解题方法
1 . 在三棱锥
中,
平面
,
,
,
,
分别是棱
,
,
的中点,
,
,则直线
与平面
所成角的余弦值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab2c27eac56fffa4cd7dbe1dcdf1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
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解题方法
2 . 如图,在空间直角坐标系
中,正方形
与矩形
所在平面互相垂直(
与原点
重合),
在
上,且
平面
,则
点的坐标为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/4/7f81f22c-3080-4950-b4eb-f0de029f279f.png?resizew=187)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4b93d7abcfc4c3df48f03aa969c17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdbc4482145feccd25000e1ab5ee0a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f33fa5152ba27f7b8a28890cefca219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/4/7f81f22c-3080-4950-b4eb-f0de029f279f.png?resizew=187)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知函数
.
(1)求
的单调区间;
(2)求
在
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c381dc550fb762132d9c38da88b6e306.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6bfefa5b41faae17987876d570685d.png)
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4 . 下列各式正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 已知平面
外的直线l的方向向量为
,平面
的一个法向量为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7faaae12f61344a73ef1f7af730a94c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6583b1c44e198899f9edfbb4b4dfa734.png)
A.l与![]() | B.![]() | C.![]() | D.![]() |
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6 . 定义在区间
上的函数
的导函数
的图象如图所示,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffdaa110529b37207cb1accaa1998e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
A.函数![]() ![]() | B.函数![]() ![]() |
C.函数![]() ![]() | D.函数![]() ![]() |
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解题方法
7 . 将一块
模板放置在空间直角坐标系中,其位置及坐标如图所示,则点A到直线BC的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知空间直角坐标系中的三点
,
,
.
(1)若
,且
,求向量
的坐标;
(2)已知向量
与
互相垂直,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5e428213f946350934bc876fba5514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daca2df16b221585c93109fd17bc1b5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b92ecb2412db3b9143c500555c2a0ceb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a1fa7538549bf04c02a09ead1745ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2948a7c39b1fbcc70cd94a636a825793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
(2)已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215ec17116710e7927ad75ccd88c4e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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9 . 已知空间中三点
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a323525af54c4ba2ea988930517fbc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e2755d7f7751444a6ee6de623bdd836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91df277048cd53cf37906db6e0df96b5.png)
A.![]() ![]() |
B.与向量![]() ![]() |
C.![]() ![]() ![]() |
D.平面![]() ![]() |
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解题方法
10 . 函数
在区间
上的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3703524479622a2bf73cc4d69bed998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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