名校
解题方法
1 . 已知
的三个顶点分别为
.
(1)求
的面积;
(2)求
的外接圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0de0ae18715f97f0244932abedbbb76.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2 . 已知四边形的三个顶点
,
,
.
(1)求过A,B,C三点的圆的方程.
(2)设线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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2024-01-25更新
|
66次组卷
|
2卷引用:广西贵港市2023-2024学年高二上学期期末考试数学试卷
2023高二上·江苏·专题练习
解题方法
3 . 已知
ABC的三个顶点分别为
.
(1)求边AB所在直线的方程;
(2)求边AC上的中线BD所在直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddcde904bedc7a580522062b3878934.png)
(1)求边AB所在直线的方程;
(2)求边AC上的中线BD所在直线的方程.
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2023高二上·江苏·专题练习
解题方法
4 . 已知直线l的斜率为
,且与两坐标轴围成的三角形的面积为4,求直线l的斜截式方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
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2023高二上·江苏·专题练习
解题方法
5 . 根据下列条件分别写出直线的方程,并化为一般式:
(1)斜率是
,且经过点
;
(2)斜率为
,在
轴上的截距为
;
(3)经过
,
两点;
(4)在
轴、
轴上的截距分别为
.
(1)斜率是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4665b20346a6ef3fce4d7923d78c17a7.png)
(2)斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74eb8a7738402df52d4a97262b85ca0.png)
(3)经过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2397167d25171875d0a0678163482f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5ed58d6bbf8cd29bdff986691116eb.png)
(4)在
![](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/8129d06516a3affd99ef5bc5e140f970.png)
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解题方法
6 . 平面直角坐标系中,已知
三个顶点的坐标分别为
,
,
.
(1)求
边所在的直线方程;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f1616829e649ded8b80a8837aaab79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc27522334072c7f41cc482c1c67e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83ebc472717d6ddeeeabeb6dff738a3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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7 . 已知
的边
所在的直线方程分别为
.
(1)求以点A为圆心,与圆
相切的圆的方程;
(2)若
为边
的中点,求边
所在的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47560c94b40bbb8c2b02af7f027079c5.png)
(1)求以点A为圆心,与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f4f8cb6026ec5811a7c00d0877a1a0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/708011e87fae90efc444a7477512aac0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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2024-01-06更新
|
268次组卷
|
2卷引用:山西省吕梁市孝义市2023-2024学年高二上学期12月月考数学试题
名校
解题方法
8 .
的三个顶点
,
,
,求:
(1)
边上的高所在直线方程;
(2)AC边上的中线所在直线方程及中线的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4193c0af60bce74c8f575dc8dc3ea0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc527ed77434ebd2766e322ae0703b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deaaaa0db2aa5b7bf70aabb65edbe496.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)AC边上的中线所在直线方程及中线的长度.
您最近一年使用:0次
解题方法
9 . 已知点
,
,圆
:
(
).
(1)若点
在直线
上,求
;
(2)若圆
的一条切线过原点
且与直线
平行,判断直线
与圆
的位置关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466e8c438084aef563c6aaeff3bca583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27a4371be8877c8ea2e258dc3edee060.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee17a08bea994552d9aac37abef41b34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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解题方法
10 . 求分别满足下列条件的直线l的方程,化成一般形式.
(1)经过点
,且与x轴垂直;
(2)斜率为-4,在y轴上的截距为7;
(3)经过
,
两点.
(1)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c77a42750684cb6157c2c7fb9422a3.png)
(2)斜率为-4,在y轴上的截距为7;
(3)经过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbaef0985c61e59281963e2edc0c0ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8396517c641e3dad388bf6627757611.png)
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