat#窗口分布","窗口分布",[76],"餐厅一楼大多数窗口为订餐窗口，左侧倒数第一第二个为意面、荷叶饭窗口，第三四个窗口为当场点餐窗口。左侧还有一个煲仔窗口，在那里领取煲仔饭、关东煮。 负一楼为特色窗口，可以当场购买盖浇面，或领取盖浇饭。",{"id":557,"title":558,"titles":559,"content":560,"level":250},"\u002Fguide\u002Flife\u002Feat#如何点餐","如何点餐",[76],"可以使用教室门外的平板、教室内电脑、机房电脑、图书馆电脑、微信智慧附中公众号。若内网电脑没有保存点餐页面，访问 11.35.98.56 即可跳转。 每周三下午六点左右刷新下一周的菜单。届时可以抢购抢手菜品，如香妃鸡盖浇饭、孜然牛肉煲仔饭、酸菜牛肉盖浇饭等。 每天下午六点前可以修改明日订餐，过时则只能受着。 （正在施工）欢迎查看 My SDFZ 中的食堂数据汇总，这会帮你决定该吃点什么。 关于默认套餐 —— 很重要！点餐系统会在每周日为所有未订餐的住宿生自动点默认套餐。即系统会帮你点菜，一般是一荤一素。但是这个套餐的设定者和你的口味偏好基本上不同，所以说他自动帮你点的菜可能不合你的口味。而且因为是自动生成并预定的，所以你如果想在某一天不吃饭 \u002F 吃泡面 \u002F 点外卖而没有取消默认套餐的话，你的账户会自动扣款10-15元，并帮你点默认套餐。你的钱就会浪费掉，而且不能找事务中心追回（因为是个人原因）所以建议提前一周在校内使用内网系统取消下周订默认套餐，若忘记，可以于周末在智慧附中公众号操作，但麻烦一些。",{"id":81,"title":80,"titles":562,"content":563,"level":233},[],"校园卡的使用、充值和补办说明 从洗澡吃饭，到解锁宿舍门禁，甚至是使用网吧，在学校中的生活离不开校园卡。请确保你随身携带校园卡，最好套个卡套，不然会很容易丢失。",{"id":565,"title":566,"titles":567,"content":568,"level":250},"\u002Fguide\u002Flife\u002Fcard#存钱","存钱",[80],"方法一：家长使用银行 App 充值。新生手册中对此有详细说明，家长也会收到相关资料。这里不做过多说明。 方法二：现金充值。在A101教室 \u002F 进入校门后的右侧有两台类似 ATM 的机器，校园卡充值机器是左边的，刷卡登录，选择现金充值即可。",{"id":570,"title":571,"titles":572,"content":573,"level":250},"\u002Fguide\u002Flife\u002Fcard#分发","分发",[80],"在开学考试时，你会收到校园卡。 卡片背面有你的照片，名字和卡号。初始密码是你的身份证号码后六位。",{"id":575,"title":576,"titles":577,"content":578,"level":250},"\u002Fguide\u002Flife\u002Fcard#补办","补办",[80],"人生中总有意外，校园卡落在家里是比较绝望的一个。 想要补办一张校园卡，在A101教室 \u002F 进入校门后的右侧有两台类似 ATM 的机器，校园卡补办机器是右边的。首先挂失，然后点击补办。等待一分钟左右，你的校园卡将复活。 补办要花钱，20元，在你的校园卡丢失到挂失这一段时间内，所有的消费由你自行承担。 注意：校园卡补办后的 12小时内，不能使用网吧。",{"id":580,"title":581,"titles":582,"content":583,"level":250},"\u002Fguide\u002Flife\u002Fcard#nfc","NFC",[80],"校卡可以进行 NFC 复制，但是只能复制信息。 可以：刷门禁，刷班级柜子，刷点餐机不可以：付款（食堂现场点餐，小卖部，售货机，洗澡，洗衣服）(其实有复制成功且可以当作正常卡成功的案例，但是方法很玄学。如果有了解的同学可以告诉我们)",{"id":85,"title":84,"titles":585,"content":586,"level":233},[],"外卖和快递的收取方式与注意事项",{"id":588,"title":589,"titles":590,"content":591,"level":250},"\u002Fguide\u002Flife\u002Fdelivery#外卖","外卖",[84],"校方允许外卖进校。外卖柜设置在校内A101教室对面，直接取用即可。 跟大多数学校一样，可能会有人偷外卖，而且学校不负责，所以你只能在校园墙上谴责 没有规定食用外卖的位置。 地址：广东省深圳市南山区南山街道深大附中高中部",{"id":593,"title":594,"titles":595,"content":596,"level":250},"\u002Fguide\u002Flife\u002Fdelivery#快递","快递",[84],"校方允许寄快递到学校。你需要在E栋1楼楼梯旁自行寻找快递。 地址：广东省深圳市南山区南山街道深大附中高中部高一快递柜 注意：快递不好找而且容易丢失，而且快递丢失校方不负责，非必要不建议寄到学校，特别是贵重物品。",{"id":89,"title":88,"titles":598,"content":599,"level":233},[],"校内安检与电子产品携带规则 可能是你很关心的话题。",{"id":601,"title":602,"titles":603,"content":604,"level":250},"\u002Fguide\u002Flife\u002Felectronic-device#安检","安检",[88],"进校前你需要接受安检。行李通过安检机，人通过安检门。 绝对不可以携带： 手机，Pad，电脑，游戏机，大屏MP3\u002F4，充电宝，电子书 这些违禁品即使在安检处被发现，也大概率会被没收。切勿以身试法。 充电宝虽然不能带入校园，但可以放到校门口的手机管理柜中，详情见手机管理柜说明。 可以携带： 无线耳机，有线耳机，MP3，电子手环\u002F手表。经过安检门前需要取出放置在塑料筐内，否则过安检的时候安检门会嘀嘀嘀的响，然后家长义工会让你重新过一遍，很浪费时间。",{"id":606,"title":607,"titles":608,"content":609,"level":250},"\u002Fguide\u002Flife\u002Felectronic-device#wi-fi","Wi-Fi",[88],"网络说明SZUNCMS工作人员网络SZ-WLAN（free）深圳政府 wifi，可用，但需要手机验证码",{"id":93,"title":92,"titles":611,"content":612,"level":233},[],"电子阅览室（网吧）使用指南 学校有网吧这件事其实也不值得炫耀吧。。对呀这不是很正常吗（阴阳怪气）",{"id":614,"title":615,"titles":616,"content":617,"level":250},"\u002Fguide\u002Flife\u002Fplaying-computer#简介","简介",[92],"深大附中对于学生的最大福利。官方名称为电子阅览室，学生通常称为网吧。位于A栋2楼图书馆。 自备3.5mm有线耳机。 电脑分为三种，从新到旧，系统分别为 Windows 11 和 Windows 7。 新的电脑 USB 口不具备数据传输功能，但可以充电。旧的电脑可以使用U盘等存储设备，迫切需要查看文件的同学孤可以使用。",{"id":619,"title":620,"titles":621,"content":622,"level":250},"\u002Fguide\u002Flife\u002Fplaying-computer#使用规则","使用规则",[92],"每人每天有一小时玩电脑时间，\n不能玩游戏和看关于游戏的内容。被发现则拉黑，60个工作日后方可申请解除。 Step 1：排队刷卡上机 Step 2：找到一个空着的座位，打开电脑 Step 3：登录。账号密码都是校园卡号。 Step 4：使用完后，为了方便下一个人使用，不建议关机。可以在底部状态栏右侧找到机房管理图标，右键登出。亦可直接关机\u002F重启。 Step 5：刷卡下机",{"id":97,"title":96,"titles":624,"content":625,"level":233},[],"校园体育设施和使用指南 生命在于运动。——我也不知道谁说的 校内有室内羽毛球场×6、室内乒乓球场×1、室外羽毛球场×1、室外篮球场×4、300m操场×1。 A101教室旁还有两个跑步机。 放学后皆可随意使用，遵守先到先得准则即可。有公共球和球拍可以借用。 羽毛球场，篮球场非常火爆，经常抢不到，如果抢不到的话可以拿个红超进去询问能不能一起打，多半会同意的（坏笑）",{"id":101,"title":100,"titles":627,"content":628,"level":233},[],"校园内常用的铃声，可在线试听(反正听多了自己会烦) 以下是学校日常使用的四种铃声，点击播放按钮即可试听。",{"id":105,"title":104,"titles":630,"content":631,"level":233},[],"深大附中的各类校园活动 活动不少，但有时会集中在某段时间或占用课余时间。 大型活动差不多有： 情归纸笔 秋季运动会 秋季合唱比赛 秋季英语歌唱\u002F配音比赛 秋季艺术节\u002F十大歌手 春季各种小活动 研学在高一下学期进行，在高考期间出发，利用考场空档期。",{"id":109,"title":108,"titles":633,"content":634,"level":233},[],"校园里的猫咪们 全世界的人都喜欢猫猫，神府刚好就有很多猫猫，所以全世界的人都喜欢神府（bushi 校园中有比较多的猫，集中在食堂出口左侧的道路。校方并不鼓励学生触摸和喂食这些猫，\n因为这可能会有一些危险，如抓伤，咬伤。不过萌宠社相关人员和一些教职工会照顾它们，\n所以无需担心。有一个学生自发组织的共享猫的照片的微信群，欢迎加入。 请在保证安全的前提下和猫咪们互动。如果被攻击了，请尽快前往医务室寻求帮助。",{"id":636,"title":637,"titles":638,"content":238,"level":239},"\u002Fguide\u002Flife\u002Fcats#猫咪图鉴","🐱 猫咪图鉴",[108],{"id":113,"title":112,"titles":640,"content":641,"level":233},[],"深大附中食堂每日消费参考 在神府吃饭，花多少钱能吃饱是个实在问题。这里整理了一份日常消费参考，帮你在月初合理规划生活费。 注意，本篇文章是按照作者（男生，BMI正常）的生活习惯制定的，建议还是自己吃一个月看看能花多少钱。文章仅供参考",{"id":643,"title":644,"titles":645,"content":646,"level":250},"\u002Fguide\u002Flife\u002Fdaily-cost#日均消费","日均消费",[112],"正常吃三餐的情况下，每日食堂消费大约在 30–50 元 之间。如果不吃早餐或吃得简单，可以控制在 25 元 左右。",{"id":648,"title":649,"titles":650,"content":651,"level":250},"\u002Fguide\u002Flife\u002Fdaily-cost#各餐价格参考","各餐价格参考",[112],"以下价格基于作者的日常饮食习惯，丰俭由人： 餐次大致价格说明早餐3–8 元包子、鸡蛋、粉面等午餐10–20 元两菜一汤或直接吃套餐晚餐10–20 元同午餐，可选面食等其他约 10 元酸奶、饮料、零食加餐共计30–50 元天天食堂党的日常 如果你不想去食堂，泡面也是一条出路，一顿 5–8 元就能搞定，但不推荐长期这样吃。 关于夜宵：深附是有夜宵供应的。不吃晚饭的话，可以去吃夜宵，吃饱的价格和晚餐差不多。但如果吃完晚餐再去吃夜宵，那就是另外的价钱了。",{"id":653,"title":654,"titles":655,"content":656,"level":250},"\u002Fguide\u002Flife\u002Fdaily-cost#扣费方式","扣费方式",[112],"所有食堂消费均通过校园卡扣费： 订餐：系统在每周日自动扣费，取消订餐需提前操作现场点餐：在窗口刷卡付款，当场扣费小卖部：同样使用校园卡付款 校园卡余额可以在教学楼 A101 的充值机或家长手机银行 App 充值，详见校园卡页面。",{"id":658,"title":659,"titles":660,"content":661,"level":250},"\u002Fguide\u002Flife\u002Fdaily-cost#月度预算估算","月度预算估算",[112],"按每月在校约 22 天计算： 用餐方案日均花费月花费三餐正常吃30-50 元约 700 元不吃早餐25-40 元约 550 元简单吃20-30 元约 500 元 建议每月饭卡充值 500–1000 元，基本可以覆盖在校期间的伙食开支（具体视个人情况而定）。",{"id":117,"title":116,"titles":663,"content":664,"level":233},[],"校园广播站放歌与点歌说明 每天听下自己喜欢的歌挺好的 虽然说广播站这玩意是每个学校的标配，但是还是要拉开了说一下 中午、下午最后一节课下课后，由知音社成员轮班放歌，可自行前往 C202（拿云石旁边）点歌 歌曲内容要积极向上，网络烂梗不行一般老师办公室有广播，不在广播站广播考试周不放歌",{"id":121,"title":120,"titles":666,"content":667,"level":233},[],"校服规范与仪容要求",{"id":669,"title":670,"titles":671,"content":672,"level":250},"\u002Fguide\u002Flife\u002Fappearance#着装","着装",[120],"在校期间穿校服校徽不强制要求佩戴不需要买礼服和皮鞋",{"id":674,"title":675,"titles":676,"content":677,"level":250},"\u002Fguide\u002Flife\u002Fappearance#头发","头发",[120],"拒绝杀马特发型根据观察，小范围且颜色较浅的“挑染”并不会被要求整改。",{"id":679,"title":680,"titles":681,"content":682,"level":250},"\u002Fguide\u002Flife\u002Fappearance#饰品","饰品",[120],"原则上不可以佩戴耳钉、耳环等饰品",{"id":125,"title":124,"titles":684,"content":685,"level":233},[],"使用校内电话的指南 远方的亲人是你在校最大的牵挂，但遍布各处的电话可以帮你缩短距离。",{"id":687,"title":688,"titles":689,"content":690,"level":250},"\u002Fguide\u002Flife\u002Ftelephone#公共座机电话","公共座机电话",[124],"学校有免费的公共座机电话供学生使用。使用方法很简单，拿起来直接拨号即可。",{"id":692,"title":693,"titles":694,"content":695,"level":250},"\u002Fguide\u002Flife\u002Ftelephone#宿舍壁挂电话","宿舍壁挂电话",[124],"每个宿舍里都有固定的壁挂电话。使用步骤如下： 拿起电话输入校园卡号，按 # 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(看我递归)",{"id":138,"title":137,"titles":738,"content":739,"level":233},[],"课程、考试、竞赛与社团",{"id":741,"title":137,"titles":742,"content":743,"level":239},"\u002Fguide\u002Fstudy#学习生活",[137],"想知道学校的考试安排、竞赛机会、社团活动？这部分会为你介绍深大附中的学习和活动情况。",{"id":745,"title":302,"titles":746,"content":747,"level":250},"\u002Fguide\u002Fstudy#包含内容",[137,137],"日常学习安排 — 每日作息时间表，冬夏令时差异，帮你快速适应校园节奏课程设置 — 高中阶段开设的课程竞赛信息 — 五大学科竞赛及各类科创比赛，学有余力的挑战之路社团活动 — 各类社团招新与活动，找到你的兴趣组织校园活动 — 校内的各类活动，帮你规划考试相关 — 开学考、段考、期末考的安排与备考建议学业水平考试 — 关于学业水平考试的内容学长学姐带你学 — 学长学姐的的学习方法与经验分享师资与高考成绩 — 深大附中师资力量与高考升学情况",{"id":144,"title":143,"titles":749,"content":750,"level":233},[],"深大附中的每日时间安排与冬夏令时差异 在高一阶段，一天为上午五节，下午三节，共八节40min正课。 交作业时间一般为晚自习第二节或第三节下课。 在深大附中，冬季和夏季的作息是不一样的。 夏季（五一假期后）：大课间为 15min 眼保健操，中午 12:05 放学，12:45 打铃。 冬季（国庆假期后）：大课间替换为 25min 跑操，中午 12:15 放学，12:50 打铃。 以下是具体的夏令时作息表：",{"id":752,"title":753,"titles":754,"content":755,"level":250},"\u002Fguide\u002Fstudy\u002Fdaily-routine#夏令时作息表","夏令时作息表",[143],"时间事项6:45起床铃，食堂开门7:15早读，食堂关门7:50早读结束8:00-8:40第一节课8:50-9:30第二节课9:30-9:45大课间9:45-10:25第三节课10:35-11:15第四节课11:25-12:05第五节课12:05-12:45午饭12:45-13:50午睡14:05-14:50第六节课15:00-15:40第七节课15:50-16:30第八节课16:40-17:20第九节课 \u002F 社团 \u002F 自由活动17:30-18:50晚饭、自由活动19:00-19:50第一节晚自习20:00-20:50第二节晚自习21:00-22:05第三节晚自习22:05-22:45夜宵22:45打铃睡觉 其实每一个吃饭的时间内你的行动不限，可以去打球、洗澡、吃泡面、逛逛",{"id":757,"title":758,"titles":759,"content":760,"level":250},"\u002Fguide\u002Fstudy\u002Fdaily-routine#冬令时变化","冬令时变化",[143],"国庆假期后进入冬季作息。大课间从 15min 替换为 25min 跑操，高一年级需要在外操场跑三圈，每天都会随机抽取班级核查人数。 相应地上课时间整体推迟 10min，下午课程不变： 时间事项6:45起床铃，食堂开门7:15早读，食堂关门7:50早读结束8:00-8:40第一节课8:50-9:30第二节课9:30-9:55跑操（25min）9:55-10:35第三节课10:45-11:25第四节课11:35-12:15第五节课12:15-12:50午饭12:50-13:50午睡14:05-14:50第六节课15:00-15:40第七节课15:50-16:30第八节课16:40-17:20第九节课 \u002F 社团 \u002F 自由活动17:30-18:50晚饭、自由活动19:00-19:50第一节晚自习20:00-20:50第二节晚自习21:00-22:05第三节晚自习22:05-22:45夜宵22:45打铃睡觉",{"id":148,"title":147,"titles":762,"content":763,"level":233},[],"学校的各类考试信息 深大附中有多种形式的考试，包括日常测验、阶段考试和重点考试等。",{"id":765,"title":766,"titles":767,"content":768,"level":239},"\u002Fguide\u002Fstudy\u002Fexams#开学考试","开学考试",[147],"范围为中考知识，一天考完，不考历史道法。时间详见开学大礼包中的通知。 这与中考成绩共同决定了你的初始分班。",{"id":770,"title":771,"titles":772,"content":773,"level":250},"\u002Fguide\u002Fstudy\u002Fexams#分科前分班情况","分科前分班情况",[147,766],"创新班 ×3 > 实验班 ×5 > 重点班 ×5 及 艺术班 ×1",{"id":775,"title":776,"titles":777,"content":778,"level":250},"\u002Fguide\u002Fstudy\u002Fexams#分科后分班情况","分科后分班情况",[147,766],"竞赛班 ×1 > 创新班 ×2 = 弘文班 ×1 > 探究班 > 艺术班 竞赛班是一个年级最最最优秀的班，班内约30人，会给予最好的师资去培养，选科均为物化生。\n为什么叫竞赛班？因为所有人需要报名一个竞赛。 创新班次之，但也会给比较好的师资培养，选科物化生，不需要报名竞赛。 弘文班即文科重点班，选科物化地 \u002F 史政地。 班型及数量会每个年级动态调控，所以可能有变动。 选科分班后，若不想学你一开始的选科，可以申请调班。 每学期结束后，每个班会有微量人员调动，遵循末位淘汰 + 个人意愿原则。",{"id":780,"title":781,"titles":782,"content":783,"level":239},"\u002Fguide\u002Fstudy\u002Fexams#小考","小考",[147],"次数不多，但都会进行电脑阅卷。 一般在周日晚自习进行。",{"id":785,"title":786,"titles":787,"content":788,"level":239},"\u002Fguide\u002Fstudy\u002Fexams#段考","段考",[147],"每学期共有2-3次阶段考试。高一上学期在10月中，12月初，和学期末（视情况而变）。 我们一般与松山湖东莞中学联考，互相批改。有时也自己考。 成绩出得非常快，一般不会慢于一个周末或三天。 三次段考共同决定了你的分科分班。第一、第二次看九科成绩，第三次看六科成绩。比例暂时不详。",{"id":152,"title":151,"titles":790,"content":791,"level":233},[],"深大附中的社团活动指南 上图社团并非所有社团，更多信息请关注学校官方 在高一高二阶段，每周三下午第九节课是社团活动时间。 在高一开学几周后将进行线上社团选课，大多数可以随意选择，虽然有的可能要抢。 期末会发一张社团证，这对学分非常重要。无故缺席三次及以上将被开除，不能获得社团证。 社团每学期重新报名一次。特殊社团（如竞赛）会锁定一个学年。",{"id":156,"title":155,"titles":793,"content":794,"level":233},[],"深大附中的竞赛社团情况",{"id":796,"title":797,"titles":798,"content":799,"level":250},"\u002Fguide\u002Fstudy\u002Fcompetitions#总况","总况",[155],"科目情况生物成绩最好，属于强队化学成绩非常不错物理成绩稳中有进数学成绩稳中有进信息成绩稳中有进",{"id":801,"title":802,"titles":803,"content":804,"level":250},"\u002Fguide\u002Fstudy\u002Fcompetitions#竞赛内容及选拔要求","竞赛内容及选拔要求",[155],"PS：本篇内容源自官方公众号篇目2026级新高一竞赛自主学习指引",{"id":806,"title":807,"titles":808,"content":809,"level":468},"\u002Fguide\u002Fstudy\u002Fcompetitions#数学","数学",[155,802],"数学竞赛适合有一定数学竞赛基础、逻辑思维突出的同学 高中数学联赛分为一试、二试，一试为高考内容及拔高，二试内容为单独的四个板块（代数、几何、数论、组合） 一试模块：完成人教A版必修一的学习 二试模块：完成《小蓝本》高中卷15数论的学习，至少要初步了解数论包括哪些内容",{"id":811,"title":812,"titles":813,"content":814,"level":468},"\u002Fguide\u002Fstudy\u002Fcompetitions#物理","物理",[155,802],"物理竞赛要求具备扎实数学基础的同学 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学习顺序（由易到难）贪心+二分：掌握区间、排序贪心与证明方法，熟练整数、实数二分，重点攻克二分答案+贪心校验核心套路KMP与字符串哈希：吃透KMP前缀函数、循环节，掌握自然溢出与双模数哈希，适配字符串匹配、回文判定题型基础图论：精通邻接表存储，掌握DFS\u002FBFS遍历、Floyd、堆优化Dijkstra、SPFA、Kruskal、拓扑排序及并查集基础动态规划：掌握线性、背包、区间、树形、状压DP，熟练滚动数组、单调队列优化、数位DP，优先记忆化搜索再转递推线段树基础：掌握单点\u002F区间修改、懒标记、区间查询，会用离散化解题，了解区间最大子段和拓展选学扫描线、动态开点 依托《算法竞赛进阶指南》，刷题以模板题+中档题为主，模块结束后刷CSP真题，整理边界、模板类错题",{"id":831,"title":832,"titles":833,"content":834,"level":250},"\u002Fguide\u002Fstudy\u002Fcompetitions#加入","加入",[155,802],"在开学前一周进行测试选拔，入选进竞赛的同学将被在开学后分配到竞赛班中可能会有暑期特训，此时选拔将提至开学前一个月，并且入选同学将进行为期约三周的特训课程（目前已知28届为信息、29届为物理）更多信息请进入学校的竞赛咨询群询问",{"id":836,"title":837,"titles":838,"content":839,"level":250},"\u002Fguide\u002Fstudy\u002Fcompetitions#注意","注意",[155,802],"竞赛视为社团，学期末会发社团证入选竞赛的同学社团会被锁定，无法参加线上社团报名，理论上如果时间不冲突，可以自行线下找负责老师参加社团活动（但没有社团证）学科竞赛应以冲省队为目标，竞赛学习投入时间多、难度大，若仅为提升高考成绩，常规课程体系已融入强基等校本课程，可满足高考拔尖需求",{"id":160,"title":159,"titles":841,"content":842,"level":233},[],"深大附中师资力量与高考升学情况",{"id":844,"title":845,"titles":846,"content":847,"level":239},"\u002Fguide\u002Fstudy\u002Fteachers-and-results#师资力量","师资力量",[159],"深圳十大里顶尖的老师水平不会差多少，毕竟高考考纲放在那里，到高中主要还是靠自己。