解题方法
1 . 已知
分别为锐角三角形
三个内角
的对边,且
.
(1)求
;
(2)若
,
为
的中点,求中线
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c976d105c27de505f83e7e40da698b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d3ac959ebcb005ec9ebaff52f4ac70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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昨日更新
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3卷引用:湖北省新高考联考协作体2023-2024学年高一下学期5月联考数学试题
湖北省新高考联考协作体2023-2024学年高一下学期5月联考数学试题(已下线)专题05 解三角形大题常考题型归类-期期末考点大串讲(人教B版2019必修第四册)云南省大理市2023-2024学年高一下学期6月质量检测数学试题
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解题方法
2 . (1) 化简 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a896a89ede966ea5b07e73cbf6dde8.png)
(2) 若
,且
、
都是锐角,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a896a89ede966ea5b07e73cbf6dde8.png)
(2) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a377adce5d2bed23c30ecbbf887934e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfea1e888676a13ad69c72fba0405ea.png)
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3 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e0b7ea88c249f732cc72307c201d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd93e024f9da7dc64037b7fb47a79b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知
,且
.
(1)求
,
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1eca7f8e63042b1c98badc0d9e36af1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353b4f6ed38b5bd83d2f0fa64d686cef.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8c56d09485b718a85ed23f637e2d77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a86df8b3934891c1d2e9016f6c4477.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f15d37ff33a395f8d35659abf4a34f0f.png)
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2024高三下·全国·专题练习
解题方法
5 . 已知函数
,若
,则直线
与
的图象的交点个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/190c405a8a581cdd0143625b676a27dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a23dd03e66619068c1288858293fae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43aaa2d429c2c41808d5b0c4e3992aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.3 | B.4 | C.5 | D.6 |
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解题方法
6 . 已知函数
(
,
,
),函数
和它的导函数
的图象如图所示.
的解析式;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8665842489bc1b588fa43d34730fd1d8.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/1cd96f7773d92c1706dc09b50d4b25e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f9118a785e2a7cd22a89019798ff0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b19be062e4169a627153ad78c093c3af.png)
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7 . 已知函数
.
(1)求
的最小正周期;
(2)求
在闭区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d20f706f200f49072e2a4b575681a94.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2431dc757af794f3d0617626f07f233.png)
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2卷引用:广东省佛山市顺德区2023-2024学年高一下学期3月月考数学试题
名校
解题方法
8 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e888ea14da893971e13858945bf0cd.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f7698dd5a062fbd47f3a253f9590ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d28eab3b97cbeff2ff5527a0603ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e888ea14da893971e13858945bf0cd.png)
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2卷引用:黑龙江省佳木斯市第一中学2023-2024学年高三第三次模拟考试数学试题
2023高一上·全国·专题练习
9 . 利用公式
,证明:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb006ea697b63a914eb487073f0abe1.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95d314e91c622febc8861ea32dd71fab.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857ad304c9845431a3c734f41fc198d0.png)
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10 . 已知函数
,直线
是函数
的图象的一条对称轴.
(1)求函数
的单调递增区间;
(2)已知函数
的图象是由
的图象上各点的横坐标伸长到原来的4倍,然后再向左平移
个单位长度得到的,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/506b1cf84c709dd92502c2f7747c1505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24db7b603aebdee8e298d1fe49c848e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2998635874659f6427d8305170a682a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f798a9af75a091a8be0b71f2038260.png)
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2023-10-15更新
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