名校
1 . 已知
,且
.
(1)求
的最小值m;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a521891098b625f372ff648d110afe1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a78be779a807b53897bfeea6c8e4a1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa629b250bb3e84a30472721dd687dd5.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72544819df06031b061214aa0ebd3071.png)
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2卷引用:四川省成都市第七中学2024届高三下学期热身考试数学(文)试卷
名校
解题方法
2 . 已知函数
.
(1)若
,解关于
的不等式
;
(2)若不等式
在
上有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238004df3dc97bb5c19e0dd5760956e4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d49443243d30fa8102734f7b554dd58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907e95bce05d469d84480868706d4ad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 已知
.
(1)若
,求
的值;
(2)将函数
的图象向右平移
个长度单位,再将横坐标伸长为原来的2倍,纵坐标不变,得到函数
的图象,求函数
的单调增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a927549c7bcd497b4e4e709404f6f9f5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b958a367fa2f08b6202a5a6ebf5e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64cd502af8424288431c6d6f27b89f73.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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4 . 设
,
.
(1)若x,y均为锐角且
,求z的取值范围;
(2)若
且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d018fc39fe3a5feee51a08ee8c58483e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ebed1b93046c28dd4ce381df0ca441f.png)
(1)若x,y均为锐角且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3085600fba3d8ce8403ddc8b44996f88.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7204495706847fd4c8abc55e89c9a35f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598caae9102ce0b49bdd2ea12189562d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eca80d80b6e1577762585b69145736b.png)
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2卷引用:四川省成都市树德中学2023-2024学年高三下学期适应性考试数学(文)试题
5 . 已知一扇形的圆心角为
(
为正角),周长为
,面积为
,所在圆的半径为
.
(1)若
,
,求扇形的弧长;
(2)若
,求
的最大值及此时扇形的半径和圆心角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa57d7c189fcfd360247063053fc2f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210e4cc913c2b111e67f1e033b69824a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/786cb3b718223d49726e1ad5cbd12b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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解题方法
6 . 回答下面两题:
(1)已知函数
,若对于任意
,都有
成立,求实数m的取值范围;
(2)解关于x的不等式
.
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0da7e7c8b074ad3b0c85736c8ec5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/973852dec155d3b5b9a1ac6df48c04e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(2)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce83c10d4709026d397361b4ee54ba32.png)
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名校
解题方法
7 . 已知函数
.
(1)完善下面的表格并作出函数
在
上的图象:
的图象向右平
个单位后再向上平移1个单位得到
的图象,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619577f99d791be76ddb3886ebcdebf9.png)
(1)完善下面的表格并作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4b61d912f99e5583e7e17cf8fef558.png)
0 | ||||||
1 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdedf17e4ac8ffb3f34ddbe3519ae8d0.png)
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名校
解题方法
8 . 已知函数
.
(1)求
的最小正周期和单调减区间;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd07187d7e9a6912602b23633b71cfdf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd0926788f467f1259d5380c5a7e40da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e039219978242ec380e66de6cf9bab8.png)
您最近一年使用:0次
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|
535次组卷
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2卷引用:辽宁省协作校2023-2024学年高一下学期5月期中考试数学试题
2024高三·全国·专题练习
9 . 求函数
的值域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f67245382975e0a6986b71d5797bfaa5.png)
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10 . 已知函数
.
(1)求
的单调递增区间;
(2)求不等式
的解集﹔
(3)若对任意的
,
恒成立,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec379e103331caade264b598728cc016.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfcb1e5189cda0379214d55b55800f4d.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1455cec303ebf88c0bf7a634b21051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602c850e9134b5a95819ea3add862f7e.png)
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