PA、PB、PC是从点P出发的三条射线,其中
,
,则PC与平面PAB所成角的余弦值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b054438a4387e1e66fd90e53ca54c262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15b82151bff7cc0238d2034a6129f0.png)
更新时间:2021-10-16 23:25:12
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填空题-单空题
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适中
(0.65)
【推荐1】在三棱锥
中,
平面
,
,
,
,
分别是
,
,
的中点,
,则直线PA与平面DEF所成角为_________ 弧度.
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解题方法
【推荐2】如图,三棱锥
的体积为
,又
,
,
,
,且
为锐角,则
与平面
所成的角为_____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e60fbe6820130fb20abc555a94b5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33754a74de63c0557ef85fa1cee6f9cc.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/844f2ff92d89b467851c601d67edf94d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bebb16c0ffc99a945619ae0986cadd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
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名校
【推荐3】在四棱锥
中,底面
为矩形,
平面
,且
与平面
所成角为
,则四棱锥
的外接球的表面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
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解题方法
【推荐1】在三棱柱
中,
底面
,
,点P是棱
上的点,
,若截面
分这个棱柱为两部分,则这两部分的体积比为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0da60f7d50768d34bdc59759c4b0b66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f5efdf2008c628d79958e8ed4a1883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc9b42d16569ad69c38883534a0be16.png)
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解题方法
【推荐2】如图,正方体
的棱长为
,过点
作平面
的垂线,垂足为点
.有下列四个命题
![](https://img.xkw.com/dksih/QBM/2018/2/5/1875811655548928/1877114544095232/STEM/6efaac7694bc47edb8592b6274607e94.png?resizew=199)
⑴点
是
的垂心 ⑵
平面
⑶二面角
的正切值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
⑷点
到平面
的距离为
则正确的命题有________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
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![](https://img.xkw.com/dksih/QBM/2018/2/5/1875811655548928/1877114544095232/STEM/6efaac7694bc47edb8592b6274607e94.png?resizew=199)
⑴点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83639461efb94a72bd1d0d8c190e29b8.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
⑷点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
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