名校
解题方法
1 . 已知直线
,圆
的方程为
,下列表述正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005984746b76c9f36cd1a90ea137db9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae47f4aad78bf3ff71a509679a1c4691.png)
A.当实数![]() ![]() ![]() |
B.当直线![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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名校
2 .
是圆
上的动点,则点
到直线
的距离最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/581deb894aeb4b79cafc1a1b6394e875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb88174dfa613edc2b547c40a76fb8b.png)
A.2 | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . 已知
,
,直线
:
,
:
,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0627868a3e4abafb8703ab9975dc392f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e8bf17e184121a82e50ea5af4181e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f008cea432b68934066d32243ccf69bf.png)
A.2 | B.4 | C.8 | D.16 |
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2024-04-07更新
|
378次组卷
|
2卷引用:湖南省衡阳市衡阳县第一中学2023-2024学年高二下学期4月期中考试数学试题
名校
解题方法
4 . 已知直线
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ad198b1dece0205f0dcf4005bff9cf.png)
A.直线![]() ![]() | B.直线![]() ![]() |
C.若直线![]() ![]() | D.过![]() ![]() ![]() |
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2024-01-26更新
|
721次组卷
|
5卷引用:湖南省邵阳市新邵县第三中学2023-2024学年高二上学期期中数学试题
解题方法
5 . 回答下面两题
(1)求过
,
两点的一般式方程;
(2)求过点
且与直线
:
平行的直线.
(1)求过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10d362b95ce7ac5b18fb4d1037fce59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7727391bd56839d2b8d6879b8e6bf89d.png)
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6646e758862a34d89ee14de8a1ea13b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc404b71b2b8f159d548973453a9d161.png)
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6 . 回答下面两题
(1)求直线
:
,
:
的交点坐标;
(2)求点
到直线
:
的距离;
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23fc11a3a7592c68b20f93bdde2ed3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8bf4c5441af2933c5bd4422b3dfad28.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8902bff3e60ecebdcd71bb2ee8bb97b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895fa47a776962dd68b3ff39812cad9b.png)
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2023-12-31更新
|
636次组卷
|
2卷引用:湖南省邵阳市新邵县第二中学2023-2024学年高二上学期期中数学试题
名校
7 . 已知圆
,直线
.
(1)求直线
恒过定点的坐标;
(2)求直线
被圆
截得的弦长最短时
的值以及最短弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198381d98cbb47350fa1220a396405a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e70459e98bd20618c7010ddd5df072.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求直线
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-12-26更新
|
353次组卷
|
2卷引用:湖南省株洲市第一中学2021-2022学年高二上学期期中测试数学试卷
解题方法
8 . 已知
的三个顶点分别为
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/20/9d07a541-0e20-430f-862d-227ef916024b.png?resizew=153)
(1)求边
和
所在直线的方程;
(2)求
边上的中线
所在直线与坐标轴围成的三角形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c84818cfbd9a885081cb4e3294eabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4ebc3dc098579ddc878dc48d5f38c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e605e2f3342a51de9b4110eef557419.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/20/9d07a541-0e20-430f-862d-227ef916024b.png?resizew=153)
(1)求边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
名校
解题方法
9 . 已知三角形的三个顶点
,
,
.
(1)求
边的中垂线所在直线的方程;
(2)求△ABC的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d71fb4d3db6c9922d3b605a6d40e529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcfce809e35760212e25a2acb43e62d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5558ffa6dc28d437c0467c7f361d444.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)求△ABC的面积.
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名校
10 . 已知圆
,直线
.
(1)求证直线
恒过定点;
(2)直线
被圆
截得的弦长最短时
的值以及最短弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad9bf37505294c57309a6c650c128c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e70459e98bd20618c7010ddd5df072.png)
(1)求证直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)直线
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
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