1 . 如图所示的八面体的表面是由2个全等的等边三角形和6个全等的等腰梯形组成,设
,
,有以下四个结论:
①
平面
; ②
平面
;
③直线
与
成角的余弦值为
④直线
与平面
所成角的正弦值为
.
其中正确结论的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/34f390e6-ecea-44bc-8ad5-62f5deb3aaf8.png?resizew=195)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1bdb08d371f24f7b4aeae53f292050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c50346190b81576e0d891456af44490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780d4680b5fd79c9734c4439e28cdf3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7312cd653ef43a6ab81dd5da81cac779.png)
③直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c8b7a498f2fa0820ad123a8756ce64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6c7567972273b4ba733b47bf9d5408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fd6a02542c1ee2d2a60ea0a9ce7e82d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
其中正确结论的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/34f390e6-ecea-44bc-8ad5-62f5deb3aaf8.png?resizew=195)
A.1 | B.2 | C.3 | D.4 |
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解题方法
2 . 如图,在四棱锥
中,底面
为矩形,
是等边三角形,平面
底面
,
,四棱锥
的体积为
,
为
的中点.直线
与平面
所成角的正弦值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/a5c1de06-7ddf-45de-ac91-e31e5501f997.png?resizew=214)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177678001b2ccde1db8f57fa5e017002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342d452a7b850cd3a15b23619ad39bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9bb52bec7f09eaf568dca3b4a4fc717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/a5c1de06-7ddf-45de-ac91-e31e5501f997.png?resizew=214)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 如图,在四棱锥
中,底面
为矩形,
是等边三角形,平面
底面
,
,四棱锥
的体积为
,E为PC的中点.平面
与平面
所成二面角的正切值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/12/e0e61dc6-ebfa-4a71-9761-c99ae026d8fe.png?resizew=159)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177678001b2ccde1db8f57fa5e017002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342d452a7b850cd3a15b23619ad39bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9bb52bec7f09eaf568dca3b4a4fc717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/12/e0e61dc6-ebfa-4a71-9761-c99ae026d8fe.png?resizew=159)
A.2 | B.![]() | C.![]() | D.1 |
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解题方法
4 . 已知m,n是两条不同的直线,
是平面,则下列四个结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() | D.若m,n与![]() ![]() |
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5 . 已知函数
.关于函数
的单调性,下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e2529beb56d8500463a6585e4cc86a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2023-03-11更新
|
1148次组卷
|
4卷引用:2023年河北省普通高中学业水平合格性考试数学试题
6 . 在
中,若
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1469989af1c27f3ac325dc0b36489747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72511f149a1b13af02d0e1421d3a63a5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 若圆锥的底面半径为3,体积为
,则此圆锥的侧面展开图的圆心角是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256e1cf75122ef66ae16a298df1da84d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-03-11更新
|
1060次组卷
|
3卷引用:2023年河北省普通高中学业水平合格性考试数学试题
解题方法
8 . 若二次函数
满足:①
是偶函数;②在x轴上截得的弦长为2;③与函数
的图象有两个不同的交点,则实数m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab93efd42a3054040ccff8adf697c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c3dd8fa2dc8c0c7e255bfb054ad34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a980f4b91ef34311433a766cf4cd456.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 若
,
,
,则a,b,c三者的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43760df1dc1a53d5256938f7dd134165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4baa684269a08f2b31ad0d2a473d34a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b80a0557c547f6706176dccb5bf0d16.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-02-23更新
|
513次组卷
|
4卷引用:河北专版 学业水平测试 普通高中学业水平合格性考试模拟试卷(四)
解题方法
10 . 如图,已知
矩形ABCD所在平面,BD与AC相交于O点,M,N分别是AB,PC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/26/2c4b43ec-9728-4400-943d-396e14ffe2a3.png?resizew=185)
(1)求证:
平面PAD;
(2)若
,求证:
平面PCD.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/26/2c4b43ec-9728-4400-943d-396e14ffe2a3.png?resizew=185)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53fa5dcaf5a25118ccb7af76d5fff2b8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0498b9374bee2169d323c3bd8d2d23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93cf663ee2bf1ac5c43f4306fa0cf250.png)
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