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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解题方法
3 . 如图,在扇形AOB中,
,
,点C在扇形AOB内部,
,
,则阴影部分的面积为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1eb76fe74cba30f7cbcde349ba80da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8ea58dc45bf719fa679db2ffa8a9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451156790ac81457a25bdfa06d867233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0590b80055f283b90bac195d99ccd44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
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解题方法
4 . 已知
,
是第四象限角,则
的值为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d57444ead804245890b18f4b8a2b4e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87a846fe363e4ae184c75f759b29c75.png)
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23-24高一下·全国·期末
5 . 如图所示,梯形
是平面图形
用斜二测画法得到的直观图,
,
,则平面图形
中对角线
的长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d609847e2ff3d64e5a514582c3ead0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9598c8022d6da9d9a29615210053432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c502451612db58b480ffa3bb12b44041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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5卷引用:甘肃省武威第十八中学2023-2024学年高一下学期期中考试数学试卷
甘肃省武威第十八中学2023-2024学年高一下学期期中考试数学试卷(已下线)专题04 立体几何初步-期期末真题分类汇编(人教A版2019必修第二册)广东省东莞市七校2023-2024学年高一下学期期中联考数学试卷(已下线)专题07 立体几何初步(1)-期末考点大串讲(人教B版2019必修第四册)(已下线)专题07 立体几何表面积、体积、截面和点线面的8种常考题型归类(1) -《期末真题分类汇编》(北师大版(2019))
6 . 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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解题方法
7 . 设向量
,
的夹角的余弦值为
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30d314a642667fef559032264647366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29276b43a2950ed71f0f9629a35dfa74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2396cac4b185cf1f1a67dad9248481c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d706bf6fdca693e77cfe740fa0baf06.png)
A.-23 | B.23 | C.-27 | D.27 |
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369次组卷
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3卷引用:甘肃省金昌市永昌县第一高级中学2023-2024学年高一下学期期中考试数学试卷
甘肃省金昌市永昌县第一高级中学2023-2024学年高一下学期期中考试数学试卷陕西省西安市南开高级中学2023-2024学年高一下学期五月月考数学试卷(已下线)高一下期末考前押题卷01-期末考点大串讲(人教B版2019)
8 . 给出下列命题,正确的命题是( )
A.向量![]() ![]() |
B.若向量![]() ![]() ![]() ![]() |
C.两个有共同起点并且相等的向量,其终点必相同; |
D.若向量![]() ![]() ![]() ![]() |
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名校
9 . 若复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63e56ebb36c73b41650508c0b24c455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
A.![]() | B.10 | C.![]() | D.20 |
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|
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2卷引用:甘肃省金昌市永昌县第一高级中学2023-2024学年高一下学期期中考试数学试卷
2023高一·全国·专题练习
名校
10 . 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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