深附的师资和四大差距不大。 由于生源问题导致分数固化，老师只能讲得相对简单一些。实际上每个老师都希望自己的学生能学好。深附的老师入职要求至少是研究生中的优秀者。学校师资也很稳定，不会出现老师被调走挖走的情况。 补充信息： 所有教深附拿云班的老师都会带平行班，这也是一般学校比不上的地方。关于老师的各种吐槽仅供参考，请自行体会。",{"id":849,"title":850,"titles":851,"content":852,"level":239},"\u002Fguide\u002Fstudy\u002Fteachers-and-results#高考成绩","高考成绩",[159],"和四大（深中、实验、深外、高级）有差距，但深附的成绩绝对配得上八大的称号。",{"id":164,"title":163,"titles":854,"content":855,"level":233},[],"高中开设的课程",{"id":857,"title":858,"titles":859,"content":860,"level":250},"\u002Fguide\u002Fstudy\u002Fcourses#科目","科目",[163],"高一年级开设的课程包括： 语文、数学、英语物理、化学、生物历史、地理、政治每周 2 节 体育课每周 1 节 社团课美术、音乐、信息技术 在上半学期： 语文、英语每周各5节数学每周7节物理、化学、生物每周各3节历史、地理、政治每周各2节 在下半学期： 语文、英语每周各5节数学每周6节选科每周各4节非选科每周各1节（学水课） 高二不开设化学、生物、地理、历史的学水课（因为考完了喵） 高二、高三不开设美术、音乐、信息技术课程（但还没考学水不要松懈喵） 高三不开设社团课与任何学水课",{"id":862,"title":863,"titles":864,"content":865,"level":250},"\u002Fguide\u002Fstudy\u002Fcourses#选科","选科",[163],"在高一上学期末（大概1月份左右），学校会安排选科 要求从物理、历史中选择一门，从化学、生物、地理、政治中选择两门作为你的高考选科 包括非选科在内的六科都要进行学业水平考试，所以尽量不要在非选科课上摸鱼 正式选科前可能会有一次预选科，用于辅助学校进行师资分配",{"id":168,"title":167,"titles":867,"content":868,"level":233},[],"学水",{"id":870,"title":871,"titles":872,"content":873,"level":250},"\u002Fguide\u002Fstudy\u002Fstudy-water#考试内容","考试内容",[167],"学业水平考试（简称学水）是高中阶段的一项重要考试，对升学有一定影响，成绩过低或未参加学水则无法报名高考，考试科目有历史、化学、地理、生物、物理、政治、音乐、美术、信息技术，其中音乐、美术、信息技术为机考，其余为笔试 物化生历政地的考题全为选择，满分皆为100分，具体题型分布如下： 物理：10道1分单选，30道2分单选，10道3分正常多选化学：10道1分单选，35道2分单选，15道2分不定向选择生物：40道2分单选，10道有材料的2分单选历史：30道1分单选，20道2分单选，10道3分双选政治：15道1分单选，20道2分双选，15道3分不定向选择地理：10道1分单选，30道2分单选，10道3分不定向选择 其中多选、不定向选择选不全得1分，双选选不全不得分 考察范围都为高中必修课本内容",{"id":875,"title":876,"titles":877,"content":878,"level":250},"\u002Fguide\u002Fstudy\u002Fstudy-water#考试时间","考试时间",[167],"高一下学期（7月初）：进行历史、化学、地理、生物学水考试高二上学期（1月左右）：进行物理、政治学水考试高二：进行音乐、美术、信息技术学水考试",{"id":880,"title":881,"titles":882,"content":883,"level":250},"\u002Fguide\u002Fstudy\u002Fstudy-water#相关内容","相关内容",[167],"考试结果不理想可以在下次学水考试中重新尝试。\n但注意，我校仅在高一开设历史、化学、地理、生物、音乐、美术、信息技术学水课程，在高二上开设物理、政治水课程。\n不会再给你开设相应学水课程补救，需要自己复习备考。（这可能会占用你一些时间精力，所以推荐能一次过学水就一次过）",{"id":172,"title":171,"titles":885,"content":886,"level":233},[],"学校的活动情况",{"id":888,"title":889,"titles":890,"content":891,"level":250},"\u002Fguide\u002Fstudy\u002Fcampus-activities#上半学年","上半学年",[171],"军训7天（八月底）高二足球比赛（十月）运动会2天（十一月）科技节（十二月）——下午活动时间开展，部分社团活动属于科技节一部分高一班级合唱比赛（十二月）高一英语歌唱比赛（一月）高二英语配音比赛（一月）小研学（？？？）——疑似每两年一次",{"id":893,"title":894,"titles":895,"content":896,"level":250},"\u002Fguide\u002Fstudy\u002Fcampus-activities#下半学年","下半学年",[171],"艺术节： 十大歌手（三月\u002F四月）——分初赛、复赛、六强赛、艺术节演出四部分社团嘉年华半天（三月\u002F四月）——各个社团可报名提供活动自由才艺展示（三月\u002F四月）——与十大歌手同日演出 高一班级语文课本剧表演（四月）高二班级舞蹈比赛（四月）大研学5天（六月）——在高考期间进行，不去者需完成居家研学",{"id":176,"title":175,"titles":898,"content":899,"level":233},[],"来自优秀学长学姐的学习经验与心得分享，涵盖理科思维、文科素养、学习工具运用与心态调节等多个维度。 在这里，优秀的学长学姐们会分享他们的学习方法和心得，希望能为你的学习之路提供一些启发和帮助。 每个人的学习方式都不尽相同，别人的方法不一定完全适合你。建议在借鉴的同时，结合自己的实际情况不断调整，找到最适合自己的节奏喵。",{"id":901,"title":902,"titles":903,"content":904,"level":250},"\u002Fguide\u002Fstudy\u002Flearning-experience#文章列表","文章列表",[175],"巧用B站网课与AI辅助，年级第一的错题整理法 — Hardy同学的经验分享巧用B站网课实现成绩突破，提前预习跟上节奏 — 一位理科同学的经验分享巧用AI学习工具与深度课外阅读 — 黄大为同学的经验分享遗忘曲线复习法与文科各科学习全覆盖指南 — 氯化钾同学的经验分享提高行动力，坦诚面对拖延的真实反思 — 一位文科同学的经验分享不被条条框框束缚，随性也是一种态度 — 一位随性同学的经验分享应试心态培养与AI学习工具的高效运用 — 一位学姐的经验分享",{"id":182,"title":181,"titles":906,"content":907,"level":233},[],"常年年级第一的Hardy同学以Q&A形式分享了预习复习、错题整理与心态调节方法，强调兴趣是最强驱动力，并推荐B站网课与AI工具辅助学习。",{"id":909,"title":910,"titles":911,"content":912,"level":239},"\u002Fguide\u002Fstudy\u002Fhardy-experience#qa","Q&A",[181],"为了编写这篇内容，我们联系了团队中学习最好的一位——Hardy，一名物化地考生。他非常爽快地同意了我们的采访，给出了许多有用的建议。 Hardy指出虽然这一套方法对他很有效，但是每个人适合的学习方法很大概率是不同的，所以建议你在学习、借鉴的同时，自己也尝试摸索一下喵。",{"id":914,"title":915,"titles":916,"content":917,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-experience#q1你平时是如何安排预习和复习的","Q1：你平时是如何安排预习和复习的？",[181,910],"很奇怪的是，我其实没有一个固定的学习计划，但我认为课前预习一遍知识点，做一些典型的例题是很有帮助的。此外关于复习，能在空闲时、有计划地翻一翻笔记是最好的，单单只是考前几天的复习是绝对不全面的。 硬要找一份计划出来的话，大抵是周中中睡、周末睡前我会阅读一数教辅吧【手动狗头】",{"id":919,"title":920,"titles":921,"content":922,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-experience#q2关于记笔记你认为最关键的逻辑是什么","Q2：关于记笔记，你认为最关键的逻辑是什么？",[181,910],"我认为笔记需要记录重要且不容易记住的知识点和题型。无论一时对一种题目多么熟练，过段时间肯定会忘的（就像我似乎已经忘记含参函数的解题方法了咕咕嘎嘎），记下典型例题，这样在复习时看一眼，你的记忆就会如潮水般涌回。 （For example，基本不等式部分例题的思路一般没有做题经验是很难想出来的，这些就很值得记入笔记本中） 总的来说就是记录：典型例题、易忘知识点、错题、做题思路及方法等（我觉得生物、化学还要特地记录一下课本一些琐碎的知识点及实验细节等，这两科题目很喜欢考察细节）",{"id":924,"title":925,"titles":926,"content":927,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-experience#q3遇到那种死活听不懂无法理解的难点你会怎么处理","Q3：遇到那种死活听不懂、无法理解的难点，你会怎么处理？",[181,910],"遇到难的知识点时，我会去找对应的例题，找出这个知识点在题目中发挥的作用，辅助我理解概念. （如静电平衡，光听课可能会很懵，但做题看解析时，你会发现它和静摩擦力有点类似，都是在物体已有受力（电场）的基础上，提供一个力（电场）使合力（合电场）为零） 若是实在是无法理解，一定要及时找老师咨询，解决困惑。",{"id":929,"title":930,"titles":931,"content":932,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-experience#q4你对错题本的整理有什么具体建议吗","Q4：你对错题本的整理有什么具体建议吗？",[181,910],"关于错题本，我觉得做题思路绝对是比答案重要的。你永远不会在高考中遇到相同的题，有了思路你才可能解决它们。（Just like 地理、语文主观题，你必须要学会的是分析题设，学会通过题干组织出答题的思路框架，而不是背下典型例题，仿着模版照猫画虎答空话。） 因此一次有效的错题整理不仅需要有题目、答案，还要写上想出答案的思路（最好自己捋一遍，包括答案在内都不要照抄参考答案），必要的话可以写上做错的原因及改正措施（自地理老师建议）。 此外，错题题目不一定要手抄，可以把它裁下来（可以找老师要题目纸），也可以用自备的错题打印机。",{"id":934,"title":935,"titles":936,"content":937,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-experience#q5你的每日学习日程是怎么规划的","Q5：你的每日学习日程是怎么规划的？",[181,910],"关于日程，有点尴尬，我每天是没有固定计划行程的，但做计划一定会提高你的学习效率（不会像我一样每天都是不理想的任务完成状态咕嘎）。",{"id":939,"title":940,"titles":941,"content":942,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-experience#q6学习感到疲惫或者压力大的时候你会做什么","Q6：学习感到疲惫或者压力大的时候，你会做什么？",[181,910],"当我感觉略微疲惫时，我会唱歌嗯对，给自己一点放松时间，一切都会好起来的。（小声） （今天，明天，期待每天，不需要永远～）",{"id":944,"title":945,"titles":946,"content":947,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-experience#q7你是如何保持长期的学习驱动力的","Q7：你是如何保持长期的学习驱动力的？",[181,910],"关于学习动机，你可以试着找到学科的乐趣。兴趣是最强大的驱动力，任何有趣的事物都可以被轻松理解的（嗯对）。 （其实排列组合真的很有意思，圆锥曲线也有趣极了，给到夯）",{"id":949,"title":950,"titles":951,"content":952,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-experience#q8如果考试失利了你会如何调节心态并进行复盘","Q8：如果考试失利了，你会如何调节心态并进行复盘？",[181,910],"关于考试失利，我觉得这是正常的，没有人可以每次考试都保持在相同的名次。此外，目前学习的只是高中的冰山一角，还不能反映出你真正的实力和定位，一切都还来得及。 不过考试失利也能反映出你在目前学习中存在的一些问题，及时处理可以避免以后再掉进相似的陷阱里。 （例如通过考试反复发现碱性环境中是不会生成二氧化碳的—— CO2+2OH−=CO32−+H2OCO_2 + 2OH^- \\xlongequal{\\quad} CO_3^{2-} + H_2OCO2​+2OH−CO32−​+H2​O ，二氧化碳会和氢氧根反应！）",{"id":954,"title":955,"titles":956,"content":957,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-experience#q9你会用到什么课外资源或辅助工具来帮助学习吗","Q9：你会用到什么课外资源或辅助工具来帮助学习吗？",[181,910],"在家利用好学习辅助也是很有用的，例如在B站上找课看（强推一数嗯对）、利用AI即时询问一周中的困惑（如问什么矩阵，如何把函数定义域拓展到复数领域）。 此外我们学校教室电脑是开放AI的，课间可以自由使用",{"id":186,"title":185,"titles":959,"content":960,"level":233},[],"一位理科同学分享了数学提前预习、分科轮流安排日程的经验，以及如何借助B站网课实现成绩提升，强调独立思考比死记硬背更重要。 一位理科同学分享了她在预习复习、日程安排以及学习工具方面的心得。 顺便一提，B站真的是很好的学习资源喵~",{"id":962,"title":910,"titles":963,"content":238,"level":239},"\u002Fguide\u002Fstudy\u002Fexperience-002#qa",[185],{"id":965,"title":966,"titles":967,"content":968,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-002#q1平时是怎么对待复习预习错题的","Q1：平时是怎么对待复习、预习、错题的？",[185,910],"预习主要是数学会提前学，先理解一下概念，做点简单的题。学第二遍的时候就能更好跟上老师的节奏了。 复习主要是历政地，晚自习下课后背书，或者周末整理一下笔记，就当加强理解了。",{"id":970,"title":971,"titles":972,"content":973,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-002#q2一天的学习日程安排如何","Q2：一天的学习日程安排如何？",[185,910],"我不会一天就专攻一两个学科，一般每个学科不超过一个小时，针对弱点来——可能是背诵，也可能是复习错题。",{"id":975,"title":976,"titles":977,"content":978,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-002#q3对学习环境有什么要求容易受到外界干扰吗","Q3：对学习环境有什么要求？容易受到外界干扰吗？",[185,910],"我比较容易受到外界干扰，所以比较喜欢一个人的安静环境。",{"id":980,"title":981,"titles":982,"content":983,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-002#q4如何看待学业的一时失利","Q4：如何看待学业的一时失利？",[185,910],"经过中考打击后，接受失败的能力强了很多。而且知道了自己其实可以做到很好的时候，面对失利就可以专注于这次失败的原因了。",{"id":985,"title":986,"titles":987,"content":988,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-002#q5会如何利用学习工具","Q5：会如何利用学习工具？",[185,910],"我用B站学习真的很多。升初三暑假那年就是靠B站网课把学习成绩提上来的。当然，光听转头就忘了，所以一定要记笔记，而且知识点学完后也要找题自己做。",{"id":990,"title":991,"titles":992,"content":993,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-002#q6可以给出一些学习建议吗","Q6：可以给出一些学习建议吗？",[185,910],"要多思考，不要给什么就死记硬背下来——特别是学文科。要提前于老师的脚步，这样不仅学起来自信心更强，而且再学的时候也能有新的收获，比如发现自己与老师理解的差异，然后慢慢学会抓住知识点的重难点。",{"id":995,"title":996,"titles":997,"content":998,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-002#q7关于各科学习","Q7：关于各科学习",[185,910],"语文：主要是上课听老师讲解，讲完后下课可以自己快速回顾一下讲过内容。如果是文言文可以准备一个专门的积累笔记本。作文和阅读主要还是靠多读书积累，如果有时间可以下午抽出半小时到一小时阅读课外书。 历政地：在熟背的基础上一定要重视题目。有些只有在试题中出现的高频表达也要背诵积累，渐渐的就可以把思考转化为学科语言了。",{"id":190,"title":189,"titles":1000,"content":1001,"level":233},[],"黄大为同学分享了利用AI优化英语作文、丰富文科素材库的实践方法，以及通过大量阅读严肃文学与学术专著实现文科学习的降维打击。 黄大为同学分享了他在学习工具运用和课外拓展方面的心得，尤其强调了AI在文科学习中的价值。 平时一般不咋学语文，但坚持阅读。",{"id":1003,"title":1004,"titles":1005,"content":1006,"level":239},"\u002Fguide\u002Fstudy\u002Fexperience-003#关于学习工具的运用","关于学习工具的运用",[189],"我会在家里较频繁地使用AI，尤其在文科学习中多用AI。主要使用场景有：",{"id":1008,"title":1009,"titles":1010,"content":1011,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-003#英语学科","英语学科",[189,1004],"利用AI优化作文，提供应试优质语料，进行词汇造句与举一反三、积累同类词。这一点上，AI几乎完全满足学习需求，能有效地提升学习品质。",{"id":1013,"title":1014,"titles":1015,"content":1016,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-003#文科小科","文科小科",[189,1004],"利用AI丰富素材库，比如历史学科中分析了解某一具体事件，通过人机对话提问来深化理解和认知。这一点侧重于课外拓展，提升效率也较有效。",{"id":1018,"title":1019,"titles":1020,"content":1021,"level":239},"\u002Fguide\u002Fstudy\u002Fexperience-003#关于课外拓展","关于课外拓展",[189],"以超额课外拓展提升学业能力。比如语文大量集中长期阅读严肃文学著作，历史读学术专著，实现降维打击，让学业能力发生质变。",{"id":194,"title":193,"titles":1023,"content":1024,"level":233},[],"氯化钾同学作为史政地选手，详细分享了基于遗忘曲线的复习方法、一周计划制定策略、各科具体学法与心态调节，并附上一段真诚的寄语。 氯化钾同学（化名）是一位选考史政地的同学，她非常详细地分享了自己在复习预习、日程安排、学习心态以及各科学习方法上的经验。 最后还有一段写给学弟学妹的真诚寄语，不要错过喵~",{"id":1026,"title":910,"titles":1027,"content":238,"level":239},"\u002Fguide\u002Fstudy\u002Fexperience-004#qa",[193],{"id":1029,"title":966,"titles":1030,"content":1031,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-004#q1平时是怎么对待复习预习错题的",[193,910],"众所周知，复习和预习以及错题是非常重要的…… 首先关于复习，相信你也知道遗忘曲线——学习一个新知识后的 20 个小时必须复习一次，接着三天复习一次，一周复习一次，一个月复习一次。当你复习了四次之后，不仅可以减轻段考之前女娲补天的压力，还可以让知识记忆变得像 1+1=2 一样牢固。 预习是学习的先导。假如你在假期看到了这则消息，那么恭喜你，你已经赢在了起跑线上！预习包括看书和做题——先自己看课本，遇到不理解的地方可以询问 AI 或者上 B 站找免费网课，再把课本上的习题处理一下（比较基础），有能力的同学可以适当找一些辅导书进行深度预习。但预习只是帮助你在课堂上更高效地听课并完成课堂任务，并不代表你可以不听讲。 错题也是一个大块。建议平时看，订错题不可以抄答案，订完要多次翻阅（跟复习的时间安排同理），否则考前……",{"id":1033,"title":971,"titles":1034,"content":1035,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-004#q2一天的学习日程安排如何",[193,910],"虽然我是J人，但我的计划通常较为笼统，并不是那么井井有条，因为我比较讨厌计划的条条框框给人主观能动性带来的限制。但是大方向必须有——举个例子，今天背多少个英语单词、学习巩固什么语法点、看多少道错题、大约在什么时间完成。 我更倾向于制定一周的计划。计划要合适，以周为时间节点就很好——你要完成哪些背诵任务、写多少题目、具体是哪个知识点哪一课的……形成自己的习惯才是最好的。",{"id":1037,"title":976,"titles":1038,"content":1039,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-004#q3对学习环境有什么要求容易受到外界干扰吗",[193,910],"看情况。写理科题目和背诵必须安静。整理文科笔记倒是无所谓。