高中数学易错点微课堂 本书特色
本书由新东方优能中学推广管理中心编著,编写老师根据高考大纲,结合多年高考的试题特点,设计或整理出重要知识点和易错题型。
全书采用“纸书 音频微课堂”形式,以易错点知识巩固为主,搭配多种易错练习,并由新东方一线资深教师专业讲解,扫码即可收听每个易错类型配套的音频微课,让考生利用碎片时间学习,牢固掌握核心知识。
此外,书中还配有“同类比对”题目,为考生提供有针对性的练习,帮助考生磨练解题技巧,轻松应对考试。
高中数学易错点微课堂 内容简介
本书由新东方优能中学推广管理中心编著,编写老师根据高考大纲,结合多年高考的试题特点,设计或整理出重要知识点和易错题型。全书采用“纸书+音频微课堂”形式,以易错点知识巩固为主,搭配多种易错练习,并由新东方一线资深教师专业讲解,扫码即可收听每个易错类型配套的音频微课,让考生利用碎片时间学习,牢固掌握核心知识。此外,书中还配有“同类比对”题目,为考生提供有针对性的练习,帮助考生磨练解题技巧,轻松应对考试。
高中数学易错点微课堂 目录
**章 集合与逻辑用语
重要知识点································································································2
易错类型1 忽视Z,R,N,Q等的字母信息···········································4
易错类型2 对集合中元素的性质和实际意义分析不清······························6
易错类型3 不能正确使用数形结合进行集合运算·····································9
易错类型4 对空集认识不清····································································12
易错类型5 忽视集合中元素的互异性······················································16
易错类型6 对集合中参数取值范围能否取到端点值的条件理解不清·········18
易错类型7 充分性与必要性的理解误区···················································20
易错类型8 不能准确判断命题的真假·······················································25
第二章 函数
重要知识点································································································30
易错类型1 对单调性、奇偶性理解不清或应用不当··································37
易错类型2 判断函数奇偶性时忽视定义域的影响································· ····41
易错类型3 忽视换元后新元的取值范围················································ ···44
易错类型4 忽视抽象函数中的隐含条件和性质·········································46
易错类型5 对常见函数值域的求法不熟悉················································50
易错类型6 对函数图象的变换规则理解不清·············································55
易错类型7 不能灵活处理或准确转化函数的零点······································59
易错类型8 忽视不等式中底数大小对不等号的影响···································63
易错类型9 求解比较大小问题时方法不当·················································66
第三章 导数
重要知识点·································································································70
易错类型1 对导数的概念理解有误························································ ···72
易错类型2 不会运用复合函数的求导法则·················································74
易错类型3 求切线时混淆“在某点处”和“过某点”······················ ·········76
易错类型4 混淆导数与单调性的关系························································ 78
易错类型5 对极值的概念理解不清,不能正确区分极值与*值·················· 83
易错类型6 不知在什么情况下需要二次求导···············································87
易错类型7 不会准确转化不等式恒成立的问题································ ···········90
第四章 三角函
重要知识点·································································································98
易错类型1 关于角的概念、表示及扇形公式理解不清·······························103
易错类型2 不会利用任意角三角函数的定义解题······································107
易错类型3 未抓住诱导公式的实质···························································110
易错类型4 忽视A,,对三角函数性质和图象的影响························113
易错类型5 对三角函数图象的变换规则理解不清······································118
易错类型6 求三角函数的*值时未抓住三角函数式的实质························121
易错类型7 三角函数中多值问题的取与舍·················································124
第五章 平面向量
重要知识点·································································································128
易错类型1 对平面向量的基本概念及运算律理解不清···························· ···131
易错类型2 不能正确进行平面向量的线性运算··········································134
易错类型3 不能正确利用平面向量的数量积解题······················· ···············137
篇幅有限,目录略
高中数学易错点微课堂 作者简介
作者名:新东方优能中学推广管理中心
新东方优能中学教育是新东方教育科技集团旗下的知名中学教育品牌,专注于为13至18岁的考生提供一流的全科课外培训,凭借精准的测评定位、科学的学习方案、标准化的精英师资团队和贴心周到的课程服务,为全国学子鼎力打造高标准、高品质的教学产品。新东方优能中考推广管理中心对新东方各分校优能中学项目进行统一管理和提供标准化的指导,推进课程标准化和整个优能中学项目全面发展。该中心以突破中学应试为重点,在本书中为考生权威解读高考高频考点和考试趋势,细致传授答题技巧,促进考生成绩与能力的全面提升。