题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041937-64870.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041937-99818.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041937-69676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041938-27402.gif)
(Ⅰ)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041938-46516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041938-60078.gif)
(Ⅱ)若在棱
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041938-53070.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041938-66126.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041939-24672.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041939-52986.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041939-14061.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041939-21627.gif)
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041940-16525.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041938-27402.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041937-99818.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041937-69676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041940-76279.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041940-74672.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041940-16525.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041937-64870.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041940-70300.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041941-23005.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041941-79964.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041941-23005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041940-70300.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041940-74672.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041941-60972.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041940-74672.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041938-60078.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041941-79964.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041941-20260.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041938-46516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041938-60078.gif)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041940-74672.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041940-16525.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041941-90767.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041942-72592.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041939-24672.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041939-52986.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041942-11219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041938-60078.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041938-60078.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041942-61449.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041939-52986.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041942-88842.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041939-14061.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041939-21627.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041942-76939.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041943-12096.gif)
核心考点
试题【在正方体中,分别是中点.(Ⅰ)求证:平面⊥平面;(Ⅱ)若在棱上有一点,使平面,求与的比.】;主要考察你对空间几何体的结构特征等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041928-18519.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041928-44141.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041929-75633.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041929-24254.gif)
(Ⅰ)问点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041929-75633.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041929-42836.gif)
(Ⅱ)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041929-26251.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041929-84341.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041919-25029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041919-46982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041920-77986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041920-28486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041920-43049.png)
(Ⅰ)求证:无论点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041920-77986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041920-96871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041920-42241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041920-77172.png)
(Ⅱ)当点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041920-77986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041920-68457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041920-10535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041908-21620.gif)
已知三棱柱ABC—A1B1C1的三视图如图所示,其中主视图AA1B1B和左视图B1BCC1均为矩形,俯高图△A1B1C1中,A1C1=3,A1B1=5,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041909-90958.gif)
(1)在三棱柱ABC—A1B1C1中,求证:BC⊥AC1;
(2)在三棱柱ABC—A1B1C1中,若D是底边AB的中点,求证:AC1∥平面CDB1;
(3)若三棱柱的高为5,求三视图中左视图的面积.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041857-93192.gif)
一个空间几何体
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041857-80314.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041857-14356.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041857-68364.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041857-56796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041858-30003.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041858-71159.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041858-92460.gif)
(Ⅰ)根据三视图作出空间几何体
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041857-80314.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041857-68364.gif)
(Ⅱ)在空间几何体
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041857-80314.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041858-60799.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041859-39587.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041859-85162.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041859-61007.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041859-20090.gif)
(Ⅲ)在(Ⅱ)的条件下,求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041859-12706.gif)
(Ⅰ)求证:AB⊥CB1;
(Ⅱ)求证:MN//平面ABC1。
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