几何体的三视图练习题
2、一个几何体的三视图如图，该几何体的表面积是 （ ）
（A）372 （B）360 （C）292 （D）280
![](https://wkrtcs.bdimg.com/rtcs/image?w=224&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"224","h":"218.66666666667","dataType":"gif","c":"word/media/image1.png"})
4、一个长方体去掉一个小长方体，所得几何体的正（主）视图与侧（左）视图分别如右图所示，则该几何体的俯视图为： （ ）
![](https://wkrtcs.bdimg.com/rtcs/image?w=212.8&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"212.8","h":"86.933333333333","dataType":"jpeg","c":"word/media/image2.png","imgOriW":298,"imgOriH":121})
5、若一个底面是正三角形的三棱柱的正视图如图所示,则其侧面积等于 ( )
A．4 B．2 C．5 D．6
![](https://wkrtcs.bdimg.com/rtcs/image?w=338.66666666667&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"338.66666666667","h":"276","dataType":"gif","c":"word/media/image5.png"})
6、图2中的三个直角三角形是一个体积为20cm2的几何体的三视图，则h= cm
![](https://wkrtcs.bdimg.com/rtcs/image?w=206.66666666667&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"206.66666666667","h":"149.33333333333","dataType":"gif","c":"word/media/image6.png"})
7、一个几何体的三视图如图所示，则这个几何体的体积为 。
![](https://wkrtcs.bdimg.com/rtcs/image?w=181.33333333333&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"181.33333333333","h":"168","dataType":"gif","c":"word/media/image7.png"})
8、如图，网格纸的小正方形的边长是1，在其上用粗线画出了某多面体的三视图，则这个多面体最长的一条棱的长为______.
![](https://wkrtcs.bdimg.com/rtcs/image?w=192&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"192","h":"185.33333333333","dataType":"gif","c":"word/media/image8.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=253.33333333333&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"253.33333333333","h":"114.66666666667","dataType":"gif","c":"word/media/image9.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=186.66666666667&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"186.66666666667","h":"198.66666666667","dataType":"gif","c":"word/media/image10.png"})
11、上图是一个几何体的三视图，根据图中数据，可得该几何体的表面积是（ ）
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=21&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"21","h":"19","dataType":"gif","c":"word/media/image11.png"})
B． C． D．
14、设某几何体的三视图如上图所示。则该几何体的体积为 ![](https://wkrtcs.bdimg.com/rtcs/image?w=21&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"21","h":"21","dataType":"wmf","c":"word/media/image15.png","imgOriW":42,"imgOriH":42})
![](https://wkrtcs.bdimg.com/rtcs/image?w=2&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"2","h":"3","dataType":"jpeg","c":"word/media/image16.png","imgOriW":182,"imgOriH":331})
15、已知某个几何体的三视图如下，根据图中标出的尺寸（单位：cm），可得这个几何体的体积是（ ）
Ａ．![](https://wkrtcs.bdimg.com/rtcs/image?w=65&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"65","h":"41","dataType":"gif","c":"word/media/image17.png"})
Ｂ． Ｃ． Ｄ．
![](https://wkrtcs.bdimg.com/rtcs/image?w=362.66666666667&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"362.66666666667","h":"169.33333333333","dataType":"gif","c":"word/media/image21.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=104&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"104","h":"198.66666666667","dataType":"gif","c":"word/media/image22.png"})
20、如图所示，一个空间几何体的正视图和侧视图都是底为1，高为2的矩形，俯视图是一个圆，那么这个几何体的表面积为( )
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=24&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"24","h":"19","dataType":"wmf","c":"word/media/image23.png","imgOriW":48,"imgOriH":38})
B． C． D．
18、下图是一个几何体的三视图，根据图中数据，可得该几何体的表面积是
A.9π B.10π C.11π D．12π
![](https://wkrtcs.bdimg.com/rtcs/image?w=214.66666666667&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"214.66666666667","h":"188","dataType":"gif","c":"word/media/image27.png"})
21、一个几何体的三视图及其尺寸(单位：cm)如图所示，则该几何体的侧面积为_ ______cm2.
![](https://wkrtcs.bdimg.com/rtcs/image?w=202.66666666667&md5sum=4558951899c346823ed269251eddc167&sign=147dfd0b87&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=45&ipr={"t":"img","w":"202.66666666667","h":"181.33333333333","dataType":"gif","c":"word/media/image28.png"})
答案
题号 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
答案 | B | B | B | C | D | 4 | 3 | D | B | D | A | 4 | 18 | B | |
题号 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |||||||
答案 | B | C | D | C | B | 80 | A | C | |||||||
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