名校
解题方法
1 . 已知正四棱台的上、下底面边长分别是1和2,所有顶点都在球
的球面上,若球
的表面积为
,则此正四棱台的侧棱长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d80f16c3278cd252725625dcf253cda.png)
A.1 | B.![]() | C.2 | D.![]() |
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解题方法
2 . 已知
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a820047334d2482e3521f8b33a8b002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2abeb1bbd1d18d3631152eff6b0fd0af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d76ee2e81f447f84a3e0b39c0388ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
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名校
解题方法
3 . 已知
若
则x=_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194748b2b8bd9f6b7af383577245fd4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44550cf9a8d26d7ba494e8111e487c74.png)
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名校
解题方法
4 . 在
中,
,
,
,点
,
在
边上且
,
.
,用
表示
,并求线段
的长;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fffa3d9c32da53b0ea0c338012ea20c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d03acb29a5812acad760d564d6c84be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d2c2266ea52a0a0b02860080adc5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1c3ea872a20fdc1843cb5ffce8a554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7158f12f3fdd521d37c8716a098662c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d021a5c98388463d577675e58068aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3cf0f585938ede9eca890a6eb326d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa2e529ffee0c5b492279f588cd5576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05aa7cdf450432fc9ad8327f7f90b3e5.png)
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5 . 一船以每小时15km的速度向东航行,船在A处看到一个灯塔B在南偏东
,行驶x小时后,船到达C处,看到这个灯塔在南偏西
,此时测得船与灯塔的距离为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1006d62fa5723dc36286b8f5494f993e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930fd43ecb1eb574c24bd5bc9474288e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
A.2 | B.3 | C.4 | D.5 |
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名校
6 . 近年,我国短板农机装备取得突破,科技和装备支撑稳步增强,现代农业建设扎实推进.农用机械中常见有控制设备周期性开闭的装置.如图所示,单位圆O绕圆心做逆时针匀速圆周运动,角速度大小为
,圆上两点A,B始终满足
,随着圆O的旋转,A,B两点的位置关系呈现周期性变化.现定义;A,B两点的竖直距离为A,B两点相对于水平面的高度差的绝对值.假设运动开始时刻,即
秒时,点A位于圆心正下方:则
秒时,A,B两点的竖直距离第一次为0;A,B两点水平面的竖直距离关于时间t的函数解析式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14902784a88061b7c1d5b613d241e5b.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/742787b055a358fbcd5af03ac3fa0a9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed367b88668d973e54bbae632e92c628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeb9a94e392f6759b18abed89aacc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19215074e16c7288e853d336897bead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14902784a88061b7c1d5b613d241e5b.png)
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23-24高一下·全国·期末
7 . 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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7日内更新
|
452次组卷
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5卷引用: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
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)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))
8 . 复数
的虚部是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8afcbe6f0d2119d0f5e64e478b29f15.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
9 . 已知复数
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08bfe80efdc38e1a649c5257f685768e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
10 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82a355281002ce7d471d83e59da0454.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d176af0a00680162d71e477f0a18d694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82a355281002ce7d471d83e59da0454.png)
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