1 . 如图,在南北方向有一条公路,一半径为100
的圆形广场(圆心为
)与此公路所在直线
相切于点
,点
为北半圆弧(弧
)上的一点,过点
作直线
的垂线,垂足为
,计划在
内(图中阴影部分)进行绿化,设
的面积为
(单位:
),
![](https://img.xkw.com/dksih/QBM/2020/2/24/2406147876872192/2406584251752448/STEM/b47cf668-6825-415c-a805-f95075b6e2c4.png?resizew=207)
(1)设
,将
表示为
的函数;
(2)确定点
的位置,使绿化面积最大,并求出最大面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745e0525a41fe2e2a7739c75a942290b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe6f6ad331cdd5646a2489668892b7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe6f6ad331cdd5646a2489668892b7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d7b4bb12628d5ed455d814b8aafa1f.png)
![](https://img.xkw.com/dksih/QBM/2020/2/24/2406147876872192/2406584251752448/STEM/b47cf668-6825-415c-a805-f95075b6e2c4.png?resizew=207)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2374848745e15d9a1b7f96f2c594a6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)确定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2020-02-25更新
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4卷引用:2020届江苏省南京师大附属扬子中学高三下学期期初数学试题
名校
解题方法
2 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129ec6d0854fd4688acdf8fea9f2c974.png)
的周期是
,则下列叙述正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129ec6d0854fd4688acdf8fea9f2c974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797d393e720ebe07e9b11b6dacfdd63f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2020-02-21更新
|
1409次组卷
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5卷引用:江苏省镇江市扬中市第二高级中学2021-2022学年高一下学期期初数学试题
江苏省镇江市扬中市第二高级中学2021-2022学年高一下学期期初数学试题江苏省淮安市2019-2020学年高一上学期期末数学试题(已下线)专题12 三角函数(1)-2020年新高考新题型多项选择题专项训练湖南省邵阳市邵东市第一中学2020-2021学年高一上学期第三次月考数学试题(已下线)5.6 函数y=Asin(ωx+φ) -2021-2022学年高一数学同步辅导讲义与检测(人教A版2019必修第一册)
名校
3 . 如图,在某商业区周边有 两条公路
和
,在点
处交汇,该商业区为圆心角
,半径3
的扇形,现规划在该商业区外修建一条公路
,与
,
分别交于
,要求
与扇形弧相切,切点
不在
,
上.
(1)设
试用
表示新建公路
的长度,求出
满足的关系式,并写出
的范围;
(2)设
,试用
表示新建公路
的长度,并且确定
的位置,使得新建公路
的长度最短.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce89b633e5d6bcf9406e3f9208fe06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e95de0ae1fcd4b2f187b29c458b449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933c90cbb666deff47133e9548cc4794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/2017/9/18/1776882719383552/1777428077436928/STEM/2c78d417545a4bc498f6929de43e4992.png?resizew=122)
您最近一年使用:0次
2017-09-19更新
|
1569次组卷
|
3卷引用:江苏省泰州中学2018届高三上学期开学考试数学试题