推荐回答(3个)
(北师大版)第一章 推理与证明
1.归纳与类比
1.1归纳推理
1.2类比推理
习题1—1
2.综合法与分析法
2.1综合法
2.2分析法
习题1—2
3.反证法
习题1—3
4.数学归纳法
习题1—4
本章小结建议
复习题一
第二章 变化率与导数
1.变化的快慢与变化率
习题2—1
2.导数的概念及其几何意义
2.1导数的概念
2.2导数的几何意义
习题2—2
3.计算导数
习题2—3
4.导数的四则运算法则
4.1导数的加法与减法法则
4.2导数的乘法与除法法则
习题2—4
5.简单复合函数的求导法则
习题2—5
本章小结建议
复习题二
第三章 导数应用
1.函数的单调性与极值
1.1导数与函数的单调性
1.2函数的极值
习题3—1
2.导数在实际问题中的应用
2.1实际问题中导数的意义
2.2最大值、最小值问题
习题3—2
本章小结建议
复习题三
第四章 定积分
1.定积分的概念
1.1定积分背景——面积和路程问题
1.2定积分
习题4—1
2.微积分基本定理
习题4—2
3.定积分的简单应用
3.1平面图形的面积
3.2简单几何体的体积
习题4—3
阅读材料 数学史上的丰碑——微积分
本章小结建议
复习题四
第五章 数系的扩充与复数的引入
1.数系的扩充与复数的引入
1.1数的概念的扩展
1.2复数的有关概念
习题5—1
2.复数的四则运算
2.1复数的加法与减法
2.2复数的乘法与除法
习题5—2
阅读材料 数的扩充
本章小结建议
复习题五
选修2-2 综合练习
探究活动 包装的设计
附录1 常用函数积分公式表
附录2 部分数学专业词汇中英文对照表
附录3 信息检索网址导引
第1章导数 第2章 推理与证明
第3章 数系的扩充与复数的引入
人教A版
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