高中数学:圆锥曲线8大类题型突破
题型1:圆锥曲线的定义及标准方程
![](http://pic.ikafan.com/imgp/L3Byb3h5L2h0dHBzL2ltYWdlMTA5LjM2MGRvYy5jbi9Eb3dubG9hZEltZy8yMDIxLzAzLzAyMjIvMjE2NzExNjI1XzFfMjAyMTAzMDIxMDQxNTI3MjQ=.jpg)
![](http://pic.ikafan.com/imgp/L3Byb3h5L2h0dHBzL2ltYWdlMTA5LjM2MGRvYy5jbi9Eb3dubG9hZEltZy8yMDIxLzAzLzAyMjIvMjE2NzExNjI1XzJfMjAyMTAzMDIxMDQxNTI4MzM=.jpg)
![](http://pic.ikafan.com/imgp/L3Byb3h5L2h0dHBzL2ltYWdlMTA5LjM2MGRvYy5jbi9Eb3dubG9hZEltZy8yMDIxLzAzLzAyMjIvMjE2NzExNjI1XzNfMjAyMTAzMDIxMDQxNTI5MTI=.jpg)
题型2:中点弦问题
1、求中点弦所在直线方程问题
![](http://pic.ikafan.com/imgp/L3Byb3h5L2h0dHBzL2ltYWdlMTA5LjM2MGRvYy5jbi9Eb3dubG9hZEltZy8yMDIxLzAzLzAyMjIvMjE2NzExNjI1XzRfMjAyMTAzMDIxMDQxNTM5OQ==.jpg)
![](http://pic.ikafan.com/imgp/L3Byb3h5L2h0dHBzL2ltYWdlMTA5LjM2MGRvYy5jbi9Eb3dubG9hZEltZy8yMDIxLzAzLzAyMjIvMjE2NzExNjI1XzVfMjAyMTAzMDIxMDQxNTMyMTA=.jpg)
2、 求弦中点的轨迹方程问题
![](http://pic.ikafan.com/imgp/L3Byb3h5L2h0dHAvaW1hZ2UxMDkuMzYwZG9jLmNuL0Rvd25sb2FkSW1nLzIwMjEvMDMvMDIyMi8yMTY3MTE2MjVfNl8yMDIxMDMwMjEwNDE1MzI3MQ==.jpg)
3、 弦中点的坐标问题
![](http://pic.ikafan.com/imgp/L3Byb3h5L2h0dHAvaW1hZ2UxMDkuMzYwZG9jLmNuL0Rvd25sb2FkSW1nLzIwMjEvMDMvMDIyMi8yMTY3MTE2MjVfN18yMDIxMDMwMjEwNDE1MzQ1OA==.jpg)
![](http://pic.ikafan.com/imgp/L3Byb3h5L2h0dHAvaW1hZ2UxMDkuMzYwZG9jLmNuL0Rvd25sb2FkSW1nLzIwMjEvMDMvMDIyMi8yMTY3MTE2MjVfOF8yMDIxMDMwMjEwNDE1MzUyMQ==.jpg)
题型3: 离心率的取值范围
![](http://n4.ikafan.com/assetsj/blank.gif)
题型4:动点轨迹方程6大方法
1、直接法
![](http://n4.ikafan.com/assetsj/blank.gif)
![](http://n4.ikafan.com/assetsj/blank.gif)
2、待定系数法
![](http://n4.ikafan.com/assetsj/blank.gif)
3、定义法
![](http://n4.ikafan.com/assetsj/blank.gif)
![](http://n4.ikafan.com/assetsj/blank.gif)
4、代入法
![](http://n4.ikafan.com/assetsj/blank.gif)
5、参数法
![](http://n4.ikafan.com/assetsj/blank.gif)
6、交轨法
![](http://n4.ikafan.com/assetsj/blank.gif)
题型5:直线与曲线交点问题
![](http://n4.ikafan.com/assetsj/blank.gif)
![](http://n4.ikafan.com/assetsj/blank.gif)
![](http://n4.ikafan.com/assetsj/blank.gif)
![](http://n4.ikafan.com/assetsj/blank.gif)
题型6:圆锥曲线中的最值问题
![](http://n4.ikafan.com/assetsj/blank.gif)
![](http://n4.ikafan.com/assetsj/blank.gif)
题型7:圆锥曲线关于直线对称的问题
![](http://n4.ikafan.com/assetsj/blank.gif)
![](http://n4.ikafan.com/assetsj/blank.gif)
题型8:存在性问题
![](http://n4.ikafan.com/assetsj/blank.gif)
![](http://n4.ikafan.com/assetsj/blank.gif)
![](http://n4.ikafan.com/assetsj/blank.gif)
![](http://n4.ikafan.com/assetsj/blank.gif)
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题型1:圆锥曲线的定义及标准方程
题型2:中点弦问题
1、求中点弦所在直线方程问题
2、 求弦中点的轨迹方程问题
3、 弦中点的坐标问题
题型3: 离心率的取值范围
题型4:动点轨迹方程6大方法
1、直接法
2、待定系数法
3、定义法
4、代入法
5、参数法
6、交轨法
题型5:直线与曲线交点问题
题型6:圆锥曲线中的最值问题
题型7:圆锥曲线关于直线对称的问题
题型8:存在性问题