我会过滤掉噪音，但是耳朵说很吵欸……写无脑作业（抄写默写之类的）我会听歌，但要动脑子的话纯音乐都会扰乱我。",{"id":1041,"title":981,"titles":1042,"content":1043,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-004#q4如何看待学业的一时失利",[193,910],"一开始肯定很在意，因为太想进步了。但经历多一些起落——明白人外有人，懂得物极必反，知道事物是螺旋式上升前进的——重点是自己要领悟，才能看开。 很多时候一些同学发现自己没考好就很沮丧，下定决心要努力了，结果过几天又打回原形，只是因为成绩心情不好，却没有真正反思原因；或者已经找到原因，却不想解决，认为自己还有退路…… 一次失利就像是学习这棵大树上的一颗无实花——它并不是没有根基的，虽然没有结果，但是作为一次探索、一次警示，需要好好把握，收拾心情，再次向阳生长。",{"id":1045,"title":986,"titles":1046,"content":1047,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-004#q5会如何利用学习工具",[193,910],"B站，各种 AI 用于答疑。感觉在这个时代工具太多了……你们大概率比我玩得溜哈哈哈。",{"id":1049,"title":1050,"titles":1051,"content":1052,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-004#q6关于管控手机和劳逸结合","Q6：关于管控手机和劳逸结合",[193,910],"把手机锁起来并且将钥匙放到离你书桌最远的地方（亲测有效）。劳逸结合很重要，脑子和眼睛都需要放松。",{"id":1054,"title":1055,"titles":1056,"content":1057,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-004#q7各科学习方法","Q7：各科学习方法",[193,910],"语文：大量的阅读积累是前提。读完一本书可以尝试写个书评，很好提高概括内容、品鉴文本和组织语言的能力。议论文素材积累，多看时政评论，多看范文，找题目自己去分析写作思路，再适当练手组织语言。语文要刷题但要精准不要多，一篇文本可以反复利用，自己出题自己写答案。文言文一定要积累文言实词虚词的意思，至少课本里的要混个眼熟。 历史：你喜欢历史吗？历史题的分析是很有逻辑的，而且是小切口大历史。学历史没有太多窍门，第一是喜欢。 政治：多看时政评论，看看人家外交官和记者是怎么表达的。背诵是每天的必修课。建议找个笔记本把每一课知识点框架梳理一下，并且把易错点和概念的例子都记下来。 地理：把典型题上错题本并且时常翻阅，包括一些知识框架简直就是答题必背。文科这三门课都要有兴趣，其次要学会转化所学知识——如何把课外的联系到课内的，如何从一个时间还原到一个事件一个时代，如何从一个地名联想到这个地方所有的自然和人文特征。答题上，使用专业术语，联系材料和知识点，不要假大空。 最重要的：舍得花时间，特别是数学——这门拉分多大亲身体会……",{"id":1059,"title":1060,"titles":1061,"content":1062,"level":239},"\u002Fguide\u002Fstudy\u002Fexperience-004#寄语","寄语",[193],"是不是应该给大家一点鼓励呢？那就把自己决定选文的时候的心得分享出来吧： \"祝你站在峥嵘长青的世界里，观风起，热忱不熄。\" 高一上学期就是在冬末春初结束的。我经历过狂喜、欣慰和满足，也感受过迷茫、失落和怅惘。我时常困于自己平庸的天资，却又不信命运地跌倒后再奔跑。感谢这一路走来老师朋友的陪伴与托举，他们给予我的教诲和拥抱，让我从中获得从头再来的胆量和勇气。 关于梦想，没有太多左顾右盼的矛盾，选择做人文的真实信徒，永远感动于笔尖流出的文字，永远感叹历史的兴衰无常，永远与时代同频为每一个卑微平凡但闪耀着生命之光的人们落泪。张载的那句\"为天地立心，为生民立命，为往圣继绝学，为万世开太平\"可能会影响一代又一代的文科生。 无论怎样，请我一定自信、坚强、铮铮、昂扬。要做一株大雪压不垮的冬小麦，也要永远向河流的上游寻找。 在这里也给史政地打个广告：你能看见多久远的过去，你就能看到多遥远的未来。 我们一起努力，好吗？",{"id":198,"title":197,"titles":1064,"content":1065,"level":233},[],"一位文科同学坦诚分享了学习中理想与拖延的拉扯、B站自学资源推荐，以及\"做思想和行动上的巨人\"的自我期许与反思。 一位文科同学坦诚地分享了自己在学习中的真实状态——有理想也有拖延，有反思也有困惑，非常接地气。 \"提高行动力，做思想和行动上的巨人\"——这也是他给自己的建议。",{"id":1067,"title":910,"titles":1068,"content":238,"level":239},"\u002Fguide\u002Fstudy\u002Fexperience-005#qa",[197],{"id":1070,"title":966,"titles":1071,"content":1072,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-005#q1平时是怎么对待复习预习错题的",[197,910],"我觉得复习、预习和错题都蛮重要的。在理想情况下，每科基本都会去提前预习、课后复习，但这种理想状态总是断断续续的，可能还是自律性比较差吧。至于错题，主要是看数学的错题，其他学科自己觉得没必要看也懒得看。",{"id":1074,"title":971,"titles":1075,"content":1076,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-005#q2一天的学习日程安排如何",[197,910],"学习日程主要是把每天要做的列出来，但没有写必须要在哪个时段完成哪个任务。一般完成率在 70%-95% 左右吧，因为有时候会幻想自己能做完，但实际上行动力没那么强。",{"id":1078,"title":976,"titles":1079,"content":1080,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-005#q3对学习环境有什么要求容易受到外界干扰吗",[197,910],"我对学习环境的要求应该不算很高，嘈杂一点什么的也不太会影响自己。但假期的时候，手机对我学习规划按时完成的影响还是蛮大的，有时候就是控制不住自己。",{"id":1082,"title":981,"titles":1083,"content":1084,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-005#q4如何看待学业的一时失利",[197,910],"我认为一时失利还是蛮正常的。可能是因为我在初中就习惯了一直起起伏伏，经常好一次差一次，到了高中会好一点但还是不太稳定。有时候也会因此而苦恼，但苦恼的不是失利本身，而是自己失利的原因总是似曾相识——不是平时太懒了就是考试过程中紧张了，或是二者的叠加态。还是很想克服这些因素的，但好像大多都停留在\"想\"这个层面。",{"id":1086,"title":986,"titles":1087,"content":1088,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-005#q5会如何利用学习工具",[197,910],"因为我没有上任何补习班，所以时间相对而言比较充裕。我主要的学习工具就是 B 站——比如数学就看一数，英语还买了一英的必刷 100 讲。总的来说一系列的东西都蛮实用的。",{"id":1090,"title":1091,"titles":1092,"content":1093,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-005#q6关于各科学习","Q6：关于各科学习",[197,910],"语文：之前主要是课上听课记笔记然后利用早读背背书，但发现这种方法没办法使语文成绩有个很大的飞跃，因为给语文的时间太少了。暑假打算每天分板块刷点题，增加阅读量，把这学期的作文都重写一遍。 历史政治：主要是课前预习和课后背书，感觉刷题在这个阶段用处不大。 地理：平时看一看贺美利的笔记，暑假想把选必一先提前学一学，因为感觉难度比较大。",{"id":1095,"title":1096,"titles":1097,"content":1098,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-005#q7可以给出一些学习建议吗","Q7：可以给出一些学习建议吗？",[197,910],"因为自己成绩也不算特别拔尖，所以也给不到什么好的建议。如果一定要说的话就是——提高行动力，做思想和行动上的巨人。这也算是给我自己的一个建议。",{"id":202,"title":201,"titles":1100,"content":1101,"level":233},[],"一位随性同学坦率表示自己没有固定的学习方法和详细计划，保持自己的节奏也是一种真实的学习姿态，同时推荐教辅用书辅助自学。 这位同学的回答非常简短随性。也许不是每个人都有固定的学习方法和详细计划，但坦诚面对自己的状态，也是一种真实的态度喵~ 每个人都有自己的节奏，不必强求和别人一样。",{"id":1103,"title":910,"titles":1104,"content":238,"level":239},"\u002Fguide\u002Fstudy\u002Fexperience-006#qa",[201],{"id":1106,"title":966,"titles":1107,"content":1108,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-006#q1平时是怎么对待复习预习错题的",[201,910],"好像都没有。",{"id":1110,"title":971,"titles":1111,"content":1112,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-006#q2一天的学习日程安排如何",[201,910],"也没有，我比较随性。",{"id":1114,"title":976,"titles":1115,"content":1116,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-006#q3对学习环境有什么要求容易受到外界干扰吗",[201,910],"其实不会太大影响。但如果可以的话，我会选一个舒适一点、安静整洁一点的学习环境。",{"id":1118,"title":981,"titles":1119,"content":1120,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-006#q4如何看待学业的一时失利",[201,910],"只是一时的。",{"id":1122,"title":986,"titles":1123,"content":1124,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-006#q5会如何利用学习工具",[201,910],"可能会用教辅书，上课没听就用来自学。",{"id":206,"title":205,"titles":1126,"content":1127,"level":233},[],"一位学姐分享了分阶段复习规划、应试心态的培养方法，以及利用豆包AI工具解决学习中疑难杂症的实用经验，强调应试素养是学生素养的重要部分。 一位学姐分享了她关于复习规划、考试心态以及利用 AI 工具学习的经验。 应试素养确实是学生素养很重要的一部分——这是她最想传达的观点。",{"id":1129,"title":910,"titles":1130,"content":238,"level":239},"\u002Fguide\u002Fstudy\u002Fexperience-007#qa",[205],{"id":1132,"title":966,"titles":1133,"content":1134,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-007#q1平时是怎么对待复习预习错题的",[205,910],"复习的话一般会规划一下。提前两三个星期先过一下基础知识，然后找薄弱点，后面就尽量找点题来练手感。 预习的话，每个科目不一样，主要是数理化。如果寒假暑假没有预习就提前看一下书，难的板块预习一下，简单的也懒得管。 错题的话有错题本，主要就是数理化要整理，有时间拿出来重新做一下。",{"id":1136,"title":971,"titles":1137,"content":1138,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-007#q2一天的学习日程安排如何",[205,910],"根据不同阶段有不同的规划吧。主要是语文、英语这种需要积累的科目要日常落实。",{"id":1140,"title":1141,"titles":1142,"content":1143,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-007#q3如何看待学业的一时失利","Q3：如何看待学业的一时失利？",[205,910],"一时失利的话，我还是挺难受的。但我也不是很看重分数，我主要是很看重自己的努力和分数成不成正比。",{"id":1145,"title":1146,"titles":1147,"content":1148,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-007#q4会如何利用学习工具","Q4：会如何利用学习工具？",[205,910],"我觉得豆包太好用了，有什么问题都可以问豆包。比如作业没解析就可以问豆包。有的时候那种自己个人很纠结的点，不好意思问老师，也可以一直缠着豆包问。",{"id":1150,"title":1151,"titles":1152,"content":1153,"level":250},"\u002Fguide\u002Fstudy\u002Fexperience-007#q5可以给出一些学习建议吗","Q5：可以给出一些学习建议吗？",[205,910],"我觉得就我个人而言，还是培养一下心态吧，研究一下要怎么保持好的应试状态。应试素养确实是学生素养很重要的一部分。",{"id":210,"title":209,"titles":1155,"content":1156,"level":233},[],"Hardy同学所写的关于学科的个人评价 闲来无事，忽然有一计：要是我锐评以下学科的各个内容，会不会很有意思 于是这篇文章诞生了=) 此处划分了一到五星★作为知识点难度评价，分别代表无脑简单、基础但不无脑、一般难度、有挑战性、难五个等级。 本篇内容可能不是完整版，且带有很强的主观性，若你有异议，以你为准",{"id":1158,"title":1159,"titles":1160,"content":1161,"level":239},"\u002Fguide\u002Fstudy\u002Fhardy-math#数学学科高一部分锐评","数学学科高一部分锐评",[209],"数学好的人物理不会差，物理好的人化学不会差，化学好的人生物不会差，生物好的人地理不会差，地理好的人政治不会差，政治好的人历史不会差，历史好的人语文不会差，语文好的人英语不会差",{"id":1163,"title":1164,"titles":1165,"content":1166,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-math#必修一-第一章-集合与常用逻辑用语","必修一 · 第一章 集合与常用逻辑用语 ★",[209,1159],"内容评级集合的概念及相关性质★集合的关系及运算★常见集合★常用常用逻辑用语★★ （一般这个时候会顺便把函数那一章才会提及的区间表示也讲了） 集合的内容真的非常简单，随便让任何一个初中生来学都能学会（好像就是给初中生学的） 但这里是高中数学，所以经常有一些细节方面需要注意，例如空集∅\\varnothing∅是任何集合的子集，所以求参时要记得考虑空集∅\\varnothing∅的情况 常用逻辑用语有充分条件与必要条件、全称量词与存在量词，刚开始学习时可能会很绕难以理解 题型方面，一般会在其它知识点里作为基础知识出现。\n一般不出压轴题，但如果出了，要多难有多难，等高一第一次段考就知道了【惊】\n不排除以后会在数列题里复刻【悲】",{"id":1168,"title":1169,"titles":1170,"content":1171,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-math#必修一-第二章-一元二次函数方程和不等式","必修一 · 第二章 一元二次函数、方程和不等式 ★★★★",[209,1159],"内容评级一元二次、分式及简单高次不等式★★一元二次方程与二次函数★★★基本不等式★★★★不等式的证明★★ 这一章的内容学不学的好，决定了后续你对与计算、求最值板块的能力 一般初高衔接会涉及到解一元二次、分式及简单高次不等式，注意分母不为零，较为简单 关于二次函数，高中会频繁用它来求最值、取值范围，在函数一章更是重中之重，需熟练掌握，其难度属于高中数学的一般难度 基本不等式是一个巨头，会频繁出现在各种题目中。放在小题单独考察时可以非常难，被誉为基本不懂式 【夹带私货找道题看看 a,b,c>0且a2+2ab+2ac+4bc=12a^2+2ab+2ac+4bc=12a2+2ab+2ac+4bc=12，求a+b+ca+b+ca+b+c的最小值 此题不难，你稍微因式分解一下得到(a+2c)(a+2b)=12然后注意到(a+2c)(a+2b)≤(a+2c+a+2b)24=(a+2c+a+2b)2(a+2c)(a+2b) \\le \\dfrac{(a+2c+a+2b)^2}{4}=(a+2c+a+2b)^2(a+2c)(a+2b)≤4(a+2c+a+2b)2​=(a+2c+a+2b)2所以a+b+c≥23a+b+c \\ge 2\\sqrt{3}a+b+c≥23​，当且仅当a+2c=a+2b时取等 多做几类基本不等式的题目，记下解题思路方法，找一找手感，相信你也可以成为基本不等式大肘子 以及细节方面，一定要记得写出取等条件，注意可不可以取等，如果取不了等，那这道题可能要用函数分析求最值 题型方面，大题一般不会直接考察，而是会综合其它知识点出现（如函数），需要一点思维",{"id":1173,"title":1174,"titles":1175,"content":1176,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-math#必修一-第三章-函数的概念与性质","必修一 · 第三章 函数的概念与性质 ★★★★★",[209,1159],"内容评级函数的概念及基本性质★★★分段函数★★★分式函数★★★对勾函数★★★双刀函数★★幂函数★★★复合函数★★★★ 本章的概念不难理解，但是真正做起题来又是另一种模样，说是整个高一最难的板块也不为过 函数的基本性质包括定义域、值域、单调性、奇偶性、对称性、周期性等等 分段函数重点是要画出图像，分式函数要会画图，这都属于高中数学的基本操作 幂函数和下一章的指数对数函数是一块的，都要熟练掌握不同系数下的图像、值域、单调性及运算性质 复合函数属于复杂函数这一块，解题参考下方思路 函数这一章题型非常多，包括但不限于求值、求参、求最值、求范围、分析零点、高级比较大小、复杂函数分析、抽象函数分析等等等等，\n只要你吃透定义域、值域、单调性、奇偶性、对称性、周期性等函数性质，就可以搞定高考约80%的函数题目，另外约15%则是导数的事，至于剩下5%，那就是压轴考思维随缘写吧（） 不同题型也有不同针对性的思路和技巧，如复杂函数分析要点是换元，将内层函数换成简单变量t，此时t的范围就是外层的定义域，同时也是内层的值域，抽丝剥茧，最后化成简单函数QED 来题来题：f(x)=2ex+12e2f(x)=2e^x+\\dfrac{1}{2e^2}f(x)=2ex+2e21​，求x∈[0,+∞)x\\in[0,+\\infty)x∈[0,+∞)时f(x)f(x)f(x)的最小值 换元，令t=2e22e^22e2，则在x∈[0,+∞)x\\in[0,+\\infty)x∈[0,+∞)时，t∈[2,+∞)t\\in[2,+\\infty)t∈[2,+∞)，此时f(x)=t+1tf(x)=t+\\dfrac{1}{t}f(x)=t+t1​，变成了简单的对勾函数问题你可能非常想用基本不等式（我也想用），但注意，取等条件是t=1tt=\\dfrac{1}{t}t=t1​即t=1t=1t=1不在范围内，所以不能用基本不等式求最值注意到f(x)在t∈[2,+∞)t\\in[2,+\\infty)t∈[2,+∞)时单调递增，所以f(x)f(x)f(x)的最小值在t=2t=2t=2时取到，即f(x)min=2+12=2.5f(x)_{min}=2+\\dfrac{1}{2}=2.5f(x)min​=2+21​=2.5 顺带说说抽象函数，它的要点是赋值，其解题过程会非常有趣，抓住对称性、周期性、奇偶性会对做题很有帮助 题目暂缺咕嘎",{"id":1178,"title":1179,"titles":1180,"content":1181,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-math#必修一-第四章-指数函数与对数函数","必修一 · 第四章 指数函数与对数函数 ★★★",[209,1159],"内容评级指数领域的扩充★★指数函数★★★对数及其运算★★★对数函数★★★ 这一章知识点和上一章的幂函数我认为主要是对计算和函数类型的扩充，初步接触可能会有点难以理解 题型主要是函数题型的扩充及让你的应用题更难一点（） 同样的，掌握定义域、值域、单调性、奇偶性、对称性、周期性等函数性质，你就掌握了指对幂函数 此外从这一章开始你会遇到特别恐怖的比大小 题来：已知a=log⁡1312a=\\log_{\\frac{1}{3} } \\frac{1}{2}a=log31​​21​，b=log⁡1223b=\\log_{\\frac{1}{2} } \\frac{2}{3}b=log21​​32​，c=log⁡343c=\\log_{3} \\frac{4}{3}c=log3​34​，则（） A.a\u003Cb\u003Cc B.c\u003Cb\u003Ca C.b\u003Ca\u003Cc D.b\u003Cc\u003Ca 可以先将底数中的分数化成整数，a=log⁡32a=\\log_{3} 2a=log3​2，b=log⁡232b=\\log_{2} \\frac{3}{2}b=log2​23​从关系明显的数下手，如a,c底数相同，由对数函数f(x)=log3xf(x)=log_3 xf(x)=log3​x是增函数可得a>c，排除掉AC若是无从下手了，可以试试和具体值进行比较，注意到a,b,c都小于1，所以我们选12\\dfrac{1}{2}21​进行比较，接着你会惊喜地发现c\u003C12\\dfrac{1}{2}21​\u003Cb，然后选出B完事",{"id":1183,"title":1184,"titles":1185,"content":1186,"level":250},"\u002Fguide\u002Fstudy\u002Fhardy-math#必修一-第五章-三角函数","必修一 · 第五章 三角函数 ★★★★",[209,1159],"内容评级弧度制★任意角三角函数★三角函数的若干公式★★★★三角恒等变换★★★★★三角函数的图像★★★★★ 弧度制非常简单，你只需要记住180度等于π\\piπ，1度等于π180\\frac{\\pi}{180}180π​就可以了【搞定】 任意角三角函数也很好理解，你就当作是把三角函数的定义域从(0,2\\pi)扩展到(−∞-\\infty−∞,+∞+\\infty+∞)即可 三角函数的公式一定要背，不然遇上三角函数的题一定会寄，记住常用公式即可解决题目，全背有助于简化计算提供思路助你解题，此处先罗列了一些常用公式（诱导公式比较多，此处暂时只写了口诀，并且没有正切公式）： 名称公式诱导公式奇变偶不变符号看象限和\u002F差角公式sin(a±b)=sinacosb±cosasinbsin(a\\pm b)=sin a cos b\\pm cos a sin bsin(a±b)=sinacosb±cosasinb、cos(a±b)=cosacosb∓sinasinbcos(a\\pm b)=cos a cos b\\mp sin a sin bcos(a±b)=cosacosb∓sinasinb二倍角公式sin(2a)=2sinacosasin(2a)=2sin a cos asin(2a)=2sinacosa、cos(2a)=cos2a−sin2a=2cos2a−1=1−2sin2acos(2a)=cos^2 a-sin^2 a=2cos^2 a-1=1-2sin^2 acos(2a)=cos2a−sin2a=2cos2a−1=1−2sin2a辅助角公式asinx+bcosx=a2+b2sin(x+ϕ)a sin x+b cos x=\\sqrt{a^2+b^2}sin(x+\\phi)asinx+bcosx=a2+b2​sin(x+ϕ) （tanϕ=batan\\phi=\\frac{b}{a}tanϕ=ab​） 三角恒等变换变换比较难，但是常常作为嘉宾出现在函数题里让你化简，多做题找感觉熟能生巧，你也可以掌握 三角函数的图像主要是联系函数板块内容，让你的函数题型再多一种（） Congratulations，你完成了必修一的学习，恭喜你学完了所有基本函数，你已经可以开始学习导数了【认真】",{"id":215,"title":219,"titles":1188,"content":1189,"level":233},[],"如果你很好奇我们这群人的话...",{"id":1191,"title":1192,"titles":1193,"content":1194,"level":250},"\u002Fguide\u002Fabout#名字的由来","名字的由来",[219],"My SDFZ My：代表一种归属感。