第1 章 函数································································································································1__eol__1.1 知识点提要·····················································································································1__eol__1.1.1 函数的概念·············································································································1__eol__1.1.2 具有特殊性质的函数································································································1__eol__1.2 例题与方法·····················································································································2__eol__1.2.1 函数定义域的确定及函数关系符号的使用··································································2__eol__1.2.2 函数性质的鉴别······································································································3__eol__1.3 习题································································································································4__eol__第2 章 极限与连续·····················································································································8__eol__2.1 知识点提要·····················································································································8__eol__2.1.1 极限、连续、间断点的概念及其等价概念··································································8__eol__2.1.2 无穷小····················································································································9__eol__2.1.3 极限和连续的性质···································································································9__eol__2.1.4 闭区间上连续函数的三个原理···················································································9__eol__2.2 例题与方法·····················································································································9__eol__2.2.1 极限的计算·············································································································9__eol__2.2.2 函数连续性与间断点的鉴别····················································································19__eol__2.2.3 闭区间上连续函数的三个原理的应用·······································································20__eol__2.3 习题······························································································································21__eol__第3 章 导数与微分···················································································································28__eol__3.1 知识点提要···················································································································28__eol__3.1.1 导数与微分的概念、关系及实际意义·······································································28__eol__3.1.2 导数公式··············································································································29__eol__3.2 例题与方法···················································································································30__eol__3.2.1 导数与微分的计算·································································································30__eol__3.2.2 导数意义的应用····································································································37__eol__3.2.3 微分与近似计算····································································································39__eol__3.3 习题······························································································································40__eol__第4 章 中值定理及导数应用···································································································45__eol__4.1 知识点提要···················································································································45__eol__4.1.1 微分中值定理及推论······························································································45__eol__4.1.2 应用定理··············································································································46