1 . 已知某个几何体的三视图如图(主视图的弧线是半圆),根据图中标出的数据:
⑴求这个组合体的表面积;
⑵若组合体的底部几何体记为
,如图,其中
为正方形.
①求证:
⊥平面
;
②若
为棱
上一点,求
的最小值.
![](https://img.xkw.com/dksih/QBM/2012/2/7/1570721438056448/1570721443012608/STEM/782a9410ca954d158da501c34bac9d6c.png?resizew=254)
⑴求这个组合体的表面积;
⑵若组合体的底部几何体记为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd694ad3a4733c7c84aaa7946aeea4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c6f22176e00d5ea92419e871a27f67c.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b362fffbd6e0fef50ca51fc300d23d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c54737746cba04424059d1405887648.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc689a0bf91e6384ca0bd3fb3fbfa0ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49cfad8dbef71959828da8c9d444921.png)
![](https://img.xkw.com/dksih/QBM/2012/2/7/1570721438056448/1570721443012608/STEM/782a9410ca954d158da501c34bac9d6c.png?resizew=254)
![](https://img.xkw.com/dksih/QBM/2012/2/7/1570721438056448/1570721443012608/STEM/2448a9c9cc214d71b5ff684c9a3b70ce.png?resizew=200)
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解题方法
2 . 已知四棱锥
(图1)的三视图如图2所示,
为正三角形,
垂直底面
,俯视图是直角梯形.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/12/ce9a0c19-ac00-4486-83d7-9eee7e69f00e.png?resizew=351)
(1)求正视图的面积;
(2)求四棱锥
的体积;
(3)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/12/ce9a0c19-ac00-4486-83d7-9eee7e69f00e.png?resizew=351)
(1)求正视图的面积;
(2)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
您最近一年使用:0次
2016-12-04更新
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954次组卷
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3卷引用:2015-2016学年湖南长郡中学高一下第一次检测数学试卷