这不只是一个冷冰冰的信息库，它是属于每一个深附人的个性化生存指南。SDFZ：深大附中的缩写，我们共同的坐标。Logo里面的ℤ：在数学中，ℤ代表整数集。它包含正数、负数和零，正如我们的校园生活——有奋斗的汗水，有吐槽的苦涩，也有平凡日子的零碎。我们希望这个网站能像整数集一样，包罗万象，逻辑严密。",{"id":1196,"title":1197,"titles":1198,"content":1199,"level":250},"\u002Fguide\u002Fabout#为什么要做这个项目","为什么要做这个项目？",[219],"学校的新生手册固然权威，也涵盖了大部分你需要了解的信息。但是很遗憾，它不能告诉你默认套餐不太好吃，学校里的生活具体是怎么样的。 而当时的我们，正如你一样，非常好奇这些问题却很难在网上找到答案。正是因为淋过雨，所以我们非常想要给你打一把伞。",{"id":1201,"title":1202,"titles":1203,"content":238,"level":250},"\u002Fguide\u002Fabout#开发人员","开发人员",[219],{"id":222,"title":221,"titles":1205,"content":1206,"level":233},[],"反馈问题或联系我们的方式 如果在使用时有什么问题\u002F建议\u002F意见\u002F反馈...请联系我们。 我们期待听到你的声音。 邮件：contact@mysdfz.com问卷：飞书问卷",{"id":226,"title":225,"titles":1208,"content":1209,"level":233},[],"记录本站的每一次更新与改进。",{"id":6,"title":10,"titles":1211,"content":1212,"level":233},[],"欢迎来到My SDFZ！请从这里开始~",{"id":1214,"title":1215,"titles":1216,"content":1217,"level":239},"\u002Fguide#欢迎来到my-sdfz","欢迎来到My SDFZ",[10],"My SDFZ是一个 非官方 的深大附中高中部生存指南。 官方的《新生手册》足够严谨，但也许无法囊括最真实的住宿体验、干饭路线、社团活动等细节。而本站希望能以更轻松的方式，助力新生们快速适应深大附中的生活。 不过，如果你想要最官方、最权威的资讯，请前往深大附中官网，本站不保证所有内容的准确性和时效性。 无论你是正在抉择志愿填报的初三学生，还是已经进入深大附中的新生，或是想要回顾高中生活的学长学姐们，不妨在这里转转。",{"id":1219,"title":1220,"titles":1221,"content":1222,"level":250},"\u002Fguide#快速导航","快速导航",[10,1215],"如果你是第一次来到本站，强烈建议你先从写给你们的一封信开始阅读。 如果你已经读过了那封信，或者想要直接进入某个主题，可以根据目前你最关心的话题选择下面的链接 报考相关：如果你正在考虑是否要报考深大附中，或者想要了解有关信息，可以从报考指南开始。吃穿住行：想知道去哪里吃饭，去哪里摸猫？请移步校园概况和日常生活部分。学习与规划：想知道学校的考试安排，或竞赛、社团情况？可以看看学习生活部分",{"id":1224,"title":1225,"titles":1226,"content":1227,"level":250},"\u002Fguide#食用须知","食用须知",[10,1215],"在开始阅读前，请务必了解： 这里不是官方：本站内容均基于主观经验，与校方完全无关，不代表校方立场。学校的最新消息请务必以当时的学校官方通知为准！欢迎捉虫与共写：如果你发现了任何错误，或者想要分享你的经验，请随时联系我们，让这份指南能长久地帮到未来的每一届深附人。 最后，希望我们能帮到你，也希望你能享受阅读的过程！",{"id":1229,"title":209,"authors":1230,"body":1232,"contributors":6830,"created_at":6831,"description":6832,"extension":6833,"meta":6834,"navigation":6840,"path":6841,"permalink":210,"seo":6842,"stem":211,"updated_at":6831,"__hash__":6843},"content\u002Fguide\u002F5.study\u002Flearning-experience\u002F8.hardy-math.md",[1231],"Hardy",{"type":1233,"value":1234,"toc":6821},"minimark",[1235,1239,1242,1245,1251,1254,1259,1263,1313,1316,1319,1400,1403,1406,1409,1451,1454,1457,1460,1467,1470,1761,2412,2415,2418,2421,2424,2485,2488,2491,2494,2497,2500,2507,2510,2882,3867,3870,3875,3878,3918,3921,3924,3930,3933,4639,5276,5279,5327,5463,5536,5539,6810,6813,6816],[1236,1237,1238],"p",{},"闲来无事，忽然有一计：要是我锐评以下学科的各个内容，会不会很有意思",[1236,1240,1241],{},"于是这篇文章诞生了=)",[1236,1243,1244],{},"此处划分了一到五星★作为知识点难度评价，分别代表无脑简单、基础但不无脑、一般难度、有挑战性、难五个等级。",[1246,1247,1248],"caution",{},[1236,1249,1250],{},"本篇内容可能不是完整版，且带有很强的主观性，若你有异议，以你为准",[1252,1253,1159],"h2",{"id":1159},[1255,1256,1257],"blockquote",{},[1236,1258,1161],{},[1260,1261,1164],"h3",{"id":1262},"必修一-第一章-集合与常用逻辑用语",[1264,1265,1266,1279],"table",{},[1267,1268,1269],"thead",{},[1270,1271,1272,1276],"tr",{},[1273,1274,1275],"th",{},"内容",[1273,1277,1278],{},"评级",[1280,1281,1282,1291,1298,1305],"tbody",{},[1270,1283,1284,1288],{},[1285,1286,1287],"td",{},"集合的概念及相关性质",[1285,1289,1290],{},"★",[1270,1292,1293,1296],{},[1285,1294,1295],{},"集合的关系及运算",[1285,1297,1290],{},[1270,1299,1300,1303],{},[1285,1301,1302],{},"常见集合",[1285,1304,1290],{},[1270,1306,1307,1310],{},[1285,1308,1309],{},"常用常用逻辑用语",[1285,1311,1312],{},"★★",[1236,1314,1315],{},"（一般这个时候会顺便把函数那一章才会提及的区间表示也讲了）",[1236,1317,1318],{},"集合的内容真的非常简单，随便让任何一个初中生来学都能学会（好像就是给初中生学的）",[1236,1320,1321,1322,1370,1371,1399],{},"但这里是高中数学，所以经常有一些细节方面需要注意，例如空集",[1323,1324,1327,1351],"span",{"className":1325},[1326],"katex",[1323,1328,1331],{"className":1329},[1330],"katex-mathml",[1332,1333,1335],"math",{"xmlns":1334},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML",[1336,1337,1338,1346],"semantics",{},[1339,1340,1341],"mrow",{},[1342,1343,1345],"mi",{"mathvariant":1344},"normal","∅",[1347,1348,1350],"annotation",{"encoding":1349},"application\u002Fx-tex","\\varnothing",[1323,1352,1356],{"className":1353,"ariaHidden":1355},[1354],"katex-html","true",[1323,1357,1360,1365],{"className":1358},[1359],"base",[1323,1361],{"className":1362,"style":1364},[1363],"strut","height:0.6633em;vertical-align:-0.0817em;",[1323,1366,1345],{"className":1367},[1368,1369],"mord","amsrm","是任何集合的子集，所以求参时要记得考虑空集",[1323,1372,1374,1387],{"className":1373},[1326],[1323,1375,1377],{"className":1376},[1330],[1332,1378,1379],{"xmlns":1334},[1336,1380,1381,1385],{},[1339,1382,1383],{},[1342,1384,1345],{"mathvariant":1344},[1347,1386,1350],{"encoding":1349},[1323,1388,1390],{"className":1389,"ariaHidden":1355},[1354],[1323,1391,1393,1396],{"className":1392},[1359],[1323,1394],{"className":1395,"style":1364},[1363],[1323,1397,1345],{"className":1398},[1368,1369],"的情况",[1236,1401,1402],{},"常用逻辑用语有充分条件与必要条件、全称量词与存在量词，刚开始学习时可能会很绕难以理解",[1236,1404,1405],{},"题型方面，一般会在其它知识点里作为基础知识出现。\n一般不出压轴题，但如果出了，要多难有多难，等高一第一次段考就知道了【惊】\n不排除以后会在数列题里复刻【悲】",[1260,1407,1169],{"id":1408},"必修一-第二章-一元二次函数方程和不等式",[1264,1410,1411,1419],{},[1267,1412,1413],{},[1270,1414,1415,1417],{},[1273,1416,1275],{},[1273,1418,1278],{},[1280,1420,1421,1428,1436,1444],{},[1270,1422,1423,1426],{},[1285,1424,1425],{},"一元二次、分式及简单高次不等式",[1285,1427,1312],{},[1270,1429,1430,1433],{},[1285,1431,1432],{},"一元二次方程与二次函数",[1285,1434,1435],{},"★★★",[1270,1437,1438,1441],{},[1285,1439,1440],{},"基本不等式",[1285,1442,1443],{},"★★★★",[1270,1445,1446,1449],{},[1285,1447,1448],{},"不等式的证明",[1285,1450,1312],{},[1236,1452,1453],{},"这一章的内容学不学的好，决定了后续你对与计算、求最值板块的能力",[1236,1455,1456],{},"一般初高衔接会涉及到解一元二次、分式及简单高次不等式，注意分母不为零，较为简单",[1236,1458,1459],{},"关于二次函数，高中会频繁用它来求最值、取值范围，在函数一章更是重中之重，需熟练掌握，其难度属于高中数学的一般难度",[1236,1461,1462,1463],{},"基本不等式是一个巨头，会频繁出现在各种题目中。放在小题单独考察时可以非常难，被誉为",[1464,1465,1466],"strong",{},"基本不懂式",[1236,1468,1469],{},"【夹带私货找道题看看",[1255,1471,1472],{},[1236,1473,1474,1475,1684,1685,1760],{},"a,b,c>0且",[1323,1476,1478,1535],{"className":1477},[1326],[1323,1479,1481],{"className":1480},[1330],[1332,1482,1483],{"xmlns":1334},[1336,1484,1485,1532],{},[1339,1486,1487,1497,1501,1503,1505,1508,1510,1512,1514,1517,1519,1522,1524,1526,1529],{},[1488,1489,1490,1493],"msup",{},[1342,1491,1492],{},"a",[1494,1495,1496],"mn",{},"2",[1498,1499,1500],"mo",{},"+",[1494,1502,1496],{},[1342,1504,1492],{},[1342,1506,1507],{},"b",[1498,1509,1500],{},[1494,1511,1496],{},[1342,1513,1492],{},[1342,1515,1516],{},"c",[1498,1518,1500],{},[1494,1520,1521],{},"4",[1342,1523,1507],{},[1342,1525,1516],{},[1498,1527,1528],{},"=",[1494,1530,1531],{},"12",[1347,1533,1534],{"encoding":1349},"a^2+2ab+2ac+4bc=12",[1323,1536,1538,1599,1622,1647,1674],{"className":1537,"ariaHidden":1355},[1354],[1323,1539,1541,1545,1587,1592,1596],{"className":1540},[1359],[1323,1542],{"className":1543,"style":1544},[1363],"height:0.8974em;vertical-align:-0.0833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\\le \\dfrac{(a+2c+a+2b)^2}{4}=(a+2c+a+2b)^2",[1323,1892,1894,1917,1948,1972,2136,2157,2178,2196],{"className":1893,"ariaHidden":1355},[1354],[1323,1895,1897,1901,1905,1908,1911,1914],{"className":1896},[1359],[1323,1898],{"className":1899,"style":1900},[1363],"height:1em;vertical-align:-0.25em;",[1323,1902,1796],{"className":1903},[1904],"mopen",[1323,1906,1492],{"className":1907},[1368,1551],[1323,1909],{"className":1910,"style":1591},[1590],[1323,1912,1500],{"className":1913},[1595],[1323,1915],{"className":1916,"style":1591},[1590],[1323,1918,1920,1923,1926,1929,1933,1936,1939,1942,1945],{"className":1919},[1359],[1323,1921],{"className":1922,"style":1900},[1363],[1323,1924,1496],{"className":1925},[1368],[1323,1927,1516],{"className":1928},[1368,1551],[1323,1930,1807],{"className":1931},[1932],"mclose",[1323,1934,1796],{"className":1935},[1904],[1323,1937,1492],{"className":1938},[1368,1551],[1323,1940],{"className":1941,"style":1591},[1590],[1323,1943,1500],{"className":1944},[1595],[1323,1946],{"className":1947,"style":1591},[1590],[1323,1949,1951,1954,1957,1960,1963,1966,1969],{"className":1950},[1359],[1323,1952],{"className":1953,"style":1900},[1363],[1323,1955,1496],{"className":1956},[1368],[1323,1958,1507],{"className":1959},[1368,1551],[1323,1961,1807],{"className":1962},[1932],[1323,1964],{"className":1965,"style":1666},[1590],[1323,1967,1822],{"className":1968},[1670],[1323,1970],{"className":1971,"style":1666},[1590],[1323,1973,1975,1979,2127,2130,2133],{"className":1974},[1359],[1323,1976],{"className":1977,"style":1978},[1363],"height:2.1771em;vertical-align:-0.686em;",[1323,1980,1982,1986,2124],{"className":1981},[1368],[1323,1983],{"className":1984},[1904,1985],"nulldelimiter",[1323,1987,1989],{"className":1988},[1828],[1323,1990,1993,2115],{"className":1991},[1559,1992],"vlist-t2",[1323,1994,1996,2110],{"className":1995},[1563],[1323,1997,2000,2013,2024],{"className":1998,"style":1999},[1567],"height:1.4911em;",[1323,2001,2003,2007],{"style":2002},"top:-2.314em;",[1323,2004],{"className":2005,"style":2006},[1575],"height:3em;",[1323,2008,2010],{"className":2009},[1368],[1323,2011,1521],{"className":2012},[1368],[1323,2014,2016,2019],{"style":2015},"top:-3.23em;",[1323,2017],{"className":2018,"style":2006},[1575],[1323,2020],{"className":2021,"style":2023},[2022],"frac-line","border-bottom-width:0.04em;",[1323,2025,2027,2030],{"style":2026},"top:-3.677em;",[1323,2028],{"className":2029,"style":2006},[1575],[1323,2031,2033,2036,2039,2042,2045,2048,2051,2054,2057,2060,2063,2066,2069,2072,2075,2078,2081],{"className":2032},[1368],[1323,2034,1796],{"className":2035},[1904],[1323,2037,1492],{"className":2038},[1368,1551],[1323,2040],{"className":2041,"style":1591},[1590],[1323,2043,1500],{"className":2044},[1595],[1323,2046],{"className":2047,"style":1591},[1590],[1323,2049,1496],{"className":2050},[1368],[1323,2052,1516],{"className":2053},[1368,1551],[1323,2055],{"className":2056,"style":1591},[1590],[1323,2058,1500],{"className":2059},[1595],[1323,2061],{"className":2062,"style":1591},[1590],[1323,2064,1492],{"className":2065},[1368,1551],[1323,2067],{"className":2068,"style":1591},[1590],[1323,2070,1500],{"className":2071},[1595],[1323,2073],{"className":2074,"style":1591},[1590],[1323,2076,1496],{"className":2077},[1368],[1323,2079,1507],{"className":2080},[1368,1551],[1323,2082,2084,2087],{"className":2083},[1932],[1323,2085,1807],{"className":2086},[1932],[1323,2088,2090],{"className":2089},[1555],[1323,2091,2093],{"className":2092},[1559],[1323,2094,2096],{"className":2095},[1563],[1323,2097,2099],{"className":2098,"style":1568},[1567],[1323,2100,2101,2104],{"style":1571},[1323,2102],{"className":2103,"style":1576},[1575],[1323,2105,2107],{"className":2106},[1580,1581,1582,1583],[1323,2108,1496],{"className":2109},[1368,1583],[1323,2111,2114],{"className":2112},[2113],"vlist-s","​",[1323,2116,2118],{"className":2117},[1563],[1323,2119,2122],{"className":2120,"style":2121},[1567],"height:0.686em;",[1323,2123],{},[1323,2125],{"className":2126},[1932,1985],[1323,2128],{"className":2129,"style":1666},[1590],[1323,2131,1528],{"className":2132},[1670],[1323,2134],{"className":2135,"style":1666},[1590],[1323,2137,2139,2142,2145,2148,2151,2154],{"className":2138},[1359],[1323,2140],{"className":2141,"style":1900},[1363],[1323,2143,1796],{"className":2144},[1904],[1323,2146,1492],{"className":2147},[1368,1551],[1323,2149],{"className":2150,"style":1591},[1590],[1323,2152,1500],{"className":2153},[1595],[1323,2155],{"className":2156,"style":1591},[1590],[1323,2158,2160,2163,2166,2169,2172,2175],{"className":2159},[1359],[1323,2161],{"className":2162,"style":1628},[1363],[1323,2164,1496],{"className":2165},[1368],[1323,2167,1516],{"className":2168},[1368,1551],[1323,2170],{"className":2171,"style":1591},[1590],[1323,2173,1500],{"className":2174},[1595],[1323,2176],{"className":2177,"style":1591},[1590],[1323,2179,2181,2184,2187,2190,2193],{"className":2180},[1359],[1323,2182],{"className":2183,"styl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\\ge 