1 . “巍然古塔耸西城,炮弹横遭削不平”,诗句描述的就是位于江苏省无锡市江阴市西横街的兴国寺塔,兴国寺塔已成为江阴人民不屈不挠精神的象征,某数学兴趣小组成员为测量该塔的高度,在塔底
的同一水平面上的
两点处进行测量,如图.已知在A处测得塔顶
的仰角为60°,在
处测得塔顶
的仰角为45°,
米,
,则该塔的高度
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7cfd87c08fc5ee8723f4f263a94b576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3434c5450f52f38e9d2409f164fe2f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bedc4627a1777defeb106ef597d0db.png)
A.![]() | B.![]() |
C.![]() | D.60米 |
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2 . 若某质点的运动方程是
,(位移单位:m,时间单位:s),则该质点在
时的瞬时速度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2629f7f0eb9328f402de217c03f9311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a585d18cafc764ef0dc144feedce19.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 向量
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00e83245933825b590e7dff62f548f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
A.![]() | B.![]() | C.1 | D.0 |
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4 . 在△ABC中,角A,B,C的对边分别为a,b,c,若
,则△ABC一定是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185b302f52b77a3e3d0364f73f5b3d92.png)
A.等腰三角形 | B.直角三角形 |
C.等腰或直角三角形 | D.等边三角形 |
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名校
5 . 已知点
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d03f9cf14385633556f0f4e6c76c7bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d401876b078e318413b8ad876c54b7be.png)
A.![]() | B.![]() | C.![]() | D.4 |
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名校
6 . 设
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec08f63a4f78ef92cfa062f305ef1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.png)
A.-15 | B.15 | C.-20 | D.20 |
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7 . 计算
的结果是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2873707933f0c596bf1a3678373b5a1b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:江苏省盐城市东台市第一中学2023-2024学年高一下学期期中考试数学试题
解题方法
8 . 同时抛掷两枚质地均匀的骰子,观察向上的点数,设事件
“第一枚向上点数为奇数”,事件
“第二枚向上点数为偶数”,事件
“两枚骰子向上点数之和为8”,事件
“两枚骰子向上点数之积为奇数”,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26308ea6d8f321d27acbd7f9b131f9f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a6d85799453899836bc34ad276ec80e.png)
A.![]() | B.A与C相互独立 | C.B与D互斥 | D.B与D相互独立 |
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解题方法
9 . 向量
与
不共线,
,
(
),若
与
共线,则
应满足( )
![](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/42ac56c50229b941ed1ac7c653a3687c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ebf3930a3a995c05a833765866272a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3c2709edf306025d40299aaf455aec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3e9eb0c4bd9c899886668229c4c947.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 国家二级文化保护遗址玉皇阁的台基可近似看作上、下底面边长分别为
,
,侧棱长为
的正四棱台,则该台基的体积约为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71a41641aa0d0e45a3c03d3d2c1196b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7854968bbf6576a1fd9926ee0d4d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36b51b654efcff60d2d640b9b4c4471.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:江苏省南通市如皋中学2024届高三下学期高考适应性考试(三)(3.5模)数学试题