如图几何体是圆锥的一部分,它是Rt△ABC(及其内部)以一条直角边AB所在直线为旋转轴旋转150°得到的,AB=BC=2,P是弧
上一点,且EB⊥AP.
![](https://img.xkw.com/dksih/QBM/2020/1/13/2376306543706112/2422032537239552/STEM/fb28e887-8993-453a-9faf-95b326072086.png)
(1)求∠CBP的大小;
(2)若Q为AE的中点,D为弧
的中点,求二面角Q﹣BD﹣P的余弦值;
(3)直线AC上是否存在一点M,使得B、D、M、Q四点共面?若存在,请说明点M的位置;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3839ab58dabbf4c12ee69770bdbf8dac.png)
![](https://img.xkw.com/dksih/QBM/2020/1/13/2376306543706112/2422032537239552/STEM/fb28e887-8993-453a-9faf-95b326072086.png)
(1)求∠CBP的大小;
(2)若Q为AE的中点,D为弧
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a4fdec4ee1fc83fdd6b4c324755d95.png)
(3)直线AC上是否存在一点M,使得B、D、M、Q四点共面?若存在,请说明点M的位置;若不存在,请说明理由.
更新时间:2020-03-18 09:00:43
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解答题-问答题
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【推荐1】已知
平面ABC,
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真题
【推荐2】如图所示,点
为斜三棱柱
的侧棱
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交
于点
,
交
于点
.
![](https://img.xkw.com/dksih/QBM/2016/10/22/1573089691934720/1573089698439168/STEM/7972e989-11cc-4b62-94c9-7f0e0d290d3f.png?resizew=194)
(1)求证:
;
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.拓展到空间,类比三角形的余弦定理,写出斜三棱柱的三个侧面面积与其中两个侧面所成的二面角之间的关系式,并予以证明.
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【推荐3】如图,在四棱锥
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(1)若
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平面
;
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是
的中点,求二面角
的余弦值.
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(2)若
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【推荐1】如图,在三棱柱
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解题方法
【推荐2】如图,四边形
是矩形,
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.
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(1)证明:平面
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(2)若平面
与平面
的交线为
,求证:
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【推荐3】如图,在平行四边形ABCD中,∠D=60°,E为CD的中点,且AE=CE,现将平行四边形沿AE折叠成四棱锥P-ABCE.
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(1)已知
为
的中点,求证:
.
(2)若平面
平面
,求二面角
的余弦值.
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(1)已知
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(2)若平面
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