内容简介

本书根据全国成人高考数学考试大纲编写，内容包括集合和简易逻辑、不等式和不等式
组、指数与对数、函数、数列、导数、三角函数及其相关概念、三角函数式的变换、三角函
数的图像和性质、解三角形、平面向量、直线、圆锥曲线、排列与组合、概率初步、统计初
步、数学（理工农医类）知识点共17 章。

本书各章的内容分为三部分，第一部分为知识要点，第二部分为考点提炼和真题讲解，
第三部分为专题训练．全书既对考试内容进行分解解析，又对专题内容进行精练，结构合理，
直击考点
．
真题讲解，力求以简洁的文字对历年的典型试题进行全面解析，并辅以解题技巧
的介绍．在本书最后附三套模拟练习，力图帮助考生把握考试动向、强化应试能力。

本书适合参加成人高考的考生使用。

目       录

目录 前言 第一章 集合和简易逻辑.......................................................................................................................... 1 知识要点.................................................................................................................................................... 1 考点提炼.................................................................................................................................................... 1 专题训练.................................................................................................................................................... 3 第二章 不等式和不等式组...................................................................................................................... 5 知识要点.................................................................................................................................................... 5 考点提炼.................................................................................................................................................... 5 真题讲解.................................................................................................................................................... 6 专题训练.................................................................................................................................................... 7 第三章 指数与对数.................................................................................................................................. 9 知识要点.................................................................................................................................................... 9 考点提炼.................................................................................................................................................... 9 真题讲解....................................................................................................................................................10 专题训练....................................................................................................................................................11 第四章 函 数....................................................................................................................................... 13 知识要点....................................................................................................................................................13 考点提炼....................................................................................................................................................13 真题讲解....................................................................................................................................................15 专题训练....................................................................................................................................................18 第五章 数 列....................................................................................................................................... 21 知识要点....................................................................................................................................................21 考点提炼....................................................................................................................................................21 真题讲解....................................................................................................................................................22 专题训练....................................................................................................................................................24 第六章 导 数....................................................................................................................................... 26 知识要点....................................................................................................................................................26 考点提炼....................................................................................................................................................26 真题讲解....................................................................................................................................................27  目录 专题训练....................................................................................................................................................29 第七章 三角函数及其相关概念.............................................................................................................31 知识要点....................................................................................................................................................31 考点提炼....................................................................................................................................................31 真题讲解....................................................................................................................................................32 专题训练....................................................................................................................................................33 第八章 三角函数式的变换......................................................................................................................34 知识要点....................................................................................................................................................34 考点提炼....................................................................................................................................................34 真题讲解....................................................................................................................................................35 专题训练....................................................................................................................................................36 第九章 三角函数的图像和性质.............................................................................................................37 知识要点....................................................................................................................................................37 考点提炼....................................................................................................................................................37 真题讲解....................................................................................................................................................37 专题训练....................................................................................................................................................39 第十章 解 三角形.....................................................................................................................................41 知识要点....................................................................................................................................................41 考点提炼....................................................................................................................................................41 真题讲解....................................................................................................................................................41 专题训练....................................................................................................................................................42 第十一章 平面向量..................................................................................................................................45 知识要点....................................................................................................................................................45 考点提炼....................................................................................................................................................45 真题讲解....................................................................................................................................................46 专题训练....................................................................................................................................................46 第十二章 直线...........................................................................................................................................48 知识要点....................................................................................................................................................48 考点提炼....................................................................................................................................................48 真题讲解....................................................................................................................................................49 专题训练....................................................................................................................................................49 第十三章 圆锥曲线..................................................................................................................................51 知识要点....................................................................................................................................................51 考点提炼....................................................................................................................................................51 第一节圆................................................................................................................................................52 真题讲解....................................................................................................................................................52 专题训练....................................................................................................................................................53 第二节椭圆............................................................................................................................................53 真题讲解....................................................................................................................................................53 V  成人高考5 年真题分析及模拟练习——数学（高中起点专科、本科） 专题训练....................................................................................................................................................55 第三节双曲线........................................................................................................................................56 真题讲解....................................................................................................................................................56 专题训练....................................................................................................................................................57 第四节抛物线........................................................................................................................................58 真题讲解....................................................................................................................................................58 专题训练....................................................................................................................................................59 第十四章 排列与组合...............................................................................................................................60 知识要点....................................................................................................................................................60 考点提炼....................................................................................................................................................60 真题讲解....................................................................................................................................................60 专题训练....................................................................................................................................................61 第十五章 概率初步..................................................................................................................................62 知识要点....................................................................................................................................................62 考点提炼....................................................................................................................................................62 真题讲解....................................................................................................................................................62 专题训练....................................................................................................................................................63 第十六章 统计初步..................................................................................................................................65 知识要点....................................................................................................................................................65 考点提炼....................................................................................................................................................65 真题讲解....................................................................................................................................................65 专题训练....................................................................................................................................................66 第十七章 数学（理工农医类）知识点................................................................................................67 知识要点....................................................................................................................................................67 考点提炼....................................................................................................................................................68 第一节反函数........................................................................................................................................70 真题讲解....................................................................................................................................................70 专题训练....................................................................................................................................................70 第二节复数............................................................................................................................................71 真题讲解....................................................................................................................................................71 专题训练....................................................................................................................................................72 第三节函数的极限................................................................................................................................72 专题训练....................................................................................................................................................72 第四节空间几何....................................................................................................................................73 真题讲解....................................................................................................................................................73 专题训练....................................................................................................................................................76 第五节数学期望....................................................................................................................................77 真题讲解....................................................................................................................................................77 专题训练....................................................................................................................................................78 VI  目录 第六节参数方程....................................................................................................................................78 真题讲解....................................................................................................................................................78 专题训练....................................................................................................................................................78 第七节二项式定理................................................................................................................................79 真题讲解....................................................................................................................................................79 专题训练....................................................................................................................................................79 成人高考数学（文史财经类）模拟试卷一........................................................................................... 81 成人高考数学（文史财经类）模拟试卷二........................................................................................... 84 成人高考数学（文史财经类）模拟试卷三........................................................................................... 87 参考答案......................................................................................................................................................... 90 VII

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