名校
解题方法
1 . 如图,已知四棱锥
的底面是正方形,点E是棱PA的中点,
平面ABCD.
平面BDE;
(2)求证:平面
平面BDE;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2597b5554284e275367c25529c6750f.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
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名校
2 . 已知平面向量
,
,
,且
,
.
(1)求
和
;
(2)若
,
,求向量
和向量
的夹角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27acda0d95efa6fb5ca9a57759e1702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58bdb1cdb08ed2ed7e70b5246f45d0cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e509349f83a9fb9340d4de7e90cd5c35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03481e6a73207be03fdbc1f8e9965b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a36228810d0c2f6c6e53584c1ac176b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98cfc96a17c0ed837bd8bfabdda5217.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd89e2066303543b96c0ee4b5d64d35c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e163480714acc9dae5005cac65d217d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c37564ec4e9e92485f1769e8ffaac31d.png)
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3 . 如图,某货轮在A处看灯塔B在货轮的北偏东
,距离为
海里,货轮由A处向正北航行到D处时,再看灯塔B在北偏东
,则A与D间的距离为________ 海里.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a4c9b697e3df2b5469b71d3b5e47a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f52f128086257ab7513889dbf6c7550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
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2023高一·全国·专题练习
名校
4 . 已知
,
,
,
是平面上的4个定点,
,
,
不共线,若点
满足
,其中
,则点
的轨迹一定经过
的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/c5db41a1f31d6baee7c69990811edb9f.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbf7be8ba716bd4b67a2bce6e7379f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b8e5990ef4ef314941a3154457a9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.重心 | B.外心 | C.内心 | D.垂心 |
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5 . 已知
,
.
(1)求
的值;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75083d2a3f62c22971c6ef543e237420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bfdb5f50c0514b2b7cb83b2c29407b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a975174b697129d6cc7bdaeaa9d5de71.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db538adbb2706f0b3b9dae38cc438f74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b2942c97548f9e6699d8d27209550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
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2024-06-14更新
|
465次组卷
|
2卷引用:甘肃省天水市第一中学2023-2024学年高一下学期第二次段中检测(6月)数学试题
名校
解题方法
6 . 如图,正方体
的棱长为1,动点
在线段
上,
分别是
的中点,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a56afb8c84a2105d525b84b6862a5426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7835c72d14f9d61b95b15aa47fafac2.png)
A.![]() | B.当![]() ![]() ![]() |
C.三棱锥![]() | D.直线![]() ![]() ![]() |
您最近一年使用:0次
2024-06-14更新
|
609次组卷
|
2卷引用:甘肃省天水市第一中学2023-2024学年高一下学期第二次段中检测(6月)数学试题
7 . 已知向量
,
,若向量
满足
,且
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40c3bef47eca74c23c275cc0ea1839b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6208cbf9f9ca96d25ac39d654553764.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c588e4834835093ae1924af016a0f98a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ddc0023301ada62ceafa81b4a89a64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26abac73b9cb1af5c5d8e8c2dd136bbb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 在△ABC中,角A,B,C所对的边分别为a,b,c,且
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c907405247260f828116c806b066d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc20d351d51723c9b0a07a20ac14114.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 在平行四边形
中,
,
,
,M是
边上的中点,则
可以表示为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54468af5365f7746cbc36a8473a280c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9206f052cc7298fdf9049f9386f53928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df107a0db8e7084e46cbf0edc9dd4878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6d728b430549f00bb9c0a7bf8bf7d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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