21-22高一·湖南·课后作业
解题方法
1 . 某市对家庭每月用水的收费规定为:若用水量不超过基本月用水量
,则只付基本费8元和损耗费
元(
);若用水量超过基本月用水量,则除了需付基本费和损耗费外,超过部分还需按
元
进行付费.已知该市某家庭1—3月的用水量分别为
,
和
,其支付的费用分别为9元,19元和33元.试写出每月支付费用
(元)关于月用水量
的函数,并画出函数的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf090346d9e8610df47cd19950736998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00d5d0f323a78951ceb046e68f6e892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91293ad12c4d0812604f29af9bc2aa59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70e55f816b182201ad9a62e86d0b4ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65fa882483eec61b3394edc3548211af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fe783f10311be4e71e098027d9d2a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e85989d362a00eff3b940d6472cb40e0.png)
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2 . 画出函数
的图象,并根据图象写出
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae40430099c08442eb46892d734bf2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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20-21高一·江苏·课后作业
3 . (1)用长为30
的铁丝围成矩形,试将矩形面积S(单位:
)表示为矩形一边长x(单位:
)的函数,并画出函数的图象;
(2)用细铁丝围一个面积为1
的矩形,试将所用铁丝的长度l(单位:
)表示为矩形的某条边长x(单位:
)的函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ce13774b09ff2edddaf21a072cf60a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
(2)用细铁丝围一个面积为1
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ce13774b09ff2edddaf21a072cf60a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
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20-21高一·江苏·课后作业
4 . 画出下列函数的图象:
(1)
;
(2)
,
;
(3)
,
;
(4)
,
;
(5)
,
;
(6)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be01f5cb16c638ab48e5180c684d5ec.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be01f5cb16c638ab48e5180c684d5ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f802e660df7dcce77096270fa5a10839.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ede389b43c78417912542746d91d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966b60302d80d8613675bb3dd5c03164.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7594d76eeed8629f58bb1d766687a25b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966b60302d80d8613675bb3dd5c03164.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca97e3aa8061c4d8e621c5598c69b13b.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1804c8cc2797e07d5a08f480ea0b69e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3606fd3966dc72e0f8a32047945a86e2.png)
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20-21高一·江苏·课后作业
解题方法
5 . 画出函数
的图象,并指出函数
的零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44dd7971bb643fafff132288b4880e66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44dd7971bb643fafff132288b4880e66.png)
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6 . 函数
,
,
的图象如图所示,
(2)以已有图象为基础,在同一直角坐标系中画出
,
,
的图象;
(3)从(2)的图中你发现了什么?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc5bbf1426b9fa7c4d49659797ef34ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78620c52c1e8b94b828d50863bf3926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f0fadbe551b0e0eb7bf9440be740b9.png)
(2)以已有图象为基础,在同一直角坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6b95762e409c1f256579274e574a44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4a90955ae3a90343d164a91e5f835c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c8482dfde23310a44a27ca915a4314.png)
(3)从(2)的图中你发现了什么?
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2021-11-21更新
|
1189次组卷
|
6卷引用:人教A版(2019) 必修第一册 逆袭之路 第四章 4.4 对数函数 小结
20-21高一·江苏·课后作业
7 . 已知函数
在y轴右边的图象如图所示.
是偶函数,试画出函数
在y轴左边的图象;
(2)若
是奇函数,试画出函数
在y轴左边的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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20-21高一·江苏·课后作业
解题方法
8 . 先画出下列函数的图象,再求出每个函数的值域:
(1)
,
;
(2)
,
;
(3)
,
;
(4)
,
为正实数.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1804c8cc2797e07d5a08f480ea0b69e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8f34a7653d92ad0162066b2170aec7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58bbbdde60cf4f80c3ea6a1740edba5.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ede389b43c78417912542746d91d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04e67e37fbf0c78aeb7278a9ae1cb8.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6201963fcdd54887f2af50518bd908a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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20-21高一·江苏·课后作业
解题方法
9 . 画出函数
的图象,并求出
,
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432fff0c3e388a419cc5fe778570753b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14be574d4eaf7f7e0d2b28ade7f3ea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c683a4f70bada8d71e2fb6364c691f83.png)
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