名校
1 . 在
ABC中,f(x)=2sinAcos2
+cosAsinx,2
=a2-b2-c2
(1)B=120°,g(x)=2f(2x),求y=g(x)的最值与单调区间
(2)f(
)=
,求B的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e6601d263b19580134453c3a246adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7698b6843e478ec785a902b90f834e4e.png)
(1)B=120°,g(x)=2f(2x),求y=g(x)的最值与单调区间
(2)f(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65af1d6b6b831ebbdc36dda5f304a3a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb00a19477b29b325a5e334207f6b18.png)
您最近一年使用:0次
解题方法
2 . 给出8个函数:①y=2x,②y=(
)x,③y=log2x,④y=log0.5x,⑤y=x2,⑥y=
,⑦y=sinx,⑧y=tanx.下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2973c517357bda8864af94e0d56b7e8c.png)
A.定义域是R的函数共有6个 | B.偶函数只有1个 |
C.图象都不经过第三象限的函数共有6个 | D.满足f(x+2π)=f(x)的函数只有2个 |
您最近一年使用:0次
2021-11-02更新
|
246次组卷
|
2卷引用:湖南省三湘名校、五市十校教研教改共同体2022届高三上学期第一次大联考数学试题
3 . 如图所示的是某地区一“月牙湖”的示意图,该湖的湖岸线由一段半圆弧(弧
),抛物线的一部分(曲线
)和两条平行且相等的线段(
与
)组成,其中
为半圆弧的圆心,且为抛物线的顶点.已知
,
,在半圆弧
上选取一点
,在曲线
上选取一点
,使得
,现欲在
与
两点间建一座桥,且桥长为
.
![](https://img.xkw.com/dksih/QBM/2021/11/26/2859578566828032/2865472683745280/STEM/8f420767-185a-41ef-9896-c3410f062b63.png?resizew=248)
(1)设
,
,试写出
关于
的函数表达式;
(2)假设桥的修建费按桥面每平方米
元来计算,桥宽为
,且桥面为矩形,当桥长
达到最大值时,试问修建费共需多少万元?并求此时
的值(单位:
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/564743a1fe463a981f06914e3cb5e03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c84c1e5a8fac655a06374d15813fd5e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edfaf064eebdb1ef119dca3eb73bd744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/564743a1fe463a981f06914e3cb5e03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3bbc948e3db266a4d0f1b1c8474355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
![](https://img.xkw.com/dksih/QBM/2021/11/26/2859578566828032/2865472683745280/STEM/8f420767-185a-41ef-9896-c3410f062b63.png?resizew=248)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91659c48df1d3099346bb34fd277ff54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9921dbdd7b942132aae2fb8e1082a25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)假设桥的修建费按桥面每平方米
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ac61206cb12cf6686bb0facf635010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36b51b654efcff60d2d640b9b4c4471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766a81bd0afbfc4a6aeff49f91d7f193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe2e03840cb2f0c7a89cb2b6153c7d9.png)
您最近一年使用:0次
21-22高一·湖南·课后作业
4 . 已知一正弦电流
随时间
的部分变化曲线如图所示,试写出
关于
的函数解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaec40b4fc857f46af4cf115356069b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b72a49d07621605de309e11cd16412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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