题目
题型:不详难度:来源:
①
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101139-10621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101139-35048.png)
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101139-90605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101139-76943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101139-54556.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101139-76943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101139-90605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101139-90141.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101139-70302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101139-36085.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101140-13563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101140-42286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101140-26145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101140-33203.png)
∵面
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101140-34299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101140-28736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101141-91682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101141-33404.png)
以
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101140-13563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101141-54768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101141-53775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101142-67425.jpg)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101142-73060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101142-24639.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101142-11386.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101143-80367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101143-97994.png)
可知平面
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101141-33404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101143-22786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101143-63920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101144-60459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101144-52324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101144-19955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101144-18487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101145-61117.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101145-20576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101141-33404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101143-63920.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101145-43535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101140-42286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101145-51723.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101145-87520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101146-88092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101140-42286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101145-51723.png)
任意四面体一定有外接球,所以命题④正确;
可知平面
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101140-28736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101146-41865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101146-57822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101146-24177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101140-28736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101147-45428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101147-90109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101147-40322.png)
综上可得,正确的命题为①④⑤
核心考点
试题【如图是一副直角三角板.现将两三角板拼成直二面角,得到四面体ABCD,则下列叙述正确的是. _________①;②平面BCD的法向量与平面ACD的法向量垂直;③】;主要考察你对平面向量的概念等知识点的理解。[详细]
举一反三
A.![]() | B.![]() ![]() | C.1 | D.-1 |
①
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101124-37220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101124-73825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101124-97277.png)
②
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101125-70328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101125-43626.png)
③
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101125-71546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101125-74587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101125-90615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101125-90615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101126-23195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101125-74587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101126-23195.png)
⑤若
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101126-18637.png)
A.①⑤ | B.②③ | C.②③④ | D.①④⑤ |
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101117-44602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101118-93543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101118-14152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101111-57482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101112-17084.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101112-37858.png)
(2)判断
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101112-92154.png)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101113-69975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101113-99194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101106-36106.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101107-67675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101107-52457.png)
②直角坐标平面上的
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101107-65582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101107-80023.png)
③
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101107-97191.png)
④
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101108-92696.png)
⑤
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103101108-99915.png)
其中正确命题的个数为
A.4个 | B.3个 |
C.2个 | D.1个 |
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