名校
解题方法
1 . 如图,下列正方体中,
为底面的中点,
为所在棱的中点,
、
为正方体的顶点,则满足
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9279bcb7ade37b74c2f05cd30f40f99f.png)
A.③④ | B.①② | C.②④ | D.②③ |
您最近一年使用:0次
2024-05-08更新
|
203次组卷
|
2卷引用:云南省昆明市官渡区2022-2023学年高二上学期期中联考数学试卷
2 . 如图,在棱长为
的正方体
中,
是
的中点,点
是侧面
上的动点,且
截面
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b724168afaee2ecddf97257180be18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3123da0313d458c833e82aaa234b9117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a211ad5a06b505b8365a62c1946f3cb7.png)
A.直线![]() ![]() |
B.点![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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3 . 如图,在长方体
中,
,
,
为
的中点.
;
(2)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7d64fc81c857b124268609a8beb77b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fa81c1f81266b4ef3d471bc6bfc38d.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2331bccb6ebf5b9fd639df994f575a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
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4 . 直线
与
轴,
轴分别交于点
、
,以线段
为直径的圆的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b45090bb8afbc1222a78460d42ee61d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 已知圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a259dddccc3cfe8f81735cd5834785d.png)
,圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf1bce17440e83c1b735d2954010a2a.png)
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a259dddccc3cfe8f81735cd5834785d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf1bce17440e83c1b735d2954010a2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c243166f0156eb48058066ad4fbaaed.png)
A.圆心距![]() | B.当![]() ![]() |
C.若圆![]() ![]() ![]() | D.若圆![]() ![]() ![]() |
您最近一年使用:0次
6 . 已知圆C:
,则下述正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c171c8206321869c402f0caf587b8747.png)
A.圆C的半径![]() | B.点![]() |
C.圆C关于直线![]() | D.圆![]() ![]() |
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7 . 已知圆C:
和直线l:
.
(1)写出圆C的标准方程;
(2)当m满足什么条件时,直线l和圆C相交.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3553b724e4e5451788e53c6882eeb18c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f125758adf2071b9f8f54931e972e969.png)
(1)写出圆C的标准方程;
(2)当m满足什么条件时,直线l和圆C相交.
您最近一年使用:0次
8 . 已知向量
,
,则
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7bd271d93a044ade2270267707392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2774bb3f735a9f20e709a86441476dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3c6bd21d9c27a68b970f446f04d6df.png)
您最近一年使用:0次
解题方法
9 . 在△ABC中,点
,
,
,则
的面积为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26e951d6d2369e8da79a793a93a66a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f3cd3027a533dd07220f161c958602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff17a82049cfd9eaddea2842a446cc23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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10 . 已知点
,O为坐标原点,若动点
满足
.
(1)试求动点P的轨迹方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1d918e7fb74176679d526cdfc8fa16.png)
(2)过点P作y轴的垂线,垂足为Q,试求线段PQ的中点M的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba65799dcde53f166030a28b498818d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f94bf266a2a3c92575a438a941cd485b.png)
(1)试求动点P的轨迹方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1d918e7fb74176679d526cdfc8fa16.png)
(2)过点P作y轴的垂线,垂足为Q,试求线段PQ的中点M的轨迹方程.
您最近一年使用:0次