名校
1 . 在平行六面体
中,
,
.
满足:
,求
;
(2)求平面
与平面
所成夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cead0e8eadfdcefa334953e88864f424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d13ecb54b1006051d2561327aa4755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79229606d05f53c89b900e37c5cb6f6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d5b5776371df4d28cbc7a791053e8f8.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bf9ef324f1289e205e29fed105c38e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
您最近一年使用:0次
解题方法
2 . 如图,矩形
是圆柱
的轴截面,
分别是上、下底面圆周上的点,且
.
;
(2)若四边形
为正方形,求平面
与平面
夹角的正弦值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abbe2aba242716238b79c46bb1f40e88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25ac7d48390e804f9d11597b26f14a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1089f40864a8ec79bf544ab7ff1cc43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2612c3ed33135b60b5a08c173c9f84.png)
(2)若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2330c01a4d2b5b20f106e3e48834d5c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20af148464904e21f4374cc8fb886fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
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名校
解题方法
3 . 四棱锥
的底面为正方形,
底面
,
,
,
,平面
平面
,
平面
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b624742fe28db114e0554c6c87bff05c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d5036676ff9363a8356f9d0ee6b6c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c66f38ce2090dab15ac1207c0a65b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64899adb2cc8913ed7d511eade821422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3e61111c1e9b98b79615f75540175c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757489b22e7c59387705e75c8d28d902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dabd94d9a9bde8d08c35af0b3d02ee3b.png)
A.直线![]() ![]() |
B.![]() |
C.![]() |
D.三棱锥![]() ![]() |
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2024-04-29更新
|
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解题方法
4 . 在四面体
中,
,
,
,设四面体
与四面体
的体积分别为
、
,则
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a351136b18bc7d3bd5122332772ab23b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8c3adfb5c3cb6dd9ba688856e2dd0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90592be71b12efb676770f65d68596f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d1bb96d6663c8cdbf43ba53e1505e1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a351136b18bc7d3bd5122332772ab23b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f107bd06ad6af2ff8d5aaa9ace12d9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4764374bd2fb78e59cd0b283637baeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63055a5d6916f99d07fede49120753f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae00abada46919dffcfb342971dcdabd.png)
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5 . 如图,在正三棱柱
中,
为空间一动点,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b68c8e30370f61d3e807e51c55f3258.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.存在![]() ![]() |
D.存在![]() ![]() ![]() ![]() |
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名校
解题方法
6 . 正三棱锥
中,底面边长
,侧棱
,向量
,
满足
,
,则
的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da3fdf44b48a0d66b87441fc699cab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b396937ce186ccb792210cb7b852f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ca854e782895e8f5f08a65dce610c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e6f98f23fea7db0f74897928024ca0.png)
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解题方法
7 . 如图,在平行四边形中,
,
,且EF交AC于点G,现沿折痕AC将
折起,直至满足条件
,此时EF的长度为
您最近一年使用:0次
8 . 在三棱柱
中,
,
,且
平面
,则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d74b1d0480790400a9223e4437afdba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7dc14ef100b26679193fb93f3a8b5c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f214481e6b23307a37940f6dd0313d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4e7552a39c412d882766dbcd7eeb69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
9 . 已知圆锥
的底面半径为
,高为1,其中
为底面圆心,
是底面圆的一条直径,若点
在圆锥
的侧面上运动,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cfef623a9534b5708df5f95f1760a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cfef623a9534b5708df5f95f1760a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
10 . 已知三棱锥
的体积为
是空间中一点,
,则三棱锥
的体积是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943032df8db30f2c52335b0fff28ce6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5923ce2c5d69a5d50e694dc83ae661e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec8fa1baf58d104867f595c15c001c1.png)
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2024-03-03更新
|
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