名校
解题方法
1 . 如图1,已知在矩形
中,
,
,
为
的中点.将
沿
折起,使得平面
平面
,如图2.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/31/c6be3a88-713d-455a-8e13-51538b0f8402.png?resizew=316)
(1)求证:平面
平面
;
(2)设
,
.
①是否存在
,使
?
②当
为何值时,二面角
的平面角的余弦值为
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080ca48cd27d4bf9d9ef084b558fc17a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88c44f558705de3bcefcfc0ece96b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f9fba8a4098c1a0515286eb8d616dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb5012f6c70a1e98d682b6d021fadd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0760712e3e2ea02b755b751e760d0c55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/31/c6be3a88-713d-455a-8e13-51538b0f8402.png?resizew=316)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb5012f6c70a1e98d682b6d021fadd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc46688d8723cf2003fc25890265200.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7f70c4748990ef43f780f7b9302072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79296cd4046a71e163a8f3e647a176ae.png)
①是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46c4f823070b37466d31e7a6162eb44.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a5266895d3c1fcb350a745bc779433b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
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2023-11-29更新
|
106次组卷
|
2卷引用:河南省济源市济源第一中学2024届高三上学期期中数学试题
名校
解题方法
2 . 如图,已知AB是圆柱底面圆的一条直径,OP是圆柱的一条母线,C为底面圆上一点,且
,
,则直线PC与平面PAB所成角的正弦值为( )
![](https://img.xkw.com/dksih/QBM/2022/3/16/2937568463167488/2938680845180928/STEM/8df7df2a5e4645b78cdb54de662135a7.png?resizew=189)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4bed81b3e3b9de4e36262e7c57a8c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437c6c91e41710c14ac11cfa5588bb8e.png)
![](https://img.xkw.com/dksih/QBM/2022/3/16/2937568463167488/2938680845180928/STEM/8df7df2a5e4645b78cdb54de662135a7.png?resizew=189)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-03-18更新
|
430次组卷
|
3卷引用:河南省济源市、平顶山市、许昌市2022届高三第二次质量检测理科数学试题
河南省济源市、平顶山市、许昌市2022届高三第二次质量检测理科数学试题四川省泸县第五中学2023届高三三诊模拟理科数学试题(已下线)6.3.3&6.3.4 空间角的计算、空间距离的计算-【题型分类归纳】2022-2023学年高二数学同步讲与练(苏教版2019选择性必修第二册)
解题方法
3 . 如图,在三棱锥D—ABC中,G是△ABC的重心,E,F分别在BC,CD上,且
,
.
![](https://img.xkw.com/dksih/QBM/2022/3/16/2937568463167488/2938680845516800/STEM/a9bb2de0d4534065ba668f42fc8fe81c.png?resizew=181)
(1)证明:平面
平面ABD;
(2)若
平面ABC,
,
,
,P是线段EF上一点,当线段GP长度取最小值时,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91928fb7fc49b70ffd1f3a7dbeb566f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ad6b6519a55c2a502b9a94d3b514b4.png)
![](https://img.xkw.com/dksih/QBM/2022/3/16/2937568463167488/2938680845516800/STEM/a9bb2de0d4534065ba668f42fc8fe81c.png?resizew=181)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51daddc16eddbdf70ab3c15a28f6286b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2873cc55831ef240c0e172cf89ae29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d399d731913a563e291b817831a0c678.png)
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