1 . (1)若直线
的斜率存在,则直线
的斜率
与倾斜角
的关系为______________ .
(2)斜率存在的两条的直线
,
(其中
),若
,则_____________ ;若
,则__________ .
(3)
,
,则
两点的中点坐标为_________________ .
(4)已知点
,直线
(其中
不全为0),那么点
到直线
的距离公式为:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
__________ .(其中
不全为0)
(5)圆的半径
,圆心到直线的距离
,若圆与直线相切,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
____
;若直线与圆相交,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
____
;直线与圆相交的弦长![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050294162a78c6f4d6a87849bd3049a3.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)斜率存在的两条的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4211831377655be51acaf182280085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266e3689cc366d5f0a7718ce9c20e818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/222f64d83170dc4dbab1e9cfb6924720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(4)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2206f341b1ae7d0f7f6d838b09c0b21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(5)圆的半径
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050294162a78c6f4d6a87849bd3049a3.png)
您最近半年使用:0次
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解题方法
2 . 已知双曲线C:
与x轴的正半轴交于点M,动直线l与双曲线C交于A,B两点,当l过双曲线C的右焦点且垂直于x轴时,
,O为坐标原点.
(1)求双曲线C的方程;
(2)若
,求点M到直线l距离的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68126ccac0c47e9f279f92957f7aae51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a63dc3bca26206728712dbc9fb259247.png)
(1)求双曲线C的方程;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15148cae568d8960c62a4d0eddf5b03b.png)
您最近半年使用:0次
2022-11-26更新
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788次组卷
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4卷引用:河南省南阳市宛城区第五中学校2022-2023学年高二上学期12月月考数学试题