2\\sqrt{3}",[1323,2280,2282,2300,2318,2337],{"className":2281,"ariaHidden":1355},[1354],[1323,2283,2285,2288,2291,2294,2297],{"className":2284},[1359],[1323,2286],{"className":2287,"style":1719},[1363],[1323,2289,1492],{"className":2290},[1368,1551],[1323,2292],{"className":2293,"style":1591},[1590],[1323,2295,1500],{"className":2296},[1595],[1323,2298],{"className":2299,"style":1591},[1590],[1323,2301,2303,2306,2309,2312,2315],{"className":2302},[1359],[1323,2304],{"className":2305,"style":1605},[1363],[1323,2307,1507],{"className":2308},[1368,1551],[1323,2310],{"className":2311,"style":1591},[1590],[1323,2313,1500],{"className":2314},[1595],[1323,2316],{"className":2317,"style":1591},[1590],[1323,2319,2321,2325,2328,2331,2334],{"className":2320},[1359],[1323,2322],{"className":2323,"style":2324},[1363],"height:0.7719em;vertical-align:-0.136em;",[1323,2326,1516],{"className":2327},[1368,1551],[1323,2329],{"className":2330,"style":1666},[1590],[1323,2332,2267],{"className":2333},[1670],[1323,2335],{"className":2336,"style":1666},[1590],[1323,2338,2340,2344,2347],{"className":2339},[1359],[1323,2341],{"className":2342,"style":2343},[1363],"height:1.04em;vertical-align:-0.1328em;",[1323,2345,1496],{"className":2346},[1368],[1323,2348,2351],{"className":2349},[1368,2350],"sqrt",[1323,2352,2354,2402],{"className":2353},[1559,1992],[1323,2355,2357,2399],{"className":2356},[1563],[1323,2358,2361,2376],{"className":2359,"style":2360},[1567],"height:0.9072em;",[1323,2362,2366,2369],{"className":2363,"style":2365},[2364],"svg-align","top:-3em;",[1323,2367],{"className":2368,"style":2006},[1575],[1323,2370,2373],{"className":2371,"style":2372},[1368],"padding-left:0.833em;",[1323,2374,2275],{"className":2375},[1368],[1323,2377,2379,2382],{"style":2378},"top:-2.8672em;",[1323,2380],{"className":2381,"style":2006},[1575],[1323,2383,2387],{"className":2384,"style":2386},[2385],"hide-tail","min-width:0.853em;height:1.08em;",[2388,2389,2395],"svg",{"xmlns":2390,"width":2391,"height":2392,"viewBox":2393,"preserveAspectRatio":2394},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","400em","1.08em","0 0 400000 1080","xMinYMin slice",[2396,2397],"path",{"d":2398},"M95,702\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl0 -0\nc5.3,-9.3,12,-14,20,-14\nH400000v40H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM834 80h400000v40h-400000z",[1323,2400,2114],{"className":2401},[2113],[1323,2403,2405],{"className":2404},[1563],[1323,2406,2409],{"className":2407,"style":2408},[1567],"height:0.1328em;",[1323,2410],{},"，当且仅当a+2c=a+2b时取等",[1236,2413,2414],{},"多做几类基本不等式的题目，记下解题思路方法，找一找手感，相信你也可以成为基本不等式大肘子",[1236,2416,2417],{},"以及细节方面，一定要记得写出取等条件，注意可不可以取等，如果取不了等，那这道题可能要用函数分析求最值",[1236,2419,2420],{},"题型方面，大题一般不会直接考察，而是会综合其它知识点出现（如函数），需要一点思维",[1260,2422,1174],{"id":2423},"必修一-第三章-函数的概念与性质",[1264,2425,2426,2434],{},[1267,2427,2428],{},[1270,2429,2430,2432],{},[1273,2431,1275],{},[1273,2433,1278],{},[1280,2435,2436,2443,2450,2457,2464,2471,2478],{},[1270,2437,2438,2441],{},[1285,2439,2440],{},"函数的概念及基本性质",[1285,2442,1435],{},[1270,2444,2445,2448],{},[1285,2446,2447],{},"分段函数",[1285,2449,1435],{},[1270,2451,2452,2455],{},[1285,2453,2454],{},"分式函数",[1285,2456,1435],{},[1270,2458,2459,2462],{},[1285,2460,2461],{},"对勾函数",[1285,2463,1435],{},[1270,2465,2466,2469],{},[1285,2467,2468],{},"双刀函数",[1285,2470,1312],{},[1270,2472,2473,2476],{},[1285,2474,2475],{},"幂函数",[1285,2477,1435],{},[1270,2479,2480,2483],{},[1285,2481,2482],{},"复合函数",[1285,2484,1443],{},[1236,2486,2487],{},"本章的概念不难理解，但是真正做起题来又是另一种模样，说是整个高一最难的板块也不为过",[1236,2489,2490],{},"函数的基本性质包括定义域、值域、单调性、奇偶性、对称性、周期性等等",[1236,2492,2493],{},"分段函数重点是要画出图像，分式函数要会画图，这都属于高中数学的基本操作",[1236,2495,2496],{},"幂函数和下一章的指数对数函数是一块的，都要熟练掌握不同系数下的图像、值域、单调性及运算性质",[1236,2498,2499],{},"复合函数属于复杂函数这一块，解题参考下方思路",[1236,2501,2502,2503,2506],{},"函数这一章题型非常多，包括但不限于求值、求参、求最值、求范围、分析零点、高级比较大小、复杂函数分析、抽象函数分析等等等等，\n只要你吃透",[1464,2504,2505],{},"定义域、值域、单调性、奇偶性、对称性、周期性","等函数性质，就可以搞定高考约80%的函数题目，另外约15%则是导数的事，至于剩下5%，那就是压轴考思维随缘写吧（）",[1236,2508,2509],{},"不同题型也有不同针对性的思路和技巧，如复杂函数分析要点是换元，将内层函数换成简单变量t，此时t的范围就是外层的定义域，同时也是内层的值域，抽丝剥茧，最后化成简单函数QED",[1255,2511,2512],{},[1236,2513,2514,2515,1684,2751,2837,2838,1760],{},"来题来题：",[1323,2516,2518,2570],{"className":2517},[1326],[1323,2519,2521],{"className":2520},[1330],[1332,2522,2523],{"xmlns":1334},[1336,2524,2525,2567],{},[1339,2526,2527,2530,2532,2535,2537,2539,2541,2548,2550],{},[1342,2528,2529],{},"f",[1498,2531,1796],{"stretchy":1795},[1342,2533,2534],{},"x",[1498,2536,1807],{"stretchy":1795},[1498,2538,1528],{},[1494,2540,1496],{},[1488,2542,2543,2546],{},[1342,2544,2545],{},"e",[1342,2547,2534],{},[1498,2549,1500],{},[1824,2551,2552],{"scriptlevel":1826,"displaystyle":1355},[1828,2553,2554,2557],{},[1494,2555,2556],{},"1",[1339,2558,2559,2561],{},[1494,2560,1496],{},[1488,2562,2563,2565],{},[1342,2564,2545],{},[1494,2566,1496],{},[1347,2568,2569],{"encoding":1349},"f(x)=2e^x+\\dfrac{1}{2e^2}",[1323,2571,2573,2601,2650],{"className":2572,"ariaHidden":1355},[1354],[1323,2574,2576,2579,2583,2586,2589,2592,2595,2598],{"className":2575},[1359],[1323,2577],{"className":2578,"style":1900},[1363],[1323,2580,2529],{"className":2581,"style":2582},[1368,1551],"margin-right:0.1076em;",[1323,2584,1796],{"className":2585},[1904],[1323,2587,2534],{"className":2588},[1368,1551],[1323,2590,1807],{"className":2591},[1932],[1323,2593],{"className":2594,"style":1666},[1590],[1323,2596,1528],{"className":2597},[1670],[1323,2599],{"className":2600,"style":1666},[1590],[1323,2602,2604,2608,2611,2641,2644,2647],{"className":2603},[1359],[1323,2605],{"className":2606,"style":2607},[1363],"height:0.7477em;vertical-align:-0.0833em;",[1323,2609,1496],{"className":2610},[1368],[1323,2612,2614,2617],{"className":2613},[1368],[1323,2615,2545],{"className":2616},[1368,1551],[1323,2618,2620],{"className":2619},[1555],[1323,2621,2623],{"className":2622},[1559],[1323,2624,2626],{"className":2625},[1563],[1323,2627,2630],{"className":2628,"style":2629},[1567],"height:0.6644em;",[1323,2631,2632,2635],{"style":1571},[1323,2633],{"className":2634,"style":1576},[1575],[1323,2636,2638],{"className":2637},[1580,1581,1582,1583],[1323,2639,2534],{"className":2640},[1368,1551,1583],[1323,2642],{"className":2643,"style":1591},[1590],[1323,2645,1500],{"className":2646},[1595],[1323,2648],{"className":2649,"style":1591},[1590],[1323,2651,2653,2657],{"className":2652},[1359],[1323,2654],{"className":2655,"style":2656},[1363],"height:2.0074em;vertical-align:-0.686em;",[1323,2658,2660,2663,2748],{"className":2659},[1368],[1323,2661],{"className":2662},[1904,1985],[1323,2664,2666],{"className":2665},[1828],[1323,2667,2669,2740],{"className":2668},[1559,1992],[1323,2670,2672,2737],{"className":2671},[1563],[1323,2673,2676,2718,2726],{"className":2674,"style":2675},[1567],"height:1.3214em;",[1323,2677,2678,2681],{"style":2002},[1323,2679],{"className":2680,"style":2006},[1575],[1323,2682,2684,2687],{"className":2683},[1368],[1323,2685,1496],{"className":2686},[1368],[1323,2688,2690,2693],{"className":2689},[1368],[1323,2691,2545],{"className":2692},[1368,1551],[1323,2694,2696],{"className":2695},[1555],[1323,2697,2699],{"className":2698},[1559],[1323,2700,2702],{"className":2701},[1563],[1323,2703,2706],{"className":2704,"style":2705},[1567],"height:0.7401em;",[1323,2707,2709,2712],{"style":2708},"top:-2.989em;margin-right:0.05em;",[1323,2710],{"className":2711,"style":1576},[1575],[1323,2713,2715],{"className":2714},[1580,1581,1582,1583],[1323,2716,1496],{"className":2717},[1368,1583],[1323,2719,2720,2723],{"style":2015},[1323,2721],{"className":2722,"style":2006},[1575],[1323,2724],{"className":2725,"style":2023},[2022],[1323,2727,2728,2731],{"style":2026},[1323,2729],{"className":2730,"style":2006},[1575],[1323,2732,2734],{"className":2733},[1368],[1323,2735,2556],{"className":2736},[1368],[1323,2738,2114],{"className":2739},[2113],[1323,2741,2743],{"className":2742},[1563],[1323,2744,2746],{"className":2745,"style":2121},[1567],[1323,2747],{},[1323,2749],{"className":2750},[1932,1985],[1323,2752,2754,2786],{"className":2753},[1326],[1323,2755,2757],{"className":2756},[1330],[1332,2758,2759],{"xmlns":1334},[1336,2760,2761,2783],{},[1339,2762,2763,2765,2768,2771,2773,2776,2778,2781],{},[1342,2764,2534],{},[1498,2766,2767],{},"∈",[1498,2769,2770],{"stretchy":1795},"[",[1494,2772,1826],{},[1498,2774,2775],{"separator":1355},",",[1498,2777,1500],{},[1342,2779,2780],{"mathvariant":1344},"∞",[1498,2782,1807],{"stretchy":1795},[1347,2784,2785],{"encoding":1349},"x\\in[0,+\\infty)",[1323,2787,2789,2808],{"className":2788,"ariaHidden":1355},[1354],[1323,2790,2792,2796,2799,2802,2805],{"className":2791},[1359],[1323,2793],{"className":2794,"style":2795},[1363],"height:0.5782em;vertical-align:-0.0391em;",[1323,2797,2534],{"className":2798},[1368,1551],[1323,2800],{"className":2801,"style":1666},[1590],[1323,2803,2767],{"className":2804},[1670],[1323,2806],{"className":2807,"style":1666},[1590],[1323,2809,2811,2814,2817,2820,2824,2828,2831,2834],{"className":2810},[1359],[1323,2812],{"className":2813,"style":1900},[1363],[1323,2815,2770],{"className":2816},[1904],[1323,2818,1826],{"className":2819},[1368],[1323,2821,2775],{"className":2822},[2823],"mpunct",[1323,2825],{"className":2826,"style":2827},[1590],"margin-right:0.1667em;",[1323,2829,1500],{"className":2830},[1368],[1323,2832,2780],{"className":2833},[1368],[1323,2835,1807],{"className":2836},[1932],"时",[1323,2839,2841,2861],{"className":2840},[1326],[1323,2842,2844],{"className":2843},[1330],[1332,2845,2846],{"xmlns":1334},[1336,2847,2848,2858],{},[1339,2849,2850,2852,2854,2856],{},[1342,2851,2529],{},[1498,2853,1796],{"stretchy":1795},[1342,2855,2534],{},[1498,2857,1807],{"stretchy":1795},[1347,2859,2860],{"encoding":1349},"f(x)",[1323,2862,2864],{"className":2863,"ariaHidden":1355},[1354],[1323,2865,2867,2870,2873,2876,2879],{"className":2866},[1359],[1323,2868],{"className":2869,"style":1900},[1363],[1323,2871,2529],{"className":2872,"style":2582},[1368,1551],[1323,2874,1796],{"className":2875},[1904],[1323,2877,2534],{"className":2878},[1368,1551],[1323,2880,1807],{"className":2881},[1932],[1264,2883,2884,2890],{},[1267,2885,2886],{},[1270,2887,2888],{},[1273,2889],{},[1280,2891,2892,3278,3453],{},[1270,2893,2894],{},[1285,2895,2896,2897,2961,2962,3040,3041,3122,3123,3277],{},"换元，令t=",[1323,2898,2900,2920],{"className":2899},[1326],[1323,2901,2903],{"className":2902},[1330],[1332,2904,2905],{"xmlns":1334},[1336,2906,2907,2917],{},[1339,2908,2909,2911],{},[1494,2910,1496],{},[1488,2912,2913,2915],{},[1342,2914,2545],{},[1494,2916,1496],{},[1347,2918,2919],{"encoding":1349},"2e^2",[1323,2921,2923],{"className":2922,"ariaHidden":1355},[1354],[1323,2924,2926,2929,2932],{"className":2925},[1359],[1323,2927],{"className":2928,"style":1568},[1363],[1323,2930,1496],{"className":2931},[1368],[1323,2933,2935,2938],{"className":2934},[1368],[1323,2936,2545],{"className":2937},[1368,1551],[1323,2939,2941],{"className":2940},[1555],[1323,2942,2944],{"className":2943},[1559],[1323,2945,2947],{"