21-22高二·江苏·课后作业
解题方法
1 . (1)求过点
且与圆
相切的直线的方程;
(2)求过原点且与圆
相切的直线的方程;
(3)求与圆
相切,且斜率为
的直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedad6bb70631b944c69f8f0b02b35d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
(2)求过原点且与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c79d792674597a06e96c8a748654e80d.png)
(3)求与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd89a03660c85fb78bd7fe82ee3068c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
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21-22高二·全国·课后作业
解题方法
2 . 证明下述命题,并给出结论的几何解释:
(1)如果
关于直线
的对称点为
,则
的坐标为
;
(2)如果
关于直线
的对称点为
,则
的坐标为
.
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb57bb18755127be041d346444a4743e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5568579340b4a3daf3f01b6dbc4048a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15d1726b0e7b1da06a9f1443502ba38.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb57bb18755127be041d346444a4743e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad6580b23e0576b82e7233f49583ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479d4123d390d3fa753f2d59fd2d817b.png)
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21-22高二·江苏·课后作业
解题方法
3 . 如图,由原点O向直线
作垂线ON,垂足为N.设
,ON与x轴正方向所成的角为
.
的方程为
;
(2)利用上面的方程推导点
到直线
的距离公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccbb6a528a39bdc4b4496605a4d3f5cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4a19b2e42c49f3ff978d1d22e7871ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c1fbb2c0c27bd9b3bc737da0a7baa8.png)
(2)利用上面的方程推导点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc26262f7a1603369462c7c2f2197a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b6e44dd054b54f89e7c237eb1428da.png)
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