目录

                                        试题     答案

第1章 数列                             1        121

1.1 数列的概念                           1        121

1.2 等差数列                             4        123

1.2.1 等差数列及其通式公式                4         123

1.2.2 等差数列与一次函数                  6         124

1.2.3 等差数列的前n项和                  8         126

1.3 等比数列                              10        128

1.3.1 等比数列及其通式公式                 10        128

1.3.2 等比数列与指数函数                   12        129

1.3.3 等比数列的前n项和                   14        131

*1.4 数学归纳法                            17        133

1.5 数列求和                               19        136

*1.6 递推数列                              22        138

1.7 数列综合问题                           24        141

单元测试                                   27        143

第2章 平面解析几何初步                    31        146

2.1 直线的斜率                              31        146

2.2 直线的方程                              33        149

2.2.1 直线的点斜式方程                       33        149

2.2.2 直线的两点式方程                       35        151

2.2.3 直线的一般式方程                        38        154

2.2.4 直线的方向向量与法向量                  41        158

2.3 两条直线的位置关系                        43        160

2.3.1 两条直线平行与垂直的判定                 43        160

2.3.2 两条直线的交点坐标                       45        162

2.4 点到直线的距离                             48        166

2.5 圆的两种方程                               50         170

2.6 直线与圆、圆与圆的位置关系                 52         174

2.6.1 直线与圆的位置关系                        52         174

2.6.2 圆与圆的位置关系                          54         178

2.7 用坐标方法解决几何问题                      56         181

单元测试                                        59         184

第3章 圆锥曲线与方程                           63         190

3.1 椭圆                                         63         190

3.1.1 椭圆的标准方程（1）                         63         190

3.1.2 椭圆的标准方程（2）                         66         192

3.1.3 椭圆的简单几何性质（1）                     69         195

3.1.4 椭圆的简单几何性质（2）                     73         198

3.2 双曲线                                        76         202

3.2.1 双曲线的标准方程                            76          202

3.2.2 双曲线的简单几何性质（1）                    78         204

3.2.3 双曲线的简单几何性质（2）                    81         207

3.3 抛物线                               84              210

3.3.1 抛物线的标准方程                    84              210

3.3.2 抛物线的简单几何性质                 86             213

3.4 曲线与方程                            89              216

3.5 圆锥曲线的应用                        92              220

3.6 圆锥曲线中的定点定值问题               97             224

3.7 圆锥曲线中的取值范围问题               99             226

单元测试                                   101            227

第4章 计数原理                            106            235

4.1 两个计数原理                            106            235

4.2 排列                                    109            237

4.3 组合                                     112           239

4.4 二项式定理                               114           241

单元测试                                     117           244