题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073248-95715.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073248-93179.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073248-76718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073248-72360.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-29437.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-41137.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073248-95715.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-97906.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-72899.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073250-66373.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073250-36905.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-29437.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-41137.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073248-95715.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-97906.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-72899.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073250-66373.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073250-14835.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-29437.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-41137.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073248-95715.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-97906.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-72899.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073250-66373.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073250-14835.gif)
证明如下:
在图(2)中,连结
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073250-90256.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073251-60281.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073251-88677.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073251-51634.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073251-52635.gif)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073249-41137.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073248-95715.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073252-66783.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073252-74748.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073252-78269.gif)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073252-55110.gif)
核心考点
试题【如图(1),在三角形中,,若,则;若类比该命题,如图(2),三棱锥中,面,若点在三角形所在平面内的射影为,则有什么结论?命题是否是真命题.】;主要考察你对合情推理与演译推理等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073242-63052.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073242-17625.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073242-47016.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073243-18066.gif)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073243-99579.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073243-59144.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073243-78331.gif)
(2)如果(1)中获得了一个结论,请你推测能否将其推广.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073233-97479.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073233-97502.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073233-53997.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073233-18393.gif)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-52813.gif)
(2)令
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-60045.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-57765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-78577.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-46340.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-51408.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-87096.gif)
(3)证明:存在不等于零的常数p,使
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-28187.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073218-83452.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073218-18122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073219-33270.gif)
┅┅
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073219-60447.gif)
将以上各式分别相加得:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073219-28189.gif)
即:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073219-29846.gif)
类比上述求法:请你求出
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073219-62677.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073210-72619.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073210-91010.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073210-37221.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073211-56492.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073211-40304.gif)
A.类比推理推理结果正确 | B.类比推理推理结果错误 |
C.归纳推理推理结果正确 | D.归纳推理推理结果错误 |
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