className":2946},[1563],[1323,2948,2950],{"className":2949,"style":1568},[1567],[1323,2951,2952,2955],{"style":1571},[1323,2953],{"className":2954,"style":1576},[1575],[1323,2956,2958],{"className":2957},[1580,1581,1582,1583],[1323,2959,1496],{"className":2960},[1368,1583],"，则在",[1323,2963,2965,2992],{"className":2964},[1326],[1323,2966,2968],{"className":2967},[1330],[1332,2969,2970],{"xmlns":1334},[1336,2971,2972,2990],{},[1339,2973,2974,2976,2978,2980,2982,2984,2986,2988],{},[1342,2975,2534],{},[1498,2977,2767],{},[1498,2979,2770],{"stretchy":1795},[1494,2981,1826],{},[1498,2983,2775],{"separator":1355},[1498,2985,1500],{},[1342,2987,2780],{"mathvariant":1344},[1498,2989,1807],{"stretchy":1795},[1347,2991,2785],{"encoding":1349},[1323,2993,2995,3013],{"className":2994,"ariaHidden":1355},[1354],[1323,2996,2998,3001,3004,3007,3010],{"className":2997},[1359],[1323,2999],{"className":3000,"style":2795},[1363],[1323,3002,2534],{"className":3003},[1368,1551],[1323,3005],{"className":3006,"style":1666},[1590],[1323,3008,2767],{"className":3009},[1670],[1323,3011],{"className":3012,"style":1666},[1590],[1323,3014,3016,3019,3022,3025,3028,3031,3034,3037],{"className":3015},[1359],[1323,3017],{"className":3018,"style":1900},[1363],[1323,3020,2770],{"className":3021},[1904],[1323,3023,1826],{"className":3024},[1368],[1323,3026,2775],{"className":3027},[2823],[1323,3029],{"className":3030,"style":2827},[1590],[1323,3032,1500],{"className":3033},[1368],[1323,3035,2780],{"className":3036},[1368],[1323,3038,1807],{"className":3039},[1932],"时，",[1323,3042,3044,3073],{"className":3043},[1326],[1323,3045,3047],{"className":3046},[1330],[1332,3048,3049],{"xmlns":1334},[1336,3050,3051,3070],{},[1339,3052,3053,3056,3058,3060,3062,3064,3066,3068],{},[1342,3054,3055],{},"t",[1498,3057,2767],{},[1498,3059,2770],{"stretchy":1795},[1494,3061,1496],{},[1498,3063,2775],{"separator":1355},[1498,3065,1500],{},[1342,3067,2780],{"mathvariant":1344},[1498,3069,1807],{"stretchy":1795},[1347,3071,3072],{"encoding":1349},"t\\in[2,+\\infty)",[1323,3074,3076,3095],{"className":3075,"ariaHidden":1355},[1354],[1323,3077,3079,3083,3086,3089,3092],{"className":3078},[1359],[1323,3080],{"className":3081,"style":3082},[1363],"height:0.6542em;vertical-align:-0.0391em;",[1323,3084,3055],{"className":3085},[1368,1551],[1323,3087],{"className":3088,"style":1666},[1590],[1323,3090,2767],{"className":3091},[1670],[1323,3093],{"className":3094,"style":1666},[1590],[1323,3096,3098,3101,3104,3107,3110,3113,3116,3119],{"className":3097},[1359],[1323,3099],{"className":3100,"style":1900},[1363],[1323,3102,2770],{"className":3103},[1904],[1323,3105,1496],{"className":3106},[1368],[1323,3108,2775],{"className":3109},[2823],[1323,3111],{"className":3112,"style":2827},[1590],[1323,3114,1500],{"className":3115},[1368],[1323,3117,2780],{"className":3118},[1368],[1323,3120,1807],{"className":3121},[1932],"，此时",[1323,3124,3126,3160],{"className":3125},[1326],[1323,3127,3129],{"className":3128},[1330],[1332,3130,3131],{"xmlns":1334},[1336,3132,3133,3157],{},[1339,3134,3135,3137,3139,3141,3143,3145,3147,3149],{},[1342,3136,2529],{},[1498,3138,1796],{"stretchy":1795},[1342,3140,2534],{},[1498,3142,1807],{"stretchy":1795},[1498,3144,1528],{},[1342,3146,3055],{},[1498,3148,1500],{},[1824,3150,3151],{"scriptlevel":1826,"displaystyle":1355},[1828,3152,3153,3155],{},[1494,3154,2556],{},[1342,3156,3055],{},[1347,3158,3159],{"encoding":1349},"f(x)=t+\\dfrac{1}{t}",[1323,3161,3163,3190,3209],{"className":3162,"ariaHidden":1355},[1354],[1323,3164,3166,3169,3172,3175,3178,3181,3184,3187],{"className":3165},[1359],[1323,3167],{"className":3168,"style":1900},[1363],[1323,3170,2529],{"className":3171,"style":2582},[1368,1551],[1323,3173,1796],{"className":3174},[1904],[1323,3176,2534],{"className":3177},[1368,1551],[1323,3179,1807],{"className":3180},[1932],[1323,3182],{"className":3183,"style":1666},[1590],[1323,3185,1528],{"className":3186},[1670],[1323,3188],{"className":3189,"style":1666},[1590],[1323,3191,3193,3197,3200,3203,3206],{"className":3192},[1359],[1323,3194],{"className":3195,"style":3196},[1363],"height:0.6984em;vertical-align:-0.0833em;",[1323,3198,3055],{"className":3199},[1368,1551],[1323,3201],{"className":3202,"style":1591},[1590],[1323,3204,1500],{"className":3205},[1595],[1323,3207],{"className":3208,"style":1591},[1590],[1323,3210,3212,3215],{"className":3211},[1359],[1323,3213],{"className":3214,"style":2656},[1363],[1323,3216,3218,3221,3274],{"className":3217},[1368],[1323,3219],{"className":3220},[1904,1985],[1323,3222,3224],{"className":3223},[1828],[1323,3225,3227,3266],{"className":3226},[1559,1992],[1323,3228,3230,3263],{"className":3229},[1563],[1323,3231,3233,3244,3252],{"className":3232,"style":2675},[1567],[1323,3234,3235,3238],{"style":2002},[1323,3236],{"className":3237,"style":2006},[1575],[1323,3239,3241],{"className":3240},[1368],[1323,3242,3055],{"className":3243},[1368,1551],[1323,3245,3246,3249],{"style":2015},[1323,3247],{"className":3248,"style":2006},[1575],[1323,3250],{"className":3251,"style":2023},[2022],[1323,3253,3254,3257],{"style":2026},[1323,3255],{"className":3256,"style":2006},[1575],[1323,3258,3260],{"className":3259},[1368],[1323,3261,2556],{"className":3262},[1368],[1323,3264,2114],{"className":3265},[2113],[1323,3267,3269],{"className":3268},[1563],[1323,3270,3272],{"className":3271,"style":2121},[1567],[1323,3273],{},[1323,3275],{"className":3276},[1932,1985],"，变成了简单的对勾函数问题",[1270,3279,3280],{},[1285,3281,3282,3283,3400,3401,3452],{},"你可能非常想用基本不等式（我也想用），但注意，取等条件是",[1323,3284,3286,3310],{"className":3285},[1326],[1323,3287,3289],{"className":3288},[1330],[1332,3290,3291],{"xmlns":1334},[1336,3292,3293,3307],{},[1339,3294,3295,3297,3299],{},[1342,3296,3055],{},[1498,3298,1528],{},[1824,3300,3301],{"scriptlevel":1826,"displaystyle":1355},[1828,3302,3303,3305],{},[1494,3304,2556],{},[1342,3306,3055],{},[1347,3308,3309],{"encoding":1349},"t=\\dfrac{1}{t}",[1323,3311,3313,3332],{"className":3312,"ariaHidden":1355},[1354],[1323,3314,3316,3320,3323,3326,3329],{"className":3315},[1359],[1323,3317],{"className":3318,"style":3319},[1363],"height:0.6151em;",[1323,3321,3055],{"className":3322},[1368,1551],[1323,3324],{"className":3325,"style":1666},[1590],[1323,3327,1528],{"className":3328},[1670],[1323,3330],{"className":3331,"style":1666},[1590],[1323,3333,3335,3338],{"className":3334},[1359],[1323,3336],{"className":3337,"style":2656},[1363],[1323,3339,3341,3344,3397],{"className":3340},[1368],[1323,3342],{"className":3343},[1904,1985],[1323,3345,3347],{"className":3346},[1828],[1323,3348,3350,3389],{"className":3349},[1559,1992],[1323,3351,3353,3386],{"className":3352},[1563],[1323,3354,3356,3367,3375],{"className":3355,"style":2675},[1567],[1323,3357,3358,3361],{"style":2002},[1323,3359],{"className":3360,"style":2006},[1575],[1323,3362,3364],{"className":3363},[1368],[1323,3365,3055],{"className":3366},[1368,1551],[1323,3368,3369,3372],{"style":2015},[1323,3370],{"className":3371,"style":2006},[1575],[1323,3373],{"className":3374,"style":2023},[2022],[1323,3376,3377,3380],{"style":2026},[1323,3378],{"className":3379,"style":2006},[1575],[1323,3381,3383],{"className":3382},[1368],[1323,3384,2556],{"className":3385},[1368],[1323,3387,2114],{"className":3388},[2113],[1323,3390,3392],{"className":3391},[1563],[1323,3393,3395],{"className":3394,"style":2121},[1567],[1323,3396],{},[1323,3398],{"className":3399},[1932,1985],"即",[1323,3402,3404,3422],{"className":3403},[1326],[1323,3405,3407],{"className":3406},[1330],[1332,3408,3409],{"xmlns":1334},[1336,3410,3411,3419],{},[1339,3412,3413,3415,3417],{},[1342,3414,3055],{},[1498,3416,1528],{},[1494,3418,2556],{},[1347,3420,3421],{"encoding":1349},"t=1",[1323,3423,3425,3443],{"className":3424,"ariaHidden":1355},[1354],[1323,3426,3428,3431,3434,3437,3440],{"className":3427},[1359],[1323,3429],{"className":3430,"style":3319},[1363],[1323,3432,3055],{"className":3433},[1368,1551],[1323,3435],{"className":3436,"style":1666},[1590],[1323,3438,1528],{"className":3439},[1670],[1323,3441],{"className":3442,"style":1666},[1590],[1323,3444,3446,3449],{"className":3445},[1359],[1323,3447],{"className":3448,"style":1680},[1363],[1323,3450,2556],{"className":3451},[1368],"不在范围内，所以不能用基本不等式求最值",[1270,3454,3455],{},[1285,3456,3457,3458,3536,3537,3580,3581,3632,3633],{},"注意到f(x)在",[1323,3459,3461,3488],{"className":3460},[1326],[1323,3462,3464],{"className":3463},[1330],[1332,3465,3466],{"xmlns":1334},[1336,3467,3468,3486],{},[1339,3469,3470,3472,3474,3476,3478,3480,3482,3484],{},[1342,3471,3055],{},[1498,3473,2767],{},[1498,3475,2770],{"stretchy":1795},[1494,3477,1496],{},[1498,3479,2775],{"separator":1355},[1498,3481,1500],{},[1342,3483,2780],{"mathvariant":1344},[1498,3485,1807],{"stretchy":1795},[1347,3487,3072],{"encoding":1349},[1323,3489,3491,3509],{"className":3490,"ariaHidden":1355},[1354],[1323,3492,3494,3497,3500,3503,3506],{"className":3493},[1359],[1323,3495],{"className":3496,"style":3082},[1363],[1323,3498,3055],{"className":3499},[1368,1551],[1323,3501],{"className":3502,"style":1666},[1590],[1323,3504,2767],{"className":3505},[1670],[1323,3507],{"className":3508,"style":1666},[1590],[1323,3510,3512,3515,3518,3521,3524,3527,3530,3533],{"className":3511},[1359],[1323,3513],{"className":3514,"style":1900},[1363],[1323,3516,2770],{"className":3517},[1904],[1323,3519,1496],{"className":3520},[1368],[1323,3522,2775],{"className":3523},[2823],[1323,3525],{"className":3526,"style":2827},[1590],[1323,3528,1500],{"className":3529},[1368],[1323,3531,2780],{"className":3532},[1368],[1323,3534,1807],{"className":3535},[1932],"时单调递增，所以",[1323,3538,3540,3559],{"className":3539},[1326],[1323,3541,3543],{"className":3542},[1330],[1332,3544,3545],{"xmlns":1334},[1336,3546,3547,3557],{},[1339,3548,3549,3551,3553,3555],{},[1342,3550,2529],{},[1498,3552,1796],{"stretchy":1795},[1342,3554,2534],{},[1498,3556,1807],{"stretchy":1795},[1347,3558,2860],{"encoding":1349},[1323,3560,3562],{"className":3561,"ariaHidden":1355},[1354],[1323,3563,3565,3568,3571,3574,3577],{"className":3564},[1359],[1323,3566],{"className":3567,"style":1900},[1363],[1323,3569,2529],{"className":3570,"style":2582},[1368,1551],[1323,3572,1796],{"className":3573},[1904],[1323,3575,2534],{"className":3576},[1368,1551],[1323,3578,1807],{"className":3579},[1932],"的最小值在",[1323,3582,3584,3602],{"className":3583},[1326],[1323,3585,3587],{"className":3586},[1330],[1332,3588,3589],{"xmlns":1334},[1336,3590,3591,3599],{},[1339,3592,3593,3595,3597],{},[1342,3594,3055],{},[1498,3596,1528],{},[1494,3598,1496],{},[1347,3600,3601],{"encoding":1349},"t=2",[1323,3603,3605,3623],{"className":3604,"ariaHidden":1355},[1354],[1323,3606,3608,3611,3614,3617,3620],{"className":3607},[1359],[1323,3609],{"className":3610,"style":3319},[1363],[1323,3612,3055],{"className":3613},[1368,1551],[1323,3615],{"className":3616,"style":1666},[1590],[1323,3618,1528],{"className":3619},[1670],[1323,3621],{"className":3622,"style":1666},[1590],[1323,3624,3626,3629],{"className":3625},[1359],[1323,3627],{"className":3628,"style":1680},[1363],[1323,3630,1496],{"className":3631},[1368],"时取到，即",[1323,3634,3636,3689],{"className":3635},[1326],[1323,3637,3639],{"className":3638},[1330],[1332,3640,3641],{"xmlns":1334},[1336,3642,3643,3686],{},[1339,3644,3645,3647,3649,3651,3667,3669,3671,3673,3681,3683],{},[1342,3646,2529],{},[1498,3648,1796],{"stretchy":1795},[1342,3650,2534],{},[3652,3653,3654,3656],"msub",{},[1498,3655,1807],{"stretchy":1795},[1339,3657,3658,