1 . 如图,已知直四棱柱
的底面是直角梯形,
,
,
、
分别是棱
、
上的动点,且
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/97315868-71b5-4523-87cf-6af5f85c7f0f.png?resizew=259)
(1)证明:无论点
怎样运动,四边形
都为矩形;
(2)当
时,求几何体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8904ad08ba36b1bc65d0bef60c5ad96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9734052822f8225bea5881e8f06f14f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/97315868-71b5-4523-87cf-6af5f85c7f0f.png?resizew=259)
(1)证明:无论点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ef9b5005f47f4959a02e87f429590c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065f2c3527fcc9d84939c47ac8640643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f314af748c6c344d38ee77fe10cd638.png)
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2019-10-06更新
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3卷引用:山西省运城市景胜中学2019-2020学年高二9月月考数学(理)试题