1 . 函数
相邻的两个零点分别为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc574389b74c0e846657b2e24ffe115f.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd5543f6cc0a25deb6410dd48cce9cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d3c0e7508ff7fd36faba07a0aa41ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc574389b74c0e846657b2e24ffe115f.png)
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2 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/161d39fa1cb0e994941c02bd4ab971b1.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8529a52e32b12244bd535641221e83e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/161d39fa1cb0e994941c02bd4ab971b1.png)
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3 . 已知
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9fcaa804011c37873b03ee284504fe.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef966cdd137b3b10e290201b4d17542e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c98ce1bd8a5ffe3e18b4033d4ade5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc282dae4ac9132196ac5d13f63b901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f836697b6e7daec4ab093779fff51923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9fcaa804011c37873b03ee284504fe.png)
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4 . 我国汉代数学家赵爽为了证明勾股定理,创造了一幅“勾股圆方图”,后人称其为“赵爽弦图”.类比赵爽弦图,用3个全等的小三角形拼成了如图所示的等边
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a71a9d21f77e9535de152bb33f802bb.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221a091e823526ce02a78be01068c01d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0ba1776a7c0bac5141407836e12153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a71a9d21f77e9535de152bb33f802bb.png)
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7日内更新
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392次组卷
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2卷引用:辽宁省大连市第十二中学2023-2024学年高一下学期6月份学情反馈数学试卷
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解题方法
5 . 已知锐角
的内角A,B,C所对的边分别为a,b,c,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6ab658dbf3871377867d6dd424e3aa.png)
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6ab658dbf3871377867d6dd424e3aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2896ce95f3e3c430f7bca35d620781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ecc3aaae2aa289591a3b632f1e0645.png)
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6 . 在
中,三边
,
,
所对应的角分别是
,
,
,已知
,
,
成等比数列.若
,数列
满足
前
项和为
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c88abd936125401c8d7e3bc21f4396.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f483e6500ce1b37f5a0174df467b793e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c65f5e623016ca8ab0a9e91e24775a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c88abd936125401c8d7e3bc21f4396.png)
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7 . 如图,圆柱的轴截面为矩形
,点
,
分别在上、下底面圆上,
,
,
,
,则异面直线AM与CN所成角的余弦值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39cb5abf7b33f248efaa4e50fa2c260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e161fd4d515439c00b211b1a830378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
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8 . 已知函数
(
,
,
),对任意实数x都有
,
,且
在
上单调,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcd3cea5f5e2fe943490dcb65d74c73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e1734dcc7697235124fbaba4ba6033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdfc0dc7f8377db5db04debf01f335bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f0e0711be37ac3a30f7387328502cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9bd1711aa580ad27a07083d069302d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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9 . 若函数
在区间
上的最大值为
,最小值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d06ad126eef8c33fdcd8a55107fe7d.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b36420641c5a8cc67975fc24152533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f041e45e00b71ff9773d2412e5de2d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d06ad126eef8c33fdcd8a55107fe7d.png)
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解题方法
10 . 在
中,已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91c76dcf8b4e58e3252d26be3976abe4.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52881c57c830613ea6fee34072e49329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91c76dcf8b4e58e3252d26be3976abe4.png)
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