1 . 下列关于直线与平面间的位置关系的命题判断正确的是( ).
A.若空间中四条直线![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
B.设![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.直线![]() ![]() ![]() ![]() |
D.已知![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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2 . 《九章算术》中,刍甍(chú méng)是一种五面体,其底面为矩形,顶部为一条平行于底面矩形的一边且小于此边的线段.在如图所示的刍甍
中,平面
平面
,
,且四边形
为等腰梯形,
,
,
,则刍甍
的体积为________ ,二面角
的余弦值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e89556992cbfd7043330ac7421d342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10eca594d6a0e6f8b7d9c2b62f9e588f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd6020b78ff385667b30088ecadeadd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08c14e87a2bcf7090eab2fea73667d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5182ba364b4b0ad24fb1d0abd86e031d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1496042c1d721cffd25053e997a9a97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf7679c8b4b1e442ce4286d4b0e9c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e89556992cbfd7043330ac7421d342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df77527db5d65c2f4a0e7d308a52530.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/11/33b536c7-fc0f-4b34-932e-ad0a5d4e8348.png?resizew=179)
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3 . 如图,在平面四边形
中,
,
,
.将该平面图形沿线
折成一个直二面角
,三棱锥
的体积为___________ ;三棱锥
的外接球的体积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134c3d2c318a33a82da4134dd17fa57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8b163d548de9079a532ea804aa1d7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7baa6217982c9372ffe0dc353b9b1f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052826487d697f9c4e1846ea6fb84c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10109d34ef06c3e721fd2c7128c5b9ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1acd314a0bede39f3a47f0d2f8613dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a810d9d9d92815734c450dd0ec301f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a810d9d9d92815734c450dd0ec301f0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/c66828ac-62df-42b8-bd58-d36f53fa5043.png?resizew=137)
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2021-05-02更新
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357次组卷
|
2卷引用:湖南省长沙市雅礼中学2021届高三下学期高考模拟(一)数学试题