一个四棱锥木块如图所示,点O在△PBC内,过点O将木块锯开,使截面平行于直线PC和AB,请作出截面,即画出截面与木块表面相交的每条线段,并说明作法及理由.
21-22高一下·河北邢台·阶段练习 查看更多[3]
河北省邢台市南和区第一中学2021-2022学年高一下学期第三次月考数学试题广西桂平市麻垌中学2021-2022学年高一下学期期中考试数学试题(已下线)专题3.7 立体中的轨迹和截面问题-重难点突破及混淆易错规避(人教A版2019必修第二册)
更新时间:2022-05-07 14:43:01
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【推荐1】如图所示,今有一正方体木料
,其中M、N分别是AB、CB的中点,要过
、M、N三点将木料锯开,请你帮助木工师傅想办法,怎样画线才能顺利完成?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd694ad3a4733c7c84aaa7946aeea4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c57dc5389fb6058aa3f2302a992839.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/23583bdd-0d6e-45d0-84b5-32f5f97dc2b7.png?resizew=145)
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解答题-作图题
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【推荐2】(1)用集合语言表述下列语句:点
在平面
上,点
不在平面
上;平面
经过直线
;
(2)画出经过
、
、
三点的平面与所在几何体表面的交线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)画出经过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
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【推荐1】如图,四面体
中,
分别是
的中点,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/b85f88ac-6c7d-4ffd-b483-31e75dc2539d.png?resizew=206)
(1)求证:
平面
;
(2)求直线
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef060f61db9ad65aee0720f576a6a066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3867f437221f10647b2f5e1b18e4cbd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6559aabe16c2318687089e7cc498b98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65d5853c26657db448af610ac72cca4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/b85f88ac-6c7d-4ffd-b483-31e75dc2539d.png?resizew=206)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af142a6050b54e8b5777a085d4597481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d78fc7fcb2762de28dcef8aa3aa0e49.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4739afd7311501e948aa4e1e5c1cb17.png)
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【推荐2】如图,在多面体
中,四边形
是一个矩形,
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9efe66d99f813c6b1387392186822bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9640ef36135f01eca9f170df85f67d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31ef428bd9de9bc875b343feded3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9efe66d99f813c6b1387392186822bb.png)
![](https://img.xkw.com/dksih/QBM/2022/8/19/3048101412397056/3048670098644992/STEM/9987453538384187b041d0eef5a3813f.png?resizew=235)
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