名校
解题方法
1 . 已知点
,点
为原点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d54bcff5ffecbd3e4dea284d273638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8840adf41cb679f98b8bcb81ef4afd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb8731c539ba9ecf87f2fd501b77fbef.png)
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257次组卷
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3卷引用:江苏省连云港市海州高级中学2023-2024学年高一下学期期中学情调查考试数学试题
2 . 如图,为了测量某建筑物的高度OP,测量小组选取与该建筑物底部
在同一水平面内的两个测量基点
与
.现测得
米,
20米,在测量基点
测得建筑物顶点
的仰角为
,则该建筑物的高度OP为____________ 米.
![](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/e720e101184647f20c062a492e5b67af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a836d2dfc31d2bfc949bac8403cf2a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
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3 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe37f4368957fc9acd074d6634923fa.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2970a6edd396d10826a92b71c9d3fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe37f4368957fc9acd074d6634923fa.png)
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4 . 角
的终边上有一点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
_______________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90acecacaab778257a1a1e903b2028a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
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5 . 已知扇形的半径为2,圆心角为2弧度,则该扇形的面积为______ .
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6 . 简谐运动可以用函数
,
表示,其中
,
.则初相为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5560425727c95ea2e57e657fad919d5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
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7 . 一般地,函数
(其中
)的最小正周期是________ ,把
图象上所有点的横坐标缩短(当
时)或伸长(当
时)到原来的________ 倍(纵坐标不变),就得到
的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae26042cc00e3d363ac747ecd087f63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00288a55aeecf48d33cdc1277307c90d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219e526faaa7fb02d01ec55b947a9dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8b79682b1872ca13d4d119adc01613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae26042cc00e3d363ac747ecd087f63.png)
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8 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b729f3bcad3527fd911eb71de25a64f9.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b729f3bcad3527fd911eb71de25a64f9.png)
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9 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994d6e7f47b3b98aa848c05d0af8f65e.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994d6e7f47b3b98aa848c05d0af8f65e.png)
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10 . 在
中,已知
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c885e8032706feed854495e0f608aa04.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c885e8032706feed854495e0f608aa04.png)
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