1 . 在矩形
中,
,现将
沿对角线
折起,得到四面体
,若异面直线
与
所成角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b0c298f06cbc909a3b06d04d354b7b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2587e6d16d316d57e5e6836413489bec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b0c298f06cbc909a3b06d04d354b7b.png)
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2 . 如图,已知在平行六面体
中,底面
是边长为
的菱形,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/61cca587-3611-4c01-9f48-704779415827.png?resizew=172)
(1)求线段
的长;
(2)求异面直线
与
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701d129024368b9eea7b60aa333c3387.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/61cca587-3611-4c01-9f48-704779415827.png?resizew=172)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe764f05300ac83c7d16b685d27af4.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe764f05300ac83c7d16b685d27af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
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解题方法
3 . 已知圆
过点
,且圆心
在直线
上.
是圆
外的点,过点
的直线
交圆
于
两点.
(1)求圆
的方程;
(2)若点
的坐标为
,探究:无论
的位置如何变化,
是否恒为定值?若是,求出该定值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a728983566625a6687bb48bf464fd5e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ae1b361135eaae8d172cb7aa490d6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79188647c574441c2414c3781a0ef543.png)
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4 . 已知圆
,过点
作不过圆心的直线交圆
于
两点,则
面积的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8365d7c7c74eed93f5b9461ce31870f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/847fea08d7cb36942bd5028b2cb7707e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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5 . 在平行六面体
中,
,则点
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b4d85f18b9535f2640c3397507942a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
6 . 给出以下命题,其中正确的是( )
A.直线![]() ![]() ![]() ![]() ![]() ![]() |
B.直线![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.平面![]() ![]() ![]() |
D.已知直线![]() ![]() ![]() ![]() ![]() ![]() |
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7 . 已知点
,则向量
在向量
上的投影向量的模为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/739550bfff67c29e6c31ba7744e94f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1070a28cb9cb8553c29747d1993b16.png)
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8 . 已知空间向量
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376d5c9dae7e565f20fe77b084786d48.png)
A.![]() |
B.向量![]() ![]() |
C.向量![]() ![]() ![]() |
D.向量![]() ![]() ![]() |
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9 . 已知向量
,若
共面,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b189b00e5dd92cde97af5c52a31012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae951e0bb5a2a406f1572fc1e4964265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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10 . 已知向量
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a6eb78b76a76b2e50e566de31ce662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b741079eb5792a67559baa9b098684.png)
A.5 | B.12 | C.13 | D.17 |
您最近一年使用:0次