1 . 中国数学家华罗庚倡导的“0.618优选法”在各领域都应用广泛,0.618就是黄金分割比
的近似值,古希腊的数学家毕达哥拉斯通过研究正五边形和正十边形的作图,发现了黄金分割率,黄金分割率的值也可以用
表示,即
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8382dcdb655ab1d049f8dba22fa467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3caf448beca2df4d2427360e93b599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2268e01c5ae717b00e740bea1f1cc75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d570b6ab83255a9c08707b4eeea81d40.png)
A.![]() | B.1 | C.![]() | D.![]() |
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2 . 已知
中,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1727344b2d5232181766bcb66fedb6be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f59a866c909c0592587196eada34e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:四川省成都市第七中学2023-2024学高一下学期6月月考数学试题
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3 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f27f930806d4ee1a6ac77a0fa6c340.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9df49c32fa5cfd53197f65e1af42a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f27f930806d4ee1a6ac77a0fa6c340.png)
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4 . 已知函数
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5a31b613c4f70ac62a85d3218cec12.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26c79f0f2c29d40b3c0f877f21ceca76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da812ca7643c4b5cb9a1c8432b603b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5a31b613c4f70ac62a85d3218cec12.png)
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5 . 函数
(
,
,
)的一段图象如图所示.
的解析式;
(2)若不等式
在
上恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c830f1abf387dc0a165e9a397d5636.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/9531427f246890e815b7ed47e78daa78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e988da0b9f8c43f2fc068d71ce6c968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890b9e54643e3bdf813cc1d8a287143c.png)
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6 . 已知
.
(1)求
的值.
(2)求
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/536e072eb0439a5e5b430cd55a129374.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c684f5c1cfb58c8729fbc075cee649.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a478e03877fd76050b8af0bf205d0e8c.png)
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7 . 已知
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/718d8607cabf37d05ac6c02ada39762d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbe2212c10c3da621f550e8c6409bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c40f09bd444276b0e9939f052bfd782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
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8 . 已知函数
,现有下列四个结论:①
是偶函数;②
是周期为
的周期函数;③
在
上单调递减;④
的最小值为
.其中所有正确结论的编号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1dde5408466e46933e1d5a9cbf77468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44d56336942cdaaf0bd7c1349d3afae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
A.①③ | B.③④ | C.①②④ | D.①③④ |
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2卷引用:四川省南充市西充县部分校2024届高三高考模拟联考文科数学试题
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9 . 在
中,
.
(1)求
;
(2)若
,求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83c10665b83f1036952080dcd705b1a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2卷引用:四川省南充高中2023-2024学年高三下学期第十三次月考理科数学试卷(附答案)
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10 . 记
的内角
的对边分别为
,已知
.
(1)试判断
的形状;
(2)若
,求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c080d7a9e9d57910bb399fd28174e29.png)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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