名校
1 . 在边长为2的正方体
中,动点
满足
,
且
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b93364f416d0ceadcc84387ae12e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722cf568777f083d83424c02c5890825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f59b580adf6193c35d22749499280a.png)
A.当![]() ![]() ![]() |
B.当![]() ![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-02-24更新
|
2096次组卷
|
6卷引用:湖南省邵阳市邵东市第一中学2023-2024学年高二下学期3月月考数学试题
湖南省邵阳市邵东市第一中学2023-2024学年高二下学期3月月考数学试题广西壮族自治区南宁市第三中学、柳州高级中学2024届高三下学期一轮复习诊断性联考数学试卷(已下线)专题04 立体几何(已下线)压轴小题7 探究立体几何中的动态问题(已下线)压轴题04立体几何压轴题10题型汇总-1河南省信阳市新县高级中学2024届高三考前第六次适应性考试数学试题
名校
2 . 如图,在棱长为1的正方体
中,
分别是
的中点,则以下说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b199a99e53d67ff4abf233930961a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/744096649aef7e210b191091e9f6c51b.png)
A.![]() |
B.直线EG与平面ABCD所成角的正弦值为![]() |
C.异面直线EG和BC所成角的余弦值为![]() |
D.若动直线A1M与直线AC的夹角为30°,且与平面EFG交于点M,则点M的轨迹构成的图形的面积为![]() |
您最近一年使用:0次
2023-12-25更新
|
601次组卷
|
2卷引用:湖南省岳阳市2024届高三下学期考情信息卷数学试题
解题方法
3 . 如图,在直棱柱
中,各棱长均为2,
,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/15/97c35a2c-7e95-423a-9a0e-9e754b0f8590.png?resizew=240)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5a86745bfe1dfe7bc2683811210330.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/15/97c35a2c-7e95-423a-9a0e-9e754b0f8590.png?resizew=240)
A.三棱锥![]() ![]() |
B.异面直线![]() ![]() ![]() |
C.当点M在棱![]() ![]() ![]() |
D.N是![]() ![]() ![]() |
您最近一年使用:0次
4 . 已知四棱锥
中
平面
,点
在棱
上,且
,底面为直角梯形,![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/dc1a04d126e245b7978e9db0708bd83a.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/212a9e649b8b4fe1b1f9e963e242710a.png)
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/f223bb1e-f3a0-4009-9452-350a9f39b765.png?resizew=201)
(1)求证:
// 平面
;
(2)求截面
与底面
所成二面角的大小.
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/78e41c3951f44ae9bed12953b5af0e21.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/fcfae3e2fb5941a4b38679a93fbdc91f.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/e6b76701eee24dd78f6b403137fe796d.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/1547ca698ee84685bec47ab390ac2818.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/0d5c757d2c8d4ed3a1538c62e98aca52.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/692a642a25ea4f3386a9d6491130193d.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/dc1a04d126e245b7978e9db0708bd83a.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/212a9e649b8b4fe1b1f9e963e242710a.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/6617eb787baf4636a292f54fe876832e.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/4a2af18f13144f979a856efbf3f9f571.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/f223bb1e-f3a0-4009-9452-350a9f39b765.png?resizew=201)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/7b8df0584a2f44689b89e092ea1d5362.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/29e1c9e068d2413091c3a9029cf585d2.png)
(2)求截面
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/f47c36a9715048b8bea5e8e9c3bd3d51.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470328180736/1572470333472768/STEM/e6b76701eee24dd78f6b403137fe796d.png)
您最近一年使用:0次
5 . 如图,在三棱锥
中,△
和△
都为正三角形且
,
,
,
,
分别是棱
,
,
的中点,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/d7f944b3bd4e457f9d34a9a1387668a7.png)
(1)求异面直线
和
所成的角的大小;
(2)求证:直线
平面
.
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/08422550e5974a7c91b4c9c8df15d6ae.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/94c27bc1423843bd8d885e226158b0c0.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/6fb458442dfb4e048ace4a627c4d7e15.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/1da9da78d8f44bb09e3c662bc301dfd1.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/55e6cb6bc57e4848a939b1fea46f9dc4.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/85026d17a7cd4451927589018cc0281f.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/cb5a8c69748c4679a6b70aa027404b67.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/507bf9e90a664ad7bda33de205fbe399.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/1434dad3ff86438d98cffbece1c79902.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/e0df958b22334d1798984ade9287b6df.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/7f8388b1a0554b2a9a1ffc88550b174d.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/07bc817ac55248f3b04fb05f37f6ca54.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/0a12ea92b75247e799fe8e9c24364c19.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/d7f944b3bd4e457f9d34a9a1387668a7.png)
(1)求异面直线
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/58f66f904d93494287da5ca092189a09.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/73c70a72e2fe43c79baefb5935ca72c8.png)
(2)求证:直线
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/bfad468fcc8d4b4582af38a9871e69d9.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467488571392/1572467494404096/STEM/bbe60e2b9bde49abbcce104340c1edcb.png)
您最近一年使用:0次