名校
解题方法
1 . 某驾校拟围着一座山修建一条环形训练道路
,道路的平面图如图所示(单位:
),已知曲线
为函数
,
的图像,且最高点为
,折线段
为固定线路,其中
,折线段
为可变线路,但为保证驾驶安全,限定
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/cd700a5c-99dc-4049-95bd-00a4dab40c4c.png?resizew=218)
(1)求
、
、
的值;
(2)若
,试用
表示折线段道路
的长,并求折线段道路
长度的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b4fdab2e5b053368d50c2e8b075da4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade10415036d2bb4b834a685b2d62b3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e638e149c7ccb00ef8acf20710bcd68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46bc020faa05e667420bc351a2893b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67adb0c421b9b64df16473911366598d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06bf006d9cf9568dd567c25fd20a0c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47981a46892195dd2c2f0c30ef3e1f1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8cf2a1cde2c4e5cec818e3c58d5cb5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/cd700a5c-99dc-4049-95bd-00a4dab40c4c.png?resizew=218)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e062b576227465b4512dd653c3f16d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
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2 . 已知函数
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61228bf9a9e5bfa26e7e3eaeb48cf909.png)
.
(1)若函数
的图象过点
、
,求函数
的解析式;
(2)如图,点M、N是函数
的图象在
轴两侧与
轴的两个相邻交点,函数图象上一点
满足
,求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/064b3e9a9a7551f282b530877228cb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61228bf9a9e5bfa26e7e3eaeb48cf909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61df454f1485f9d448402586945b868.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/023c93917c96d00ea4ba399fa441a685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b97fc3360cdfc250e7eb1bf24bcb64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)如图,点M、N是函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efe6112e30f859a68339fb6793bded8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6aa5d475a3da2ee13c1a407bc6e0b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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21-22高一·湖南·课后作业
3 . 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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名校
4 . 已知函数
,其部分图象如图所示,且直线
与曲线
所围成的封闭图形的面积为
,下列叙述正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27cd15ee656d39a864fbecf781f23c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc06945468c5aaa0766fa7d6db32e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f29c3f63b8d190bae8abeb2036f4a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
A.![]() |
B.![]() |
C.![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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