题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072820-45087.png)
其中正确的结果是 ( )
A.①②③ | B.①③④ | C.②③④ | D.①②③④ |
答案
解析
试题分析:问题等价于用一个平面去截正方体,所截得的较小的几何体的体积为正方体体积的
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072820-45087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072821-62860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072821-62860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072821-62735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072821-26857.png)
(1)当截面过
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072821-91706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072822-32018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072822-90691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072822-68154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072822-91020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072822-90180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072823-99758.png)
(2)如下图所示,用不与棱
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072823-66259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072821-62860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072823-60285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072823-50766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072823-95277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072824-83983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072824-61985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072824-61827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072824-96030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072825-73954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072825-43015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072825-27154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072825-57507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072826-55152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072825-57507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072826-47342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072826-35044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072826-97418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072826-57762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072827-98081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072827-68825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072827-82372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072821-62860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072827-98081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072827-43169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072828-31686.png)
(3)如下图所示,用平行于棱
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072823-66259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072828-45108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072823-60285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072823-50766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072823-95277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072824-83983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072824-61985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072824-61827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072824-96030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072825-73954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072828-60026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072828-23392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072828-60026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072828-67126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072829-50717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072826-57762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072829-81547.png)
(4)如下图所示,在水面刚过
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072821-91706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072822-32018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072822-90691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072821-62860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072823-66259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072829-58146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072829-40898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072830-81305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072830-24406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072824-61985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072824-61827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072824-96030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072825-73954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072830-91183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072830-32072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072831-19684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072831-75166.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072831-84058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072827-43169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072831-71511.png)
核心考点
试题【在透明塑料制成的正方体容器中灌进体积的水,密封后可以任意摆放,那么容器内水面形状可能是:①三角形;②梯形;③长方形;④五边形.其中正确的结果是 ( )A.】;主要考察你对空间几何体的视图与直观图等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072811-21394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072811-62699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072811-61062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072811-74337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072811-61062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072812-10949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072812-78535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072812-54530.png)
(I)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072812-49900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072813-25470.png)
(II)如果
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072813-26858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072813-25470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072813-55042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072804-13662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072804-46135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072804-55510.png)
①水的部分始终呈棱柱状;
②水面四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072805-99029.png)
③棱
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072805-69255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072805-99029.png)
④当
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072805-91347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072805-77568.png)
其中所有正确的命题的序号是 ( )
A.①②③ | B.①③ | C.②④ | D.①③④ |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072806-46323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072755-82700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072755-39592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072756-39959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072756-51314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072756-62605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072756-80791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072756-13453.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072758-40856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072750-17926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072750-48810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072750-20685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072751-45066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072750-17926.png)
A.AB边所在的直线上 | B.BC边所在的直线上 |
C.AC边所在的直线上 | D.△![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021072747-97680.png)
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