名校
1 . 已知点
是圆
上一点,直线
交圆
于
两点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3e36bb606fc84bf1f1251a3cb876b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2de83daa8e3367c3b2e6a3f493cfeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bce45bf68da797e64cf8234fac54a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ff46fe09a2d868514e16706f96565f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf4bb626270794de4e87e0675837db7.png)
A.0 | B.1 | C.![]() | D.![]() |
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2 . 平面直角坐标系中,任意两点
,
,定义
为“A,B两点间的距离”,定义
为“A,B两点间的曼哈顿距离”,已知
为坐标原点,
为平面直角坐标系中的动点,且
,则
的最小值为__________ .
![](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/e1ddb75af40f5eaaf455d676ea796cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5f094721b6e9bcbdf553d744660b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1a9821a00b71f6b7d7a76d91b3f810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977eae533aa55fd5ce37c7c00994eafa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43453740b1c08738a33d213951308ea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cfd4323427a5ad881ffda2816d42c55.png)
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解题方法
3 . 达·芬奇方砖是在正六边形上画了具有视觉效果的正方体图案,如图1,把三片这样的达·芬奇方砖拼成图2的组合,这个组合再转化为图3所示的几何体,图3中每个正方体的棱长为1,E,F为棱
,AB的中点,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/25/fd3c49c3-5e41-456e-bea6-0e77d5c08723.png?resizew=377)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/25/fd3c49c3-5e41-456e-bea6-0e77d5c08723.png?resizew=377)
A.点P到直线CQ的距离为2 |
B.直线![]() ![]() |
C.平面![]() ![]() ![]() |
D.平面![]() ![]() ![]() |
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4 . 若双曲线
的一个焦点
关于其一条渐近线的对称点
在双曲线上,且直线
与圆
相切,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49137970108f50350a3211aa0281faaf.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() |
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解题方法
5 . 已知双曲线
:
的离心率为
,左,右焦点分别为
,
,
关于
的一条渐近线的对称点为
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26ce8a486d789c2e138296b62747059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
A.4 | B.![]() | C.2 | D.1 |
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6 . 设点
是曲线
上一点,则点
到直线
最小的距离为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ec087e5a282a4bfa9fba07e456695c9.png)
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2024-05-08更新
|
228次组卷
|
2卷引用:广东省广州市执信中学2023-2024学年高二下学期5月月考数学试卷
2024·全国·模拟预测
名校
7 . 已知直线
与圆
,过直线
上的任意一点
作圆
的切线PA,PB,切点分别为A,B,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3497af3942a788b64c6b91b62a8dbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 已知直线l:
,圆C:
,则直线l被圆C所截得的线段的长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fd72f36c81a55cafa92739ee87f743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d22c68d17bc1ba129e6ab3f3b39ec4e.png)
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9 . 已知
,则y的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed12348ff06d4a2fddb240bc2fd3514.png)
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10 . 已知直线l与圆
相交于A,B两点,且弦的中点为
,若直线
与l垂直,则实数a的值是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345ce8cd12e7a9d0661f143bc2ddda46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03193aaea57bc6f935f2c299ecc2a238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a58518a9123df6b9ea048462c343a0c.png)
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