名校
解题方法
1 . 在锐角
中,内角A,B,C所对的边分别为a,b,c,满足
.
(1)求证:
;
(2)若
,求a边的范围;
(3)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8e5ce6c55a720a332a08c07f1a89a1.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2264c134952d41fb9bcb90e6c72c83.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9563e5c29f03707996eb761fba29ce21.png)
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7日内更新
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4卷引用:【北京专用】高一下学期期末模拟测试B卷
(已下线)【北京专用】高一下学期期末模拟测试B卷四川省内江市第六中学2023-2024学年高一下学期期中考试数学试卷(已下线)【高一模块二】类型2 以解三角形为背景的解答题(B卷提升卷)湖北省武汉市第六中学2023-2024学年高一下学期6月月考数学试卷
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2 . 已知函数
.
(1)若
,求x的取值;
(2)若对于任意
,都有
成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45883a911a321b63aee4fc9be786061e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
(2)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9c48e36f2c35dd8308029445332aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3fce0b7ef89dc5ea77542985ee152ff.png)
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解题方法
3 . 已知
.当
,
时,
的取值范围为
,则
的一个取值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f0e855911b392669d0ef75556bbed8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0db2cae2e4d9c51adb60fe0a4da5caa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ee82af4668ec0a4ec3e2159561e122.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2023-05-11更新
|
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5卷引用:北京市海淀区北京大学附属中学行知学院2022-2023学年高一下学期期中数学试题
北京市海淀区北京大学附属中学行知学院2022-2023学年高一下学期期中数学试题北京高一专题03三角函数(第三部分)(已下线)专题04 分类讨论型【讲】【通用版】(已下线)专题04 分类讨论型【讲】【北京版】1(已下线)专题08 三角函数的图象与性质(1)-【寒假自学课】(苏教版2019)
21-22高三上·北京·期中
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4 . 已知函数
.
(1)求
的单调递增区间;
(2)若
在区间
上的最大值是
,求
的取值范围;
(3)令
,如果曲线
与直线
相邻两个交点间的距离为
,求
的所有可能取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f734c7bab5a46c252054c0c7c58c1c38.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb37d173605f006df4c51ba63b1841d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2665cce8924f0d96c37e25ffdc982d7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d74c0570f3ef4fff3e0ba34204f8d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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5 . 数列
中
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6a2f1bfdc4c1f262d7775ad7f6ce4e.png)
(1)
时,求
;
(2)证明:若存在
,其中
,设
的取值范围设为
,
;
(3)若
,求
的取值个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e076d53e0fab96afda46ff7ac1689dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6a2f1bfdc4c1f262d7775ad7f6ce4e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3129ddd2ea97fd010b9e0b644225da8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed6fe44bc49b478979589face327799.png)
(2)证明:若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bd42f8e3f220a7b1c6f6945e73bc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9153fb853cd99beec9e600a4eaf73fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5b5f7e398a382c96b3bdcb0b4b2a6f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc473418716524061f271116d3f0b065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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6 . 已知函数
且
.
(1)当
时,求不等式
的解集;
(2)当
时,不等式
恒成立,求实数b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f3f0d72a4eaa35cabb4287c4364ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256f3981024e53f373a80aad40e994ae.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc28091777ba9464b236f8b2c7f19a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d24227741bf427e6bd73490baf3c3d6.png)
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2023-03-13更新
|
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3卷引用:北京市顺义区牛栏山第一中学2022-2023学年高一下学期3月月考数学试题
名校
7 . 设函数
,
①若
,则不等式
的解集为___________ ;
②若
,且不等式
的解集中恰有一个正整数,则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711a65c36cdd87a7cdf26f9b84e5c49b.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a3b43fb07a1d631b294dbf6f0f58713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4acda6b6464db27e1ec18a1522406d2.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a023ef8a7a5d94029b08b4cb30422e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4acda6b6464db27e1ec18a1522406d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-05-05更新
|
1055次组卷
|
3卷引用:北京市海淀区2023届高三二模数学试题