1 . 直线
与直线
平行,且直线
过点
,则直线
和
的距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61071a8c6732087b6d2757d39133d03c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd243fab0af865af67a2ab817e909cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知△ABC中,
,
.
(1)若
,求BC边上的高AD所在直线方程的一般式;
(2)若点
为边
的中点,求BC边所在直线方程的一般式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ebd2da016e7029c4dd72b9e377190c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9087a172288f3e733a894e76ec160b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c0c66058dced5a4bf780ed01c1ee71.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0fe3f68cbbcc907caab5083d08df301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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3 . 如图所示, △ABC的三条边长分别为
,
,
,现将此三角形以
边所在直线为轴旋转一周,则所得几何体的表面积为
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/30133340-a893-4b98-938d-a5c72d663490.png?resizew=183)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/30133340-a893-4b98-938d-a5c72d663490.png?resizew=183)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知圆
:
,若直线
与圆
相切,则实数
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a392337c91fd9fe51f670e2249dc4857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5335ec74d28c089f53dfce404108f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 若命题“
:
,
”为真命题,则实数
的取值范围是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/054d0cf570b7942dcb1d2cc02fa83553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6 . 设
分别是双曲线
的左右焦点,圆
与双曲线在第一象限交于点
,若
,则此双曲线的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475a3fdc7b27d5ffa8c864dc478903d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26edd7d076460e7aa7e8f319cb2be370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9de797542282a5e1e5496e14de4e9ee.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知角
的终边经过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e888ea14da893971e13858945bf0cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c73f51e17953db051064344cb725c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e888ea14da893971e13858945bf0cd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
8 . 将函数
图象向左平移
个单位,所得函数图象的一个对称中心是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2add4179236c012f234fbdf47eccc8b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
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名校
9 . 已知
,方程
有三个实根
,若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8d35e1c59d56e86bf4175b3339d163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03dd8d0f2ac4f82c9a0b8b638a31e6b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bae693ec8278a5f58db49a88145f94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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10 . 已知向量
,
,若
,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea36c1dc24f71923d1a1b9eadbb3a34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8917b54074560b2a447bb80efa86e94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d6c24f9a5f8b191e46084743d60af3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() ![]() | B.![]() | C.![]() | D.![]() |
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