1 . 已知某个几何体的三视图如图(主视图中的弧线是半圆),根据图中标出的尺寸,可得这个几何体的体积是
![](https://img.xkw.com/dksih/QBM/2011/5/18/1570208444530688/1570208449363968/STEM/21b7c162770e42728230a86a64b66426.png)
![](https://img.xkw.com/dksih/QBM/2011/5/18/1570208444530688/1570208449363968/STEM/21b7c162770e42728230a86a64b66426.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 一个三棱锥的三视图如图(图中小正方形的边长为1),若这个三角棱锥的顶点都在同一个球的球面上,则这个球的表面积是
![](https://img.xkw.com/dksih/QBM/2017/4/12/1664255891464192/1664853518548992/STEM/224e63aa0fab49ec8b3ee6c8917d4086.png?resizew=111)
![](https://img.xkw.com/dksih/QBM/2017/4/12/1664255891464192/1664853518548992/STEM/224e63aa0fab49ec8b3ee6c8917d4086.png?resizew=111)
A.![]() | B.![]() | C.![]() | D.![]() |
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2011·宁夏银川·一模
3 . 已知一个空间几何体的三视图如图1所示,其中正视图、侧视图都是由半圆和矩形组成,根据图中标出的尺寸,可得这个几何体的表面积是
![](https://img.xkw.com/dksih/QBM/2012/6/29/1570905129082880/1570905134292992/STEM/6f095b909658476a9d3a4865ba815588.png)
![](https://img.xkw.com/dksih/QBM/2012/6/29/1570905129082880/1570905134292992/STEM/6f095b909658476a9d3a4865ba815588.png)
A.4![]() | B.7![]() |
C.6![]() | D.5![]() |
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4 . 三棱柱
的直观图及三视图(主视图和俯视图是正方形,左侧图是等腰直角三角形)如图,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2012/2/13/1570734397030400/1570734402379776/STEM/61b324465c6b473a84a058c937b0dba9.png?resizew=196)
![](https://img.xkw.com/dksih/QBM/2012/2/13/1570734397030400/1570734402379776/STEM/4c713b4a92e74b87bb304917e04c6d1e.png?resizew=204)
(1)求证:
平面
;
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede6a60cad0e0b58e1549fda6e085719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://img.xkw.com/dksih/QBM/2012/2/13/1570734397030400/1570734402379776/STEM/61b324465c6b473a84a058c937b0dba9.png?resizew=196)
![](https://img.xkw.com/dksih/QBM/2012/2/13/1570734397030400/1570734402379776/STEM/4c713b4a92e74b87bb304917e04c6d1e.png?resizew=204)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0f31c75b24e9f46ac73118fde73d143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361ba681e1c611ef91f4374374062914.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52e2a9dfb75f36fe375d1693add819dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361ba681e1c611ef91f4374374062914.png)
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解题方法
5 . 如图是某几何体挖去一部分后得到的三视图,其中主视图和左视图相同都是一个等腰梯形及它的内切圆,俯视图中有两个边长分别为2和8的正方形且图中的圆与主视图圆大小相等并且圆心为两个正方形的中心.问该几何体的体积是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/30/6eb0bc62-d2ce-4ff2-80be-966daebdbf17.png?resizew=183)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/30/6eb0bc62-d2ce-4ff2-80be-966daebdbf17.png?resizew=183)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-04-27更新
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483次组卷
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3卷引用:2017届江西省鹰潭市高三第二次模拟考试数学(理)试卷