名校
解题方法
1 . 如图,四边形
是正方形,
平面
,
,
,
在线段
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/dee0013d-4a39-4b68-af36-65913fee0109.png?resizew=141)
(1)若
平面
,请在图中画出点
,保留作图痕迹,并说明理由.
(2)是否存在点
,使得
与平面
所成角的正弦值为
,若存在,求出
;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed04b01505bbd8a4ac0bc12e46f23bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180868535d96d800625148a03a33e9d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bcf55cb4ea16c17f20e02190ffdff07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/dee0013d-4a39-4b68-af36-65913fee0109.png?resizew=141)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d30788a482598e638aea779ac14da12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df5935c893580c77ab6fa6eb0a70bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)是否存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6261790c66cc71ee3898afabad0c09f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83303d3784492506fc44f2b4d6b07bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383c681f398877a4589a389d19a0f2e6.png)
您最近一年使用:0次
2 . 已知长方体
中,
,
,
为
的中点,如图所示.
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/49456572f1ee42cb9541659967d8bb72.png)
(1)在所给图中画出平面
与平面
的交线(不必说明理由);
(2)证明:
平面
;
(3)求平面
与平面
所成锐二面角的大小.
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/c75aa33c70d84d6888d11ba35632150f.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/daf735d3e0e24ba2bb20fe187cf798d4.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/8bb972e6229d421da434a47ab5c0526e.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/8971dbe6938748ff8c1cbc4634d3b6fe.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/b8fb13f4cbae4dd6b07821fa8a95400d.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/49456572f1ee42cb9541659967d8bb72.png)
(1)在所给图中画出平面
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/a5ac56a353e743eebd7a75199c412bd2.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/c83c5e60d0f14f00ac428bd983f25392.png)
(2)证明:
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/a9807f9890f3403d8301b48647d0a3c0.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/c83c5e60d0f14f00ac428bd983f25392.png)
(3)求平面
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/a5ac56a353e743eebd7a75199c412bd2.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101202432/STEM/c83c5e60d0f14f00ac428bd983f25392.png)
您最近一年使用:0次
2016-12-04更新
|
576次组卷
|
2卷引用:2017届福建闽侯县三中高三上期中数学(理)试卷