3661,3664],{},[1342,3659,3660],{},"m",[1342,3662,3663],{},"i",[1342,3665,3666],{},"n",[1498,3668,1528],{},[1494,3670,1496],{},[1498,3672,1500],{},[1824,3674,3675],{"scriptlevel":1826,"displaystyle":1355},[1828,3676,3677,3679],{},[1494,3678,2556],{},[1494,3680,1496],{},[1498,3682,1528],{},[1494,3684,3685],{},"2.5",[1347,3687,3688],{"encoding":1349},"f(x)_{min}=2+\\dfrac{1}{2}=2.5",[1323,3690,3692,3763,3781,3858],{"className":3691,"ariaHidden":1355},[1354],[1323,3693,3695,3698,3701,3704,3707,3754,3757,3760],{"className":3694},[1359],[1323,3696],{"className":3697,"style":1900},[1363],[1323,3699,2529],{"className":3700,"style":2582},[1368,1551],[1323,3702,1796],{"className":3703},[1904],[1323,3705,2534],{"className":3706},[1368,1551],[1323,3708,3710,3713],{"className":3709},[1932],[1323,3711,1807],{"className":3712},[1932],[1323,3714,3716],{"className":3715},[1555],[1323,3717,3719,3745],{"className":3718},[1559,1992],[1323,3720,3722,3742],{"className":3721},[1563],[1323,3723,3726],{"className":3724,"style":3725},[1567],"height:0.3117em;",[1323,3727,3729,3732],{"style":3728},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[1323,3730],{"className":3731,"style":1576},[1575],[1323,3733,3735],{"className":3734},[1580,1581,1582,1583],[1323,3736,3738],{"className":3737},[1368,1583],[1323,3739,3741],{"className":3740},[1368,1551,1583],"min",[1323,3743,2114],{"className":3744},[2113],[1323,3746,3748],{"className":3747},[1563],[1323,3749,3752],{"className":3750,"style":3751},[1567],"height:0.15em;",[1323,3753],{},[1323,3755],{"className":3756,"style":1666},[1590],[1323,3758,1528],{"className":3759},[1670],[1323,3761],{"className":3762,"style":1666},[1590],[1323,3764,3766,3769,3772,3775,3778],{"className":3765},[1359],[1323,3767],{"className":3768,"style":1628},[1363],[1323,3770,1496],{"className":3771},[1368],[1323,3773],{"className":3774,"style":1591},[1590],[1323,3776,1500],{"className":3777},[1595],[1323,3779],{"className":3780,"style":1591},[1590],[1323,3782,3784,3787,3849,3852,3855],{"className":3783},[1359],[1323,3785],{"className":3786,"style":2656},[1363],[1323,3788,3790,3793,3846],{"className":3789},[1368],[1323,3791],{"className":3792},[1904,1985],[1323,3794,3796],{"className":3795},[1828],[1323,3797,3799,3838],{"className":3798},[1559,1992],[1323,3800,3802,3835],{"className":3801},[1563],[1323,3803,3805,3816,3824],{"className":3804,"style":2675},[1567],[1323,3806,3807,3810],{"style":2002},[1323,3808],{"className":3809,"style":2006},[1575],[1323,3811,3813],{"className":3812},[1368],[1323,3814,1496],{"className":3815},[1368],[1323,3817,3818,3821],{"style":2015},[1323,3819],{"className":3820,"style":2006},[1575],[1323,3822],{"className":3823,"style":2023},[2022],[1323,3825,3826,3829],{"style":2026},[1323,3827],{"className":3828,"style":2006},[1575],[1323,3830,3832],{"className":3831},[1368],[1323,3833,2556],{"className":3834},[1368],[1323,3836,2114],{"className":3837},[2113],[1323,3839,3841],{"className":3840},[1563],[1323,3842,3844],{"className":3843,"style":2121},[1567],[1323,3845],{},[1323,3847],{"className":3848},[1932,1985],[1323,3850],{"className":3851,"style":1666},[1590],[1323,3853,1528],{"className":3854},[1670],[1323,3856],{"className":3857,"style":1666},[1590],[1323,3859,3861,3864],{"className":3860},[1359],[1323,3862],{"className":3863,"style":1680},[1363],[1323,3865,3685],{"className":3866},[1368],[1236,3868,3869],{},"顺带说说抽象函数，它的要点是赋值，其解题过程会非常有趣，抓住对称性、周期性、奇偶性会对做题很有帮助",[1255,3871,3872],{},[1236,3873,3874],{},"题目暂缺咕嘎",[1260,3876,1179],{"id":3877},"必修一-第四章-指数函数与对数函数",[1264,3879,3880,3888],{},[1267,3881,3882],{},[1270,3883,3884,3886],{},[1273,3885,1275],{},[1273,3887,1278],{},[1280,3889,3890,3897,3904,3911],{},[1270,3891,3892,3895],{},[1285,3893,3894],{},"指数领域的扩充",[1285,3896,1312],{},[1270,3898,3899,3902],{},[1285,3900,3901],{},"指数函数",[1285,3903,1435],{},[1270,3905,3906,3909],{},[1285,3907,3908],{},"对数及其运算",[1285,3910,1435],{},[1270,3912,3913,3916],{},[1285,3914,3915],{},"对数函数",[1285,3917,1435],{},[1236,3919,3920],{},"这一章知识点和上一章的幂函数我认为主要是对计算和函数类型的扩充，初步接触可能会有点难以理解",[1236,3922,3923],{},"题型主要是函数题型的扩充及让你的应用题更难一点（）",[1236,3925,3926,3927,3929],{},"同样的，掌握",[1464,3928,2505],{},"等函数性质，你就掌握了指对幂函数",[1236,3931,3932],{},"此外从这一章开始你会遇到特别恐怖的比大小",[1255,3934,3935],{},[1236,3936,3937,3938,4208,4209,4208,4456,4638],{},"题来：已知",[1323,3939,3941,3979],{"className":3940},[1326],[1323,3942,3944],{"className":3943},[1330],[1332,3945,3946],{"xmlns":1334},[1336,3947,3948,3976],{},[1339,3949,3950,3952,3954,3970],{},[1342,3951,1492],{},[1498,3953,1528],{},[3652,3955,3956,3964],{},[1339,3957,3958,3961],{},[1342,3959,3960],{},"log",[1498,3962,3963],{},"⁡",[1828,3965,3966,3968],{},[1494,3967,2556],{},[1494,3969,2275],{},[1828,3971,3972,3974],{},[1494,3973,2556],{},[1494,3975,1496],{},[1347,3977,3978],{"encoding":1349},"a=\\log_{\\frac{1}{3} 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\\frac{4}{3}",[1323,4492,4494,4512],{"className":4493,"ariaHidden":1355},[1354],[1323,4495,4497,4500,4503,4506,4509],{"className":4496},[1359],[1323,4498],{"className":4499,"style":1756},[1363],[1323,4501,1516],{"className":4502},[1368,1551],[1323,4504],{"className":4505,"style":1666},[1590],[1323,4507,1528],{"className":4508},[1670],[1323,4510],{"className":4511,"style":1666},[1590],[1323,4513,4515,4519,4567,4570],{"className":4514},[1359],[1323,4516],{"className":4517,"style":4518},[1363],"height:1.1901em;vertical-align:-0.345em;",[1323,4520,4522,4527],{"className":4521},[4010],[1323,4523,4014,4525],{"className":4524},[4010],[1323,4526,4018],{"style":4017},[1323,4528,4530],{"className":4529},[1555],[1323,4531,4533,4558],{"className":4532},[1559,1992],[1323,4534,4536,4555],{"className":4535},[1563],[1323,4537,4540],{"className":4538,"style":4539},[1567],"height:0.207em;",[1323,4541,4543,4546],{"style":4542},"top:-2.4559em;margin-right:0.05em;",[1323,4544],{"className":4545,"style":1576},[1575],[1323,4547,4549],{"className":4548},[1580,1581,1582,1583],[1323,4550,4552],{"className":4551},[1368,1583],[1323,4553,2275],{"className":4554},[1368,1583],[1323,4556,2114],{"className":4557},[2113],[1323,4559,4561],{"className":4560},[1563],[1323,4562,4565],{"className":4563,"style":4564},[1567],"height:0.2441em;",[1323,4566],{},[1323,4568],{"className":4569,"style":2827},[1590],[1323,4571,4573,4576,4635],{"className":4572},[1368],[1323,4574],{"className":4575},[1904,1985],[1323,4577,4579],{"className":4578},[1828],[1323,4580,4582,4627],{"className":4581},[1559,1992],[1323,4583,4585,4624],{"className":4584},[1563],[1323,4586,4588,4602,4610],{"className":4587,"style":4154},[1567],[1323,4589,4590,4593],{"style":4157},[1323,4591],{"className":4592,"style":2006},[1575],[1323,4594,4596],{"className":4595},[1580,1581,1582,1583],[1323,4597,4599],{"className":4598},[1368,1583],[1323,4600,2275],{"className":4601},[1368,1583],[1323,4603,4604,4607],{"style":2015},[1323,4605],{"className":4606,"style":2006},[1575],[1323,4608],{"className":4609,"style":2023},[2022],[1323,4611,4612,4615],{"style":4180},[1323,4613],{"className":4614,"style":2006},[1575],[1323,4616,4618],{"className":4617},[1580,1581,1582,1583],[1323,4619,4621],{"className":4620},[1368,1583],[1323,4622,1521],{"className":4623},[1368,1583],[1323,4625,2114],{"className":4626},[2113],[1323,4628,4630],{"className":4629},[1563],[1323,4631,4633],{"className":4632,"style":4202},[1567],[1323,4634],{},[1323,4636],{"className":4637},[1932,1985],"，则（） A.a\u003Cb\u003Cc B.c\u003Cb\u003Ca C.b\u003Ca\u003Cc D.b\u003Cc\u003Ca",[1264,4640,4641,4647],{},[1267,4642,4643],{},[1270,4644,4645],{},[1273,4646],{},[1280,4648,4649,4942,5077,5177],{},[1270,4650,4651],{},[1285,4652,4653,4654,4208,4764],{},"可以先将底数中的分数化成整数，",[1323,4655,4657,4685],{"className":4656},[1326],[1323,4658,4660],{"className":4659},[1330],[1332,4661,4662],{"xmlns":1334},[1336,4663,4664,4682],{},[1339,4665,4666,4668,4670,4680],{},[1342,4667,1492],{},[1498,4669,1528],{},[3652,4671,4672,4678],{},[1339,4673,4674,4676],{},[1342,4675,3960],{},[1498,4677,3963],{},[1494,4679,2275],{},[1494,4681,1496],{},[1347,4683,4684],{"encoding":1349},"a=\\log_{3} 2",[1323,4686,4688,4706],{"className":4687,"ariaHidden":1355},[1354],[1323,4689,4691,4694,4697,4700,4703],{"className":4690},[1359],[1323,4692],{"className":4693,"style":1756},[1363],[1323,4695,1492],{"className":4696},[1368,1551],[1323,4698],{"className":4699,"style":1666},[1590],[1323,4701,1528],{"className":4702},[1670],[1323,4704],{"className":4705,"style":1666},[1590],[1323,4707,4709,4713,4758,4761],{"className":4708},[1359],[1323,4710],{"className":4711,"style":4712},[1363],"height:0.9386em;vertical-align:-0.2441em;",[1323,4714,4716,4721],{"className":4715},[4010],[1323,4717,4014,4719],{"className":4718},[4010],[1323,4720,4018],{"style":4017},[1323,4722,4724],{"className":4723},[1555],[1323,4725,4727,4750],{"className":4726},[1559,1992],[1323,4728,4730,4747],{"className":4729},[1563],[1323,4731,4733],{"className":4732,"style":4539},[1567],[1323,4734,4735,4738],{"style":4542},[1323,4736],{"className":4737,"style":1576},[1575],[1323,4739,4741],{"className":4740},[1580,1581,1582,1583],[1323,4742,4744],{"className":4743},[1368,1583],[1323,4745,2275],{"className":4746},[1368,1583],[1323,4748,2114],{"className":4749},[2113],[1323,4751,4753],{"className":4752},[1563],[1323,4754,4756],{"className":4755,"style":4564},[1567],[1323,4757],{},[1323,4759],{"className":4760,"style":2827},[1590],[1323,4762,1496],{"className":4763},[1368],[1323,4765,4767,4799],{"className":4766},[1326],[1323,4768,4770],{"className":4769},[1330],[1332,4771,4772],{"xmlns":1334},[1336,4773,4774,4796],{},[1339,4775,4776,4778,4780,4790],{},[1342,4777,1507],{},[1498,4779,1528],{},[3652,4781,4782,4788],{},[1339,4783,4784,4786],{},[1342,4785,3960],{},[1498,4787,3963],{},[1494,4789,1496],{},[1828,4791,4792,4794],{},[1494,4793,2275],{},[1494,4795,1496],{},[1347,4797,4798],{"encoding":1349},"b=\\log_{2} \\frac{3}{2}",[1323,4800,4802,4820],{"className":4801,"ariaHidden":1355},[1354],[1323,4803,4805,4808,4811,4814,4817],{"className":4804},[1359],[1323,4806],{"className":4807,"style":1653},[1363],[1323,4809,1507],{"className":4810},[1368,1551],[1323,4812],{"className":4813,"style":1666},[1590],[1323,4815,1528],{"className":4816},[1670],[1323,4818],{"className":4819,"style":1666},[1590],[1323,4821,4823,4826,4871,4874],{"className":4822},[1359],[1323,4824],{"className":4825,"style":4518},[1363],[1323,4827,4829,4834],{"className":4828},[4010],[1323,4830,4014,4832],{"className":4831},[4010],[1323,4833,4018],{"style":4017},[1323,4835,4837],{"className":4836},[1555],[1323,4838,4840,4863],{"className":4839},[1559,1992],[1323,4841,4843,4860],{"className":4842},[1563],[1323,4844,4846],{"className":4845,"style":4539},[1567],[1323,4847,4848,4851],{"style":4542},[1323,4849],{"className":4850,"style":1576},[1575],[1323,4852,4854],{"className":4853},[1580,1581,1582,1583],[1323,4855,4857],{"className":4856},[1368,1583],[1323,4858,1496],{"className":4859},[1368,1583],[1323,4861,2114],{"className":4862},[2113],[1323,4864,4866],{"className":4865},[1563],[1323,4867,4869],{"className":4868,"style":4564},[1567],[1323,4870],{},[1323,4872],{"className":4873,"style":2827},[1590],[1323,4875,4877,4880,4939],{"className":4876},[1368],[1323,4878],{"className":4879},[1904,1985],[1323,4881,4883],{"className":4882},[1828],[1323,4884,4886,4931],{"className":4885},[1559,1992],[1323,4887,4889,4928],{"className":4888},[1563],[1323,4890,4892,4906,4914],{"className":4891,"style":4154},[1567],[1323,4893,4894,4897],{"style":4157},[1323,4895],{"className":4896,"style":2006},[1575],[1323,4898,4900],{"className":4899},[1580,1581,1582,1583],[1323,4901,4903],{"className":4902},[1368,1583],[1323,4904,1496],{"className":4905},[1368,1583],[1323,4907,4908,4911],{"style":2015},[1323,4909],{"className":4910,"style":2006},[1575],[1323,4912],{"className":4913,"style":2023},[2022],[1323,4915,4916,4919],{"style":4180},[1323,4917],{"className":4918,"style":2006},[1575],[1323,4920,4922],{"className":4921},[1580,1581,1582,1583],[1323,4923,4925],{"className":4924},[1368,1583],[1323,4926,2275],{"className":4927},[1368,1583],[1323,4929,2114],{"className":4930},[2113],[1323,4932,4934],{"className":4933},[1563],[1323,4935,4937],{"className":4936,"style":4202},[1567],[1323,4938],{},[1323,4940],{"className":4941},[1932,1985],[1270,4943,4944],{},[1285,4945,4946,4947,5076],{},"从关系明显的数下手，如a,c底数相同，由对数函数",[1323,4948,4950,4986],{"className":4949},[1326],[1323,4951,4953],{"className":4952},[1330],[1332,4954,4955],{"xmlns":1334},[1336,4956,4957,4983],{},[1339,4958,4959,4961,4963,4965,4967,4969,4972,4975,4981],{},[1342,4960,2529],{},[1498,4962,1796],{"stretchy":1795},[1342,4964,2534],{},[1498,4966,1807],{"stretchy":1795},[1498,4968,1528],{},[1342,4970,4971],{},"l",[1342,4973,4974],{},"o",[3652,4976,4977,4979],{},[1342,4978,4018],{},[1494,4980,2275],{},[1342,4982,2534],{},[1347,4984,4985],{"encoding":1349},"f(x)=log_3 