1 . 如图,在四棱锥
中,底面为正方形
,
底面
,该四棱锥的正视图和侧视图均为腰长为6的等腰直角三角形.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/2b9e2960-7902-4f0f-9ca2-247f0f2a1596.png?resizew=217)
(1)画出相应的俯视图,并求出该俯视图的面积;
(2)求证:
;
(3)求四棱锥
外接球的直径.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/2b9e2960-7902-4f0f-9ca2-247f0f2a1596.png?resizew=217)
(1)画出相应的俯视图,并求出该俯视图的面积;
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b8e49d68afab33806a63d25a0861c7c.png)
(3)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
您最近一年使用:0次
13-14高二下·辽宁大连·期末
2 . 如图水平放置的三棱柱的侧棱长为1,且侧棱
平面
,主视图是边长为1的正方形,俯视图为一个等边三角形,则该三棱柱的左视图面积为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
![](https://img.xkw.com/dksih/QBM/2014/10/23/1571881852887040/1571881858613248/STEM/29a953bb7b9f4ba2b20c31f3a2d23edc.png?resizew=439)
您最近一年使用:0次
3 . 如图为一简单组合体,其底面ABCD为正方形,PD⊥平面ABCD,EC//PD,且PD=AD=2EC=2.
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572560295763968/1572560301293568/STEM/b70d28e36d94491ea85fa9538b07d6b9.png?resizew=130)
(1)请画出该几何体的三视图;
(2)求四棱锥B-CEPD的体积.
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572560295763968/1572560301293568/STEM/b70d28e36d94491ea85fa9538b07d6b9.png?resizew=130)
(1)请画出该几何体的三视图;
(2)求四棱锥B-CEPD的体积.
您最近一年使用:0次
2016-11-30更新
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515次组卷
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3卷引用:2010年辽宁省大连市二十三中学高二第一次月考数学卷