解题方法
1 . 在直三棱柱
中,四边形
是边长为3的正方形,
,
,点
分别是棱
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/cd310c53-ba9e-4d45-8b70-1aecc6b5f8ed.png?resizew=151)
(1)求
的值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269c684310d0f7b5b9bf0a291e7ee748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4dfea6353fc25e88535e865a4982cb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/cd310c53-ba9e-4d45-8b70-1aecc6b5f8ed.png?resizew=151)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfb6876bfebf8175326c61d394cdbb2.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4999d4fbcbe15f78c29d518f25d317c2.png)
您最近一年使用:0次
2 . 在空间直角坐标系Oxyz中,
,
,若直线AB与平面xOy交于点
,点P的轨迹方程为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6377767f356676a837aff1b90ef3749c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c231fdd1209eca78428f4b2fd803c31e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7836750ff40c856e6aeb9ce0e239895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad86ba09055ed2abe5b4299463b7b74b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
A.1 | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
解题方法
3 . 在正三棱柱
中,
为
的中点,
分别为线段
,
上的动点,且
,则线段
的长度的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99ef164a99282e74b20006c45cbbeec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460a9dc7a32cc7fa60fe5b8479d48924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-28更新
|
141次组卷
|
3卷引用:河南省许平汝名校2023-2024学年高二下学期开学考试数学试题
解题方法
4 . 如图,正三棱柱
的底面边长为2,侧棱长为
为
的中点,设
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6964ad1780cc303b1fa5c01ccffc987f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a4ff8e9c73a9c9296cae19c3984a3b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/fe92dc3a-1c0b-44c7-bacf-c7d2b61493b1.png?resizew=119)
您最近一年使用:0次
名校
解题方法
5 . 如图,正三棱锥
中,三条侧棱
两两垂直且相等,
为
的中点,
为平面
内一动点,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bb1063e139610045f3bca5ca0b2766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7f4df2accca6fd8205f125a571a807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180704fa9e59ad3826f173d4ffc9eb26.png)
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2024-02-05更新
|
317次组卷
|
3卷引用:江西省九江市2023-2024学年高二上学期期末考试数学试题
江西省九江市2023-2024学年高二上学期期末考试数学试题(已下线)广东省深圳市深圳外国语学校2024届高三上学期第二次模拟测试数学试题变式题11-16浙江省温州中学2023-2024学年高一下学期期中考试数学试题
6 . 在空间直角坐标系
中,点
,点C是点
关于
轴的对称点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83924aeb1c6b343a47778a5fd28bb4dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf4be4645450c8158fba2d590e3a27c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08116a14a39a7007c81602c4f048a33b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a07c5e53e22ead3d77202c40b856a1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 空间内有三点
,
,
,则点
到
的中点
的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4e6ad7d37cde2e3dc9ec85b8aebea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc7f1fec14d31461b846400b10ad7ba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b34b0240a599afb4955a2bc26b4bd2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-03更新
|
254次组卷
|
2卷引用:浙江省宁波市奉化区2023-2024学年高二上学期期末检测数学试题
8 . 在空间直角坐标系
中, 已知点
关于平面
的对称点为
,关于原点
的对称点为
,则
与
的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df823adb99fd5d6483a261db6bd2e0ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.0 | B.2 | C.4 | D.8 |
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2024-01-05更新
|
365次组卷
|
2卷引用:四川省成都市棠湖外国语学校2023-2024学年高二上学期期末模拟质量检测数学试题
9 . 在空间直角坐标系
中,点
,点
关于
轴对称的点为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a04a289e8602f3a26ee199e64dd6c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866aa11c73d426cc2efef37aebb39f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a70fd837c70b944a66450bbcf6946bc.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
解题方法
10 . 如图,在直三棱柱
中,
,
,
在线段
上且
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/aae3be52-d847-4683-9814-faa377f67a66.png?resizew=139)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf6c80edb989cd755d5850d077b5de02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4305d8d52fe2cc79c78129652e64bb62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/aae3be52-d847-4683-9814-faa377f67a66.png?resizew=139)
A.![]() |
B.四棱锥![]() ![]() |
C.三棱锥![]() ![]() |
D.三棱锥![]() ![]() |
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