题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073033-79911.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073033-75486.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073034-85784.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073034-53647.gif)
(1)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073034-48354.gif)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073034-33407.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073033-79911.gif)
柱
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073033-75486.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073034-15271.gif)
(i)当点C在圆周上运动时,求
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073034-15271.gif)
(ii)记平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073035-42759.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073035-21518.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073035-37921.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073035-39499.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073034-15271.gif)
取最大值时,求
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073036-11085.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073036-78409.jpg)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073036-51523.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073036-15300.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073037-19873.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073036-51523.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073036-15300.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073037-91059.gif)
因为AB是圆O直径,所以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073037-91059.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073036-15300.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073037-20884.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073037-82626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073038-64437.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073037-91059.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073036-15300.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073035-42759.gif)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073037-19873.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073038-17828.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073038-59956.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073038-17828.gif)
(2)(i)设圆柱的底面半径为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073038-17187.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073038-34148.gif)
故三棱柱
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073039-77746.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073039-72571.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073039-96885.gif)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073039-60751.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073040-65590.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073040-91757.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073040-38914.gif)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073040-45501.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073041-67244.gif)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073034-15271.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073041-24698.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073040-38914.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073041-89149.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073034-15271.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073041-15598.gif)
(ii)由(i)可知,
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073034-15271.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073041-89149.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073042-48105.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073042-94420.gif)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073037-91059.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073036-15300.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073035-42759.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073042-48358.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073035-42759.gif)
设平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073035-21518.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073042-59624.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073043-32341.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073043-77857.gif)
取
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073043-60709.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073035-21518.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073043-10751.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073043-29381.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073044-66010.gif)
解析
核心考点
试题【( 12分)如图,圆柱内有一个三棱柱,三棱柱的底面为圆柱底面的内接三角形,且是圆的直径。(1)求证:平面(2)设,在圆柱内随机选取一个点,记该点取自三棱 柱的概】;主要考察你对线线角等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073023-30134.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073023-44048.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073023-22467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073023-23182.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073024-30544.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073023-23182.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073024-30544.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073023-30134.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073013-81919.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073013-16874.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073013-89577.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073013-58552.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073013-63861.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073013-94747.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073014-49760.gif)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073014-60220.gif)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073014-84110.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073014-38605.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072959-25854.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073000-46865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073000-97133.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073000-44249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073000-97133.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073000-44249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073000-74168.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073000-12636.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073000-82307.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073000-23709.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073000-11516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073000-23709.gif)
(1)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073000-30608.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073001-85819.gif)
(2)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073001-22108.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022073001-47876.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072948-61352.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072948-44691.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072949-47252.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072949-19648.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072949-76329.gif)
(1)证明:当点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072949-48926.gif)
(2)(理)在棱
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072949-37240.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072949-54256.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072949-35094.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072949-99866.jpg)
(文)在棱
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072949-61017.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072949-19611.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072950-35622.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072949-35094.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072941-76254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022072942-60635.png)
A.若a∥![]() ![]() |
B.若a∥![]() ![]() |
C.若a![]() ![]() ![]() ![]() ![]() |
D.若a⊥![]() ![]() ![]() ![]() |
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