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解题方法
1 . 如图,四棱锥
的底面是正方形,每条侧棱的长都是底面边长的
倍,P为侧棱SD的中点,试用向量法解决下面的问题.
![](https://img.xkw.com/dksih/QBM/2020/10/10/2568133224710144/2569596584730624/STEM/ffc8d4c1-121f-4625-ba19-265acee96a6d.png?resizew=294)
(1)求证:
;
(2)若
,求线段BP的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/2020/10/10/2568133224710144/2569596584730624/STEM/ffc8d4c1-121f-4625-ba19-265acee96a6d.png?resizew=294)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c177e06cc3f703e8ca7be7c491fa2942.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
您最近一年使用:0次
2020-10-12更新
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461次组卷
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5卷引用:广东省华中师范大学海丰附属学2021-2022学年高二上学期9月月考数学试题
2 . 如图,在四棱锥P—ABCD中,侧面PAD⊥底面ABCD,△PAD是正三角形,四边形ABCD是矩形,且
,E为PB的中点.
![](https://img.xkw.com/dksih/QBM/2015/10/10/1572254207959040/1572254213242880/STEM/b09aa55c3a8a4d28aca34f16c45fffd9.png)
(1)求证:PD∥平面ACE;
(2)求证:AC⊥PB
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1d36437d9e50f560536853ecd636d4.png)
![](https://img.xkw.com/dksih/QBM/2015/10/10/1572254207959040/1572254213242880/STEM/b09aa55c3a8a4d28aca34f16c45fffd9.png)
(1)求证:PD∥平面ACE;
(2)求证:AC⊥PB
您最近一年使用:0次