解题方法
1 . 已知圆O:
.
(1)求证:过圆O上点
的切线方程为
.类比前面的结论,写出过椭圆C:
上一点
的切线方程(不用证明).
(2)已知椭圆C:
,Q为直线
上任一点,过点Q作椭圆C的切线,切点分别为A、B,利用(1)的结论,求证:直线AB恒过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1410414ebd007a6aebfb75240e2b458f.png)
(1)求证:过圆O上点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22962a2ad892cb6b14ab039a06e8cdc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d340bd3f078b9261238d4fe59f1473c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/128aa322f3e76e8f03a7402bb2b2ae25.png)
(2)已知椭圆C:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
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2022-02-27更新
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4卷引用:河南省南阳市2021-2022学年高三上学期期末数学(理科)试题
河南省南阳市2021-2022学年高三上学期期末数学(理科)试题河南省南阳市2021-2022学年高三上学期期末数学(理)试题(已下线)技巧04 解答题解法与技巧(练)--第二篇 解题技巧篇-《2022年高考数学二轮复习讲练测(新高考·全国卷)》(已下线)专题36 切线与切点弦问题
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2 . 已知抛物线
与圆
,直线
与抛物线相切于
,与圆相切于![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)当
为
时,求抛物线
的方程;
(2)
上点
,求证:以
为切点的抛物线的切线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f80080fac68745fe783b879cccb6140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b1cb1359bcb061ce7737fb7e1b34f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162a5ced1df54142b07ec0befd8fbf18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3511cdc6a9b56bc1d9415d3d94ef0f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e852c2da5b495f05306d402d8a938d8a.png)
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