名校
1 . 某商场零食区改造.如图,原零食区是区域
,改造时可利用部分为扇形区域
,已知
,
米,
米,区域
为三角形,区域
是以
为半径的扇形,且
.
外轮廓地面贴广告带,求广告带的总长度;
(2)在区域
中,设置矩形区域
作为促销展示区,求促销展示区的面积
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0947161887af7b78afde80c0cd647d58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d276b69c758da6bf9e2fb7f63130bd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab51246d895d2a255f3314c853000ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdcc8f70e441df3433765f5218c81c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ebb33adb2310a6e03918761e68204a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb802b0cd77d772dceff0d9ff6c879ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81cbbac19ce207b72c990195854f6fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
(2)在区域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d276b69c758da6bf9e2fb7f63130bd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e5c1767a5719a03062ebb0fc5067b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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解题方法
2 . 在锐角
中,内角A,B,C的对边分别为a,b,c,已知:
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899965855c91e639fb333dc936da2af.png)
(1)求b和角B;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6426c8c9ef90d8009595b0fcc0b5ffe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899965855c91e639fb333dc936da2af.png)
(1)求b和角B;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed951363174bfc4032b2c0f4b94dd59.png)
您最近一年使用:0次
3 . 如图,一个水轮的半径为4m,水轮圆心O距离水面2m,已知水轮每分钟转动5圈,如果当水轮上点P从水中浮现时(图中点
)开始计算时间.
(2)点P第一次到达最高点大约需要多少时间?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
(2)点P第一次到达最高点大约需要多少时间?
您最近一年使用:0次
解题方法
4 . 已知函数
,设点
是
图象上的任意两点,且当
时,
的最小值为
.
(1)求
的解析式;
(2)若
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06cc23acbcb770b8feb351931b56ea40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de77ee0b176035fd3a89edc2ad957a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7486c01826011978005b02a00347b299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24acaad3e4a83c102702155e5df281e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41c5fe5117c4042f0c24f4d523b7f90.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cad74d23e6f581aef7dac0153c94dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eebfab29cfe27f7b255fdbbb9ac30db9.png)
您最近一年使用:0次
5 . 将函数
图象上所有点的横坐标缩短为原来的
,纵坐标不变,再将所得函数的图象向右平移
个单位长度,最后将所得函数的图象上所有点的纵坐标伸长为原来的2倍,横坐标不变,得到函数
的图象.
(1)求
的解析式,并写出其振幅,最小正周期和初相;
(2)求
的最值以及取得最值时
的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ac3e1432957734d372d8485fb84de1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
6 . 已知函数
的最小正周期为
.
(1)求函数
的单调区间和对称轴方程;
(2)若
,且函数
在区间
上的值域为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9f4b97178758b51f1af4a7bd68a6b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c17b42f1c9c582a380c466ca4df1fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61dff5b63913762b3be82e55a18f3847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6bfefa5b41faae17987876d570685d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
您最近一年使用:0次
名校
7 . 已知函数
,
.
(1)若
,求实数
的值;
(2)若函数
有两个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a340ac69a0f166700417309547d2cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e703cfbd69ddc733b2643a6788072b7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f8e4debfb6aa241a787da106c359f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
8 . 在
中,内角
的对边分别是
,且
,
.
(1)求角B;
(2)若
,求边
上的角平分线
长;
(3)若
为锐角三角形,求边
上的中线
的取值范围.
![](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/40dceaac09ee5587cdf4b09d9b82b692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
(1)求角B;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e658a5aee39ea75e9076aed714ee451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
您最近一年使用:0次
2024-04-01更新
|
1894次组卷
|
4卷引用:安徽省合肥市中国科学技术大学附属中学2023-2024学年高一下学期第一次月考数学试题
安徽省合肥市中国科学技术大学附属中学2023-2024学年高一下学期第一次月考数学试题安徽省定远中学2023-2024学年高一第六次阶段检测数学试卷湖南省常德市汉寿县第一中学2023-2024学年高一下学期3月月考数学试题(已下线)第9章:解三角形章末综合检测卷(新题型)-【帮课堂】(人教B版2019必修第四册)
名校
9 . (1)已知函数
,求函数的值域.
(2)已知函数
,
,求函数的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7130975c0f316cc7411013b11b4fc4cb.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b815f215940351f7298c6885bfbaaef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5caabda288fc01cc168938846eec5d2.png)
您最近一年使用:0次
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10 . 已知函数
.
(1)若
,求函数
的单调递增区间;
(2)当
时,函数
的最大值为1,最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5a951a4a8df40e4779d213f33ee8e6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef28320eb8d03e779cce80052aa84df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cab48111d86894eaa7becfc8a40339a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa78f06633b64c70b3d25bf84b7c191.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
您最近一年使用:0次
2024-03-24更新
|
900次组卷
|
2卷引用:安徽省马鞍山市2023-2024学年高一上学期2月期末数学试题