名校
解题方法
1 . 如图半圆
的半径为1,
为直径
延长线上一点,且
,
为半圆上任意一点,以
为一边作等边三角形
,当
的大小为_______ 时,四边形
面积最大,最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07445aa3909818a3ef93bb01182f545f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902f97913e1af1e6c793f7edfe6b2114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08361173b096d18b33210a955e109f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90d1f16f84c10769aaa7a6d87bea075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b978a095d4bac4da3a807575d9b35e8e.png)
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2 . 已知函数
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bda318adf65c6b6fd45f651365f52346.png)
(1)求
的最大值
(2)写出
与
的大小关系,并给出证明
(3)试问
能否作为
三边长?若能,给出证明,并探究
的外接圆的半径是否为定值?若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1044dcf4fba551e1b7fbfeb895ea08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bda318adf65c6b6fd45f651365f52346.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b692262286e03cc0536598789fab8699.png)
(2)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88fd5c1ef0fc722337a4984834829c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7bb46b41cd3f1f9b5621c20bf7fe07.png)
(3)试问
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b799aaa36edd0d10fc38925ce2e55045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-06-12更新
|
157次组卷
|
2卷引用:福建省泉州市安溪第八中学2023-2024学年高一下学期6月份质量检测数学试题
名校
解题方法
3 . 在
中,角A,B,C的对边分别为a,b,c,点D为边AC的中点.已知
,且
,则BD最大时角B的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de92d6e3bc9f83ff8e424ee9e4b33ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 有一直角转弯的走廊(墙面与顶部都封闭),已知走廊的宽度与高度都是3米,现有不能弯折的硬管需要通过走廊,若不计硬管粗细,则可通过的最大极限长度为______ 米.
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名校
解题方法
5 . 记
的内角
的对边分别为
.已知
,则
的取值范围为__________ .
![](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/2a92cfa82ed0e7652b482635e72a84ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc940e481607daedc1e83e98ec3bd4c0.png)
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6 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f61daa9ee80b1b367d630e74827403e0.png)
A.当![]() ![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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7 . 已知函数
的部分图象如图所示,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6b53eab9bc542dcbc8d7c9642bd3e8.png)
A.![]() |
B.函数![]() ![]() |
C.函数![]() ![]() ![]() |
D.函数![]() ![]() |
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8 . 已知
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725321a4e0204c6e213e487ef1b2dca0.png)
(1)若
,求与
共线的单位向量;
(2)求函数
的单调递增区间;
(3)若
,求函数
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65956dc2c1b45b07fe114e19d76e3c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425cf2568fc3bece2fe3886b4f4c06c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725321a4e0204c6e213e487ef1b2dca0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c6cb0cc172657611e286e7fa669584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47dd5fc03cf0d593fcf67b5d18d1c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc32ea97a4b737447170ea48666c7c6.png)
(其中
)其中图象的两条相邻对称轴间的距离为
.
(1)若
在
上有最大值无最小值,求实数
的取值范围;
(2)将函数
的图象向右平移
个单位长度;再将图象上所有点的横坐标变为原来的2倍(纵坐标不变),得到
的图象,设
,求
在
的极大值点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc32ea97a4b737447170ea48666c7c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa2f6379167a309af0bac11ff84061a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d45c738904d7aea7b2aa9caa2aa315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d82a35d60f8332fbb844b06c4ead506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595cb506ef4232f3fbb6b5c6921f61a5.png)
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解题方法
10 .
中,内角
、
、
的对边分别为
、
、
,且
.
(1)若
,试判断
的形状,并说明理由;
(2)若
,则
的面积为
,求
,
的值;
(3)若
为锐角三角形,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/fa2f9aa3afe9f50954d9bc787a8a2ce8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae7e59e7d1e6814416c15d8abaa8d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8080fef9bdfa92ae70f3e314eef3e3.png)
您最近一年使用:0次
2024-05-08更新
|
593次组卷
|
3卷引用:福建省福州市第十五中学等五校2023-2024学年高一下学期期中联考数学试题
福建省福州市第十五中学等五校2023-2024学年高一下学期期中联考数学试题河南省驻马店市新蔡县第一高级中学2023-2024学年高一下学期5月月考数学试题(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)