x",[1323,4987,4989,5016],{"className":4988,"ariaHidden":1355},[1354],[1323,4990,4992,4995,4998,5001,5004,5007,5010,5013],{"className":4991},[1359],[1323,4993],{"className":4994,"style":1900},[1363],[1323,4996,2529],{"className":4997,"style":2582},[1368,1551],[1323,4999,1796],{"className":5000},[1904],[1323,5002,2534],{"className":5003},[1368,1551],[1323,5005,1807],{"className":5006},[1932],[1323,5008],{"className":5009,"style":1666},[1590],[1323,5011,1528],{"className":5012},[1670],[1323,5014],{"className":5015,"style":1666},[1590],[1323,5017,5019,5023,5027,5030,5073],{"className":5018},[1359],[1323,5020],{"className":5021,"style":5022},[1363],"height:0.8889em;vertical-align:-0.1944em;",[1323,5024,4971],{"className":5025,"style":5026},[1368,1551],"margin-right:0.0197em;",[1323,5028,4974],{"className":5029},[1368,1551],[1323,5031,5033,5037],{"className":5032},[1368],[1323,5034,4018],{"className":5035,"style":5036},[1368,1551],"margin-right:0.0359em;",[1323,5038,5040],{"className":5039},[1555],[1323,5041,5043,5065],{"className":5042},[1559,1992],[1323,5044,5046,5062],{"className":5045},[1563],[1323,5047,5050],{"className":5048,"style":5049},[1567],"height:0.3011em;",[1323,5051,5053,5056],{"style":5052},"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;",[1323,5054],{"className":5055,"style":1576},[1575],[1323,5057,5059],{"className":5058},[1580,1581,1582,1583],[1323,5060,2275],{"className":5061},[1368,1583],[1323,5063,2114],{"className":5064},[2113],[1323,5066,5068],{"className":5067},[1563],[1323,5069,5071],{"className":5070,"style":3751},[1567],[1323,5072],{},[1323,5074,2534],{"className":5075},[1368,1551],"是增函数可得a>c，排除掉AC",[1270,5078,5079],{},[1285,5080,5081,5082,5176],{},"若是无从下手了，可以试试和具体值进行比较，注意到a,b,c都小于1，所以我们选",[1323,5083,5085,5105],{"className":5084},[1326],[1323,5086,5088],{"className":5087},[1330],[1332,5089,5090],{"xmlns":1334},[1336,5091,5092,5102],{},[1339,5093,5094],{},[1824,5095,5096],{"scriptlevel":1826,"displaystyle":1355},[1828,5097,5098,5100],{},[1494,5099,2556],{},[1494,5101,1496],{},[1347,5103,5104],{"encoding":1349},"\\dfrac{1}{2}",[1323,5106,5108],{"className":5107,"ariaHidden":1355},[1354],[1323,5109,5111,5114],{"className":5110},[1359],[1323,5112],{"className":5113,"style":2656},[1363],[1323,5115,5117,5120,5173],{"className":5116},[1368],[1323,5118],{"className":5119},[1904,1985],[1323,5121,5123],{"className":5122},[1828],[1323,5124,5126,5165],{"className":5125},[1559,1992],[1323,5127,5129,5162],{"className":5128},[1563],[1323,5130,5132,5143,5151],{"className":5131,"style":2675},[1567],[1323,5133,5134,5137],{"style":2002},[1323,5135],{"className":5136,"style":2006},[1575],[1323,5138,5140],{"className":5139},[1368],[1323,5141,1496],{"className":5142},[1368],[1323,5144,5145,5148],{"style":2015},[1323,5146],{"className":5147,"style":2006},[1575],[1323,5149],{"className":5150,"style":2023},[2022],[1323,5152,5153,5156],{"style":2026},[1323,5154],{"className":5155,"style":2006},[1575],[1323,5157,5159],{"className":5158},[1368],[1323,5160,2556],{"className":5161},[1368],[1323,5163,2114],{"className":5164},[2113],[1323,5166,5168],{"className":5167},[1563],[1323,5169,5171],{"className":5170,"style":2121},[1567],[1323,5172],{},[1323,5174],{"className":5175},[1932,1985],"进行比较，",[1270,5178,5179],{},[1285,5180,5181,5182,5275],{},"接着你会惊喜地发现c\u003C",[1323,5183,5185,5204],{"className":5184},[1326],[1323,5186,5188],{"className":5187},[1330],[1332,5189,5190],{"xmlns":1334},[1336,5191,5192,5202],{},[1339,5193,5194],{},[1824,5195,5196],{"scriptlevel":1826,"displaystyle":1355},[1828,5197,5198,5200],{},[1494,5199,2556],{},[1494,5201,1496],{},[1347,5203,5104],{"encoding":1349},[1323,5205,5207],{"className":5206,"ariaHidden":1355},[1354],[1323,5208,5210,5213],{"className":5209},[1359],[1323,5211],{"className":5212,"style":2656},[1363],[1323,5214,5216,5219,5272],{"className":5215},[1368],[1323,5217],{"className":5218},[1904,1985],[1323,5220,5222],{"className":5221},[1828],[1323,5223,5225,5264],{"className":5224},[1559,1992],[1323,5226,5228,5261],{"className":5227},[1563],[1323,5229,5231,5242,5250],{"className":5230,"style":2675},[1567],[1323,5232,5233,5236],{"style":2002},[1323,5234],{"className":5235,"style":2006},[1575],[1323,5237,5239],{"className":5238},[1368],[1323,5240,1496],{"className":5241},[1368],[1323,5243,5244,5247],{"style":2015},[1323,5245],{"className":5246,"style":2006},[1575],[1323,5248],{"className":5249,"style":2023},[2022],[1323,5251,5252,5255],{"style":2026},[1323,5253],{"className":5254,"style":2006},[1575],[1323,5256,5258],{"className":5257},[1368],[1323,5259,2556],{"className":5260},[1368],[1323,5262,2114],{"className":5263},[2113],[1323,5265,5267],{"className":5266},[1563],[1323,5268,5270],{"className":5269,"style":2121},[1567],[1323,5271],{},[1323,5273],{"className":5274},[1932,1985],"\u003Cb，然后选出B完事",[1260,5277,1184],{"id":5278},"必修一-第五章-三角函数",[1264,5280,5281,5289],{},[1267,5282,5283],{},[1270,5284,5285,5287],{},[1273,5286,1275],{},[1273,5288,1278],{},[1280,5290,5291,5298,5305,5312,5320],{},[1270,5292,5293,5296],{},[1285,5294,5295],{},"弧度制",[1285,5297,1290],{},[1270,5299,5300,5303],{},[1285,5301,5302],{},"任意角三角函数",[1285,5304,1290],{},[1270,5306,5307,5310],{},[1285,5308,5309],{},"三角函数的若干公式",[1285,5311,1443],{},[1270,5313,5314,5317],{},[1285,5315,5316],{},"三角恒等变换",[1285,5318,5319],{},"★★★★★",[1270,5321,5322,5325],{},[1285,5323,5324],{},"三角函数的图像",[1285,5326,5319],{},[1236,5328,5329,5330,5360,5361,5462],{},"弧度制非常简单，你只需要记住180度等于",[1323,5331,5333,5348],{"className":5332},[1326],[1323,5334,5336],{"className":5335},[1330],[1332,5337,5338],{"xmlns":1334},[1336,5339,5340,5345],{},[1339,5341,5342],{},[1342,5343,5344],{},"π",[1347,5346,5347],{"encoding":1349},"\\pi",[1323,5349,5351],{"className":5350,"ariaHidden":1355},[1354],[1323,5352,5354,5357],{"className":5353},[1359],[1323,5355],{"className":5356,"style":1756},[1363],[1323,5358,5344],{"className":5359,"style":5036},[1368,1551],"，1度等于",[1323,5362,5364,5383],{"className":5363},[1326],[1323,5365,5367],{"className":5366},[1330],[1332,5368,5369],{"xmlns":1334},[1336,5370,5371,5380],{},[1339,5372,5373],{},[1828,5374,5375,5377],{},[1342,5376,5344],{},[1494,5378,5379],{},"180",[1347,5381,5382],{"encoding":1349},"\\frac{\\pi}{180}",[1323,5384,5386],{"className":5385,"ariaHidden":1355},[1354],[1323,5387,5389,5393],{"className":5388},[1359],[1323,5390],{"className":5391,"style":5392},[1363],"height:1.0404em;vertical-align:-0.345em;",[1323,5394,5396,5399,5459],{"className":5395},[1368],[1323,5397],{"className":5398},[1904,1985],[1323,5400,5402],{"className":5401},[1828],[1323,5403,5405,5451],{"className":5404},[1559,1992],[1323,5406,5408,5448],{"className":5407},[1563],[1323,5409,5412,5426,5434],{"className":5410,"style":5411},[1567],"height:0.6954em;",[1323,5413,5414,5417],{"style":4157},[1323,5415],{"className":5416,"style":2006},[1575],[1323,5418,5420],{"className":5419},[1580,1581,1582,1583],[1323,5421,5423],{"className":5422},[1368,1583],[1323,5424,5379],{"className":5425},[1368,1583],[1323,5427,5428,5431],{"style":2015},[1323,5429],{"className":5430,"style":2006},[1575],[1323,5432],{"className":5433,"style":2023},[2022],[1323,5435,5436,5439],{"style":4180},[1323,5437],{"className":5438,"style":2006},[1575],[1323,5440,5442],{"className":5441},[1580,1581,1582,1583],[1323,5443,5445],{"className":5444},[1368,1583],[1323,5446,5344],{"className":5447,"style":5036},[1368,1551,1583],[1323,5449,2114],{"className":5450},[2113],[1323,5452,5454],{"className":5453},[1563],[1323,5455,5457],{"className":5456,"style":4202},[1567],[1323,5458],{},[1323,5460],{"className":5461},[1932,1985],"就可以了【搞定】",[1236,5464,5465,5466,2775,5501,5535],{},"任意角三角函数也很好理解，你就当作是把三角函数的定义域从(0,2\\pi)扩展到(",[1323,5467,5469,5486],{"className":5468},[1326],[1323,5470,5472],{"className":5471},[1330],[1332,5473,5474],{"xmlns":1334},[1336,5475,5476,5483],{},[1339,5477,5478,5481],{},[1498,5479,5480],{},"−",[1342,5482,2780],{"mathvariant":1344},[1347,5484,5485],{"encoding":1349},"-\\infty",[1323,5487,5489],{"className":5488,"ariaHidden":1355},[1354],[1323,5490,5492,5495,5498],{"className":5491},[1359],[1323,5493],{"className":5494,"style":1719},[1363],[1323,5496,5480],{"className":5497},[1368],[1323,5499,2780],{"className":5500},[1368],[1323,5502,5504,5520],{"className":5503},[1326],[1323,5505,5507],{"className":5506},[1330],[1332,5508,5509],{"xmlns":1334},[1336,5510,5511,5517],{},[1339,5512,5513,5515],{},[1498,5514,1500],{},[1342,5516,2780],{"mathvariant":1344},[1347,5518,5519],{"encoding":1349},"+\\infty",[1323,5521,5523],{"className":5522,"ariaHidden":1355},[1354],[1323,5524,5526,5529,5532],{"className":5525},[1359],[1323,5527],{"className":5528,"style":1719},[1363],[1323,5530,1500],{"className":5531},[1368],[1323,5533,2780],{"className":5534},[1368],")即可",[1236,5537,5538],{},"三角函数的公式一定要背，不然遇上三角函数的题一定会寄，记住常用公式即可解决题目，全背有助于简化计算提供思路助你解题，此处先罗列了一些常用公式（诱导公式比较多，此处暂时只写了口诀，并且没有正切公式）：",[1264,5540,5541,5551],{},[1267,5542,5543],{},[1270,5544,5545,5548],{},[1273,5546,5547],{},"名称",[1273,5549,5550],{},"公式",[1280,5552,5553,5561,5899,6383],{},[1270,5554,5555,5558],{},[1285,5556,5557],{},"诱导公式",[1285,5559,5560],{},"奇变偶不变符号看象限",[1270,5562,5563,5566],{},[1285,5564,5565],{},"和\u002F差角公式",[1285,5567,5568,5737,5738],{},[1323,5569,5571,5637],{"className":5570},[1326],[1323,5572,5574],{"className":5573},[1330],[1332,5575,5576],{"xmlns":1334},[1336,5577,5578,5634],{},[1339,5579,5580,5583,5585,5587,5589,5591,5594,5596,5598,5600,5602,5604,5606,5608,5610,5612,5614,5616,5618,5620,5622,5624,5626,5628,5630,5632],{},[1342,5581,5582],{},"s",[1342,5584,3663],{},[1342,5586,3666],{},[1498,5588,1796],{"stretchy":1795},[1342,5590,1492],{},[1498,5592,5593],{},"±",[1342,5595,1507],{},[1498,5597,1807],{"stretchy":1795},[1498,5599,1528],{},[1342,5601,5582],{},[1342,5603,3663],{},[1342,5605,3666],{},[1342,5607,1492],{},[1342,5609,1516],{},[1342,5611,4974],{},[1342,5613,5582],{},[1342,5615,1507],{},[1498,5617,5593],{},[1342,5619,1516],{},[1342,5621,4974],{},[1342,5623,5582],{},[1342,5625,1492],{},[1342,5627,5582],{},[1342,5629,3663],{},[1342,5631,3666],{},[1342,5633,1507],{},[1347,5635,5636],{"encoding":1349},"sin(a\\pm b)=sin a cos b\\pm cos a sin 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