2024高三·全国·专题练习
解题方法
1 . 已知直线
过定点
,
与
轴正半轴、
轴正半轴分别交于
两点,且
.
(1)求直线
的倾斜角
的值;
(2)若以
为圆心的圆与直线
相切,求圆
的半径
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13bf66fc845b115de4ec45b4be0e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320744c7232b7deb546fadb0948cf61c.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)若以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743c08b3555fca31cd299d6d90242fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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2024高二·全国·专题练习
2 . 已知直线
经过点
,且与线段MN相交,又
,
,求直线
的斜率k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eba820e33b03065f2d546e9aea0b7e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26b473284bfeea6b4355a36ede4a8ba8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e99b7fb5d911e9981c97af0ec792cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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23-24高二上·全国·期中
3 . 已知△ABC的三个顶点为
.
(1)求AC边上的高BD所在直线的方程;
(2)求△ABC的外接圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91a19608ba40a2dd7b1c08a051ee609.png)
(1)求AC边上的高BD所在直线的方程;
(2)求△ABC的外接圆的方程.
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23-24高二上·全国·课后作业
名校
解题方法
4 . 已知直线l的方程是
.
(1)求直线l的斜率和倾斜角;
(2)求过点
且与直线l平行的直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51a003a5de6ad7e02bbb63059b5fa818.png)
(1)求直线l的斜率和倾斜角;
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e804b1e317dcaead003fabaf01d407ff.png)
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23-24高二上·全国·课后作业
5 . 已知直线
与
向上的方向所成的角为
,若
的倾斜角为
,求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e283d58ea8a48989988ce61df58688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aee6e4e9350a2665df8597ff8045bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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23-24高二上·全国·课后作业
6 . 经过下列两点的直线的斜率是否存在?如果存在,求其斜率,并确定直线的倾斜角
.
(1)
,
;
(2)
,
;
(3)
,
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b2cc0d2f6d3eee9a33db83e0c0830d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d8638349bba38af6d6d53a55634626.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01e555bf9cbc0a88f92dbf05166add2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/001fe54eb2b744a452aaba340542d094.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5a04f5d984629e8c09c061282ef5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5793d7cb40629e640fb706e16b2b2890.png)
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23-24高二上·全国·课后作业
7 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a6bb5ce0a3b8f3689acf8a35e69884.png)
(1)求直线AB的斜率k;
(2)已知实数
,求直线AB的倾斜角
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a6bb5ce0a3b8f3689acf8a35e69884.png)
(1)求直线AB的斜率k;
(2)已知实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0d9131c417c0856de2486aac43cb534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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23-24高二上·全国·课后作业
8 . 已知坐标平面内三点
.
(1)求直线
的斜率和倾斜角;
(2)若
是线段
上一动点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbc7b6e7a079db5fc1a72ff5e36be36.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dbd8408efb06329ffa9841a9e37edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb3ec17ede8834d8193d7d52a9650d4.png)
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23-24高二上·全国·课后作业
9 . (1)如图,直线
的倾斜角
,直线
,求
,
的斜率;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/20/5c58929c-96b5-4281-bb0b-ec86c1ef2583.png?resizew=182)
(2)求经过两点
,
的直线的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6c2ad4a495aed8cc891f39bb36065f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/20/5c58929c-96b5-4281-bb0b-ec86c1ef2583.png?resizew=182)
(2)求经过两点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea77904446ed289b8750a23111c3229c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffd29280a433c495dd107e302042e65.png)
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