2021高二·江苏·专题练习
1 . 如图所示,M,N是圆O:
上的两个动点,线段MO的延长线与直线l:
交于点P,若
,则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/2022/1/2/2885854996611072/2935526760628224/STEM/d24a8372ddce4eeb8a7995fa9a47e691.png?resizew=142)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1cb41222d27da278a922db1cd5cb34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd3c5e3d4ff3a7d3f36570f10c69256.png)
![](https://img.xkw.com/dksih/QBM/2022/1/2/2885854996611072/2935526760628224/STEM/d24a8372ddce4eeb8a7995fa9a47e691.png?resizew=142)
A.![]() ![]() |
B.![]() ![]() |
C.![]() |
D.![]() ![]() |
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2021高二·江苏·专题练习
2 . 在平面直角坐标系xOy中,已知
的顶点分别为
,圆
为
的外接圆.
(1)求圆
的方程;
(2)设直线
与圆
交于
两点,若
,求直线l的方程;
(3)设圆
上存在点P,满足过点P向圆
作两条切线PA,PB,切点为
,四边形
的面积为10,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d02c77f359c268faa5184d6652f2703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d920b6840b19f2ae251a9f413198d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6c2c469e50b231ff7667fbc96c19ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eef4185babfbca5f05e6af495b92516.png)
(3)设圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a50c7c9f5b4cf1ef49819514fc1d3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c72229b08c676c08a3c7258895375f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515bb175135569a859e449daf2e4f04f.png)
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2021高二·江苏·专题练习
解题方法
3 . 已知直线l过点
,则下列叙述正确的选项是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
A.l在坐标轴上截距相等的方程是![]() ![]() |
B.l与圆![]() ![]() ![]() |
C.l与直线![]() ![]() |
D.点![]() ![]() |
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4 . 已知点
,
,点C在y轴上,且
,则点B到直线AC的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b4315630139326aff4ffc04c765d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c77a42750684cb6157c2c7fb9422a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d8332bf70ea360b452b85e20a7d081.png)
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20-21高三·江苏·强基计划
5 . 在直角坐标系中,纵、横坐标都是整数的点,称为整点.设k为整数,当直线
与直线
的交点为整点时,k的值可以取( )个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc66be3e49c75a366f3f8cc6172487a.png)
A.8个 | B.9个 | C.7个 | D.6个 |
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名校
6 . 在平面直角坐标系
中,方程
对应的曲线为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18fd74b5590d0a98aafbb0da161e017e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
A.曲线![]() ![]() |
B.曲线![]() |
C.曲线![]() ![]() |
D.曲线![]() ![]() ![]() |
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2021-12-11更新
|
1025次组卷
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6卷引用:江苏省南京市2021-2022学年高二上学期期中数学试题
7 . 已知直线
,
与坐标轴的交点分别为A,B,则以AB为直径的圆的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2d0e9cc6a55b1ddf0d8cc9d87b8287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6eec7d75a66a4407631f75320bb8b15.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-12-10更新
|
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2卷引用:江苏省南京师范大学附属中学2021-2022学年高二上学期12月月考数学试题
名校
解题方法
8 . 下列说法正确的有( )
A.若直线的倾斜角为![]() ![]() |
B.点![]() ![]() ![]() |
C.圆![]() ![]() |
D.若圆![]() ![]() ![]() |
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5卷引用:江苏省扬州中学2021-2022学年高二上学期12月月考数学试题
21-22高三上·江苏南通·阶段练习
解题方法
9 . 如图,
是一张三角形纸片,
,
,
,设
与
,
的交点分别为
,
,将
沿直线
折叠后,使
落在边
上的点
处.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/cf9618a5-cb67-41ae-814a-a9a2f794f654.png?resizew=97)
(1)设
,试用
表示点
到
距离;
(2)求点
到
距离的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e21aa38de80da8ccaa7ce51595e7bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52705567101a48893de582656ef41527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a99044cdedf9e67bffd16a7eeeadf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a39831e07a2014f9abeeed9ec88cf045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/cf9618a5-cb67-41ae-814a-a9a2f794f654.png?resizew=97)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8b16cdfd17c38ed8b4b3c047568a7e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
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10 . 已知双曲线
,点
的坐标为
,过
的直线
交双曲线
于点
.
(1)若直线
又过
的左焦点
,求
的值;
(2)若点
的坐标为
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9407dd040f0fc6216e18f9b28bc45d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e56c488c54149b98d84a7994e124e28.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)若直线
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd00b66dc57d147e31d6271068e50c36.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/973e19ae87ea52f2cfcd41be27aeec56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3cd639d381fb8f5675d8528ef19e0ae.png)
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2021-11-05更新
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5卷引用:江苏省南通市如皋市2021-2022学年高三上学期教学质量调研(一)数学试题
(已下线)江苏省南通市如皋市2021-2022学年高三上学期教学质量调研(一)数学试题(已下线)专题29 圆锥曲线求定值七种类型大题100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)(已下线)专题4 圆锥曲线的综合应用-学会解题之高三数学321训练体系【2022版】第3章 圆锥曲线与方程 单元检测卷新疆乌鲁木齐第六十一中学2023-2024学年高二上学期11月期中考试数学试题