1 . 已知⨀
:
,⨀
:
,
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3184a98a1894ed42c97ee6131695ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2519b1432a93205dfabb0a12b3bb43a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d35387a8d80d5f4654923336ccb65b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90295576220b73c8dc06d35a5e61967e.png)
A.若![]() ![]() ![]() ![]() ![]() |
B.当![]() ![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.若⨀![]() ![]() ![]() |
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2 . 三条侧棱两两垂直的三棱锥往往称为直三棱锥,在直三棱锥
中,
两两垂直.
(1)设直三棱锥
外接球的半径为
,证明:
;
(2)若直三棱锥
外接球的表面积为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4697e1b0bc8288d139a7a431f17598b.png)
(1)设直三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284e675285234caa93c31b2a8068635a.png)
(2)若直三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178ec48ec6dec55778c74962a928d600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a0b194b9002709884ce1fdbd207879.png)
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3 . 下列命题中,是真命题的是( )
A.函数![]() ![]() |
B.![]() |
C.已知![]() ![]() ![]() ![]() |
D.如果2弧度的圆心角所对的弦长为4,那么这个圆心角所对的弧长为![]() |
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2023-02-16更新
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4 . 已知过原点
的两条直线
相互垂直,且
的倾斜角小于
的倾斜角.
(1)若
与
关于直线
对称,求
和
的倾斜角
(2)若
都不过点
,过
分别作
为垂足,当
的面积最大时.求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc81cfaccc00aa4b7139de5a35a102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea1f5bdd213c7c3a571b4c38850bf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d5dc0cfe7972d54a181f39e22c0c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
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2022-10-14更新
|
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