1 . 如图,在长方体
中,
,
,
为
的中点
(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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef676509065322bfc244e59607bb60d.png)
(3)求平面
与平面
所成锐二面角的余弦值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8745717601cd14b46c2298919b41b502.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1a56baf43ffdf67bc8460856e31fec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbafedc202bd0d86c4dfdece9f8f4fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/90a20a4f-b105-4e81-a597-ec7f8158ad82.png?resizew=158)
(1)在所给图中画出平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028856d5101687dd8eaf130846489cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef676509065322bfc244e59607bb60d.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f511b6f2e0072ff616a5b79b0617db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef676509065322bfc244e59607bb60d.png)
(3)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028856d5101687dd8eaf130846489cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef676509065322bfc244e59607bb60d.png)
您最近一年使用:0次
2 . 如图1,梯形
中,
为
中点.将
沿
翻折到
的位置,如图2.
![](https://img.xkw.com/dksih/QBM/2018/1/17/1862333791043584/1863596427837440/STEM/7013c7e774de4b60b9eecd1b546c5f50.png?resizew=306)
(Ⅰ)求证:平面
平面
;
(Ⅱ)求直线
与平面
所成角的正弦值;
(Ⅲ)设
分别为
和
的中点,试比较三棱锥
和三棱锥
(图中未画出)的体积大小,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d7ff52847b69696b5761cb3238d0bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3814287dbb60d478bffc5366f9928b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04e2f190be01e1ae0a21eb44e4dce83.png)
![](https://img.xkw.com/dksih/QBM/2018/1/17/1862333791043584/1863596427837440/STEM/7013c7e774de4b60b9eecd1b546c5f50.png?resizew=306)
(Ⅰ)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a1ac0e7fd10158fb45cb80c13953478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
(Ⅱ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bca84ad86c648d3bb20c8909c8da3f.png)
(Ⅲ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce1b066f8869d0ff4513f7a99745125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e257ccf83a6ca28b13a074bd7f3c5e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4272eecf38bf962cea1a58fb2a312bbb.png)
您最近一年使用:0次
2018-01-19更新
|
359次组卷
|
4卷引用:北京市海淀区2018届高三第一学期期末理科数学试题
真题
3 . 如图,长方体
中,
,
,
,点
,
分别在
,
上,
.过点
,
的平面
与此长方体的面相交,交线围成一个正方形.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/8dea81cb-c384-4e53-bc1b-7f914f33d2e9.png?resizew=200)
(Ⅰ)在图中画出这个正方形(不必说出画法和理由);
(Ⅱ)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce477dc0255dca8b9c2b9a7557626bb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311a624b6e40135f1797a22976e94edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5e1093a147c521c5e8d0d5e266db54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d248443b187bf046cedc2f9025bde3a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/8dea81cb-c384-4e53-bc1b-7f914f33d2e9.png?resizew=200)
(Ⅰ)在图中画出这个正方形(不必说出画法和理由);
(Ⅱ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2016-12-03更新
|
13440次组卷
|
12卷引用:内蒙古乌兰察布市北京八中分校2017-2018学年高二上学期期末考试数学(理)试题
内蒙古乌兰察布市北京八中分校2017-2018学年高二上学期期末考试数学(理)试题福建省泉州晋江市磁灶中学、内坑中学2021届高三上学期期末联考数学试题2015年全国普通高等学校招生统一考试理科数学(新课标Ⅱ)2015-2016学年黑龙江省双鸭山一中高二上10月月考理科数学试卷(已下线)活页作业12 直线与平面的夹角-2018年数学同步优化指导(北师大版选修2-1)人教A版(2019) 必修第二册 逆袭之路 第八章 立体几何初步 专题五 高考中的直线、平面之间的位置关系(已下线)专题23 空间点线面的位置关系-十年(2011-2020)高考真题数学分项(已下线)易错点10 立体几何中的角-备战2021年高考数学(理)一轮复习易错题(已下线)专题17 立体几何解答题(已下线)6.4 空间向量与立体几何(高考真题素材之十年高考)1(已下线)6.4 空间向量与立体几何(高考真题素材之十年高考)1 (2)(已下线)专题23 立体几何解答题(理科)-1
11-12高三·上海奉贤·期末
4 . 出租车几何学是由十九世纪的赫尔曼-闵可夫斯基所创立的.在出租车几何学中,点还是形如
的有序实数对,直线还是满足
的所有
组成的图形,角度大小的定义也和原来一样.直角坐标系内任意两点
定义它们之间的一种“距离”:
,请解决以下问题: (1)求点
、
的“距离”
;
(2)求线段
上一点
的距离到原点
的“距离”;
(3)定义:“圆”是所有到定点“距离”为定值的点组成的图形,点
求经过这三个点确定的一个“圆”的方程,并画出大致图象;(说明所给图形小正方形的单位是1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42dfb56b5bcb3c3954d7d65cc12fea49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae35beffd38dfb117b57804a9042b886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42dfb56b5bcb3c3954d7d65cc12fea49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba69c334a66df7f45e382c1528c94ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1f5820426a563fede050649122d945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca979687ffb2214e747525635a6912c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b80ac9ca466eb94c7e0354f9cacb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
(2)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80cb4d2d461646bf1d49ec66f3304ec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686be4dc7a016d6f67f9043960e46b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c7781652e183fefe7b0b8578da2735.png)
(3)定义:“圆”是所有到定点“距离”为定值的点组成的图形,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187ddb68acf4efce9542d72cf5bd491f.png)
![](https://img.xkw.com/dksih/QBM/2012/1/28/1570701930340352/1570701935984640/STEM/e564d3079d0e4d96b17a82d5a842615a.png?resizew=334)
您最近一年使用:0次