1 . 2012年7月1日,居民阶梯电价开始实行.“一户一表”的城乡居民用户电量从今往后正式按照三档收费.第一档月用电量为180度及以下,用电价格0.50元/度.第二档月用电量为181度-280度,电价0.55元/度.第三档月用电量为281度及以上电价0.80元/度.
(1)写出月电费
(元)与月用电量
(度)的函数关系式;
(2)若某户居民的电费为110元,问这户居民的用电量是多少?
(1)写出月电费
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若某户居民的电费为110元,问这户居民的用电量是多少?
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2 . 已知函数
的图象如图示,在直线
的左侧是经过两点
的线段(包括两个端点),在直线
的右侧是经过点
且解析式为
的曲线.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/22/7453969e-4941-49e3-bda5-7afa042b8318.png?resizew=178)
(1)求函数
的解析式;
(2)求
的值;
(3)求方程
的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f18a4c82fb069d6c48ea7fd0f5bb8d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d151ad090a8e4af593cf6b9365a9e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3893fcd14417c75a59e44286dd6b00b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8899f41494c272688621a2276688a0a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/22/7453969e-4941-49e3-bda5-7afa042b8318.png?resizew=178)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f18a4c82fb069d6c48ea7fd0f5bb8d8a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf30393bc334aca93a2f359425dc4f0.png)
(3)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
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解题方法
3 . 目前各地已经陆续开展供暖工作,供暖缴费方式有两种,一种是按照流量计费,另一种是按照面积计费.现一小组随机抽查某小区一单元住户进行了解后发现,当住户中有
成员按照流量方式缴费时,人均缴费费用为
(单位:元),而按照面积方式缴费的人均缴费费用不受
的影响,为固定值2100元,请根据上述提供的信息解决下面问题:
(1)当
取得何值时,满足流量方式缴费的人均缴费费用等于按照面积方式缴费的人均缴费费用;
(2)已知该小区这一单元住户的人均缴费费用计算公式为
,讨论
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8b14f79a6a77e646f2513b59f39234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19112523fc92df301042707778b78f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)已知该小区这一单元住户的人均缴费费用计算公式为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541551ec1e0109146dc5696b0d48da08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
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4 . 如图,在同一平面上,已知等腰直角三角形纸片
的腰长为3,正方形纸片
的边长为1,其中B、C、D三点在同一水平线上依次排列.把正方形纸片向左平移a个单位,
.设两张纸片重叠部分的面积为S.
![](https://img.xkw.com/dksih/QBM/2022/1/17/2896473803669504/2899180820365312/STEM/e280f33c-4a24-4c5e-8cb7-78ca8065ccd2.png?resizew=198)
(1)求
关于a的函数解析式;
(2)若
,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8dbee66892e61a6399e1c24e7541304.png)
![](https://img.xkw.com/dksih/QBM/2022/1/17/2896473803669504/2899180820365312/STEM/e280f33c-4a24-4c5e-8cb7-78ca8065ccd2.png?resizew=198)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a39e043678dd84d41c32b042239a20.png)
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5 . 我国承诺2030年前达“碳达峰”,2060年实现“碳中和”,“碳达峰”就是我们国家承诺在2030年前,二氧化碳的排放不再增长,达到峰值之后再慢慢减下去;而到2060年,针对排放的二氧化碳,要采取植树,节能减排等各种方式全部抵消掉,这就是“碳中和”,嘉兴某企业响应号召,生产上开展节能减排.该企业是用电大户,去年的用电量达到20万度,经预测,在去年基础上,今年该企业若减少用电x万度,今年的受损效益S(x)(万元)满足
.为解决用电问题,今年该企业决定进行技术升级,实现效益增值,今年的增效效益Z(x)(万元)满足
,政府为鼓励企业节能,补贴节能费
万元.
(1)减少用电量多少万度时,今年该企业增效效益达到544万元?
(2)减少用电量多少万度时,今年该企业总效益最大?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa627c8f0ed4d394d6fef72c76f0f66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aad92d0e9c79df250615d6df4d7a641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f243f34eaf50399191067701af9cf6.png)
(1)减少用电量多少万度时,今年该企业增效效益达到544万元?
(2)减少用电量多少万度时,今年该企业总效益最大?
您最近一年使用:0次
2022-01-18更新
|
557次组卷
|
4卷引用:浙江省嘉兴市2021-2022学年高一上学期期末数学试题
解题方法
6 . 如图,
,
都是边长为2的正方形,
是以
为直径的半圆,动点
从点
,经过
到达点
,再从
运动到
结束,
为
的中点,设
表示点
运动的路程,
表示线段
划过的面积.
![](https://img.xkw.com/dksih/QBM/2021/12/31/2884439504502784/2892859658633216/STEM/3ce4c486-da4b-4ce8-b15e-9aa0a1008bfb.png?resizew=181)
(1)求
关于
的表达式;
(2)当
时,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba6f4177822927b5875b92cd5f2038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bb3820bab977db734f4335e4fde720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd66776565f049eb453c14fcaf79234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bb3820bab977db734f4335e4fde720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4505508b3e36db64a207dcdaf8eb22dc.png)
![](https://img.xkw.com/dksih/QBM/2021/12/31/2884439504502784/2892859658633216/STEM/3ce4c486-da4b-4ce8-b15e-9aa0a1008bfb.png?resizew=181)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7311ec7e94854049858ebef20e56768d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f9750fbdbf5a260382c8a57c5ed332.png)
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解题方法
7 . 如图,正方形
的边长为4,动点
从
点出发,沿逆时针方向在正方形边上运动一周回到
点. 动点
走过的路程记为
连线的长度记为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/9c7e511b-87df-4414-8bb0-6015221da14b.png?resizew=152)
(1)当
时,求
的值;
(2)将
表达成
的函数;
(3)当
时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa52cb90ea1b2ef7ca9d5374e820a59e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/9c7e511b-87df-4414-8bb0-6015221da14b.png?resizew=152)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d1b79ed103afbfd370fdff59c149d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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8 . 设
为给定的实常数,若函数
在其定义域内存在实数
,使得
成立,则称函数
为“
函数”.
(1)若函数
为“
函数”,求实数
的值;
(2)若函数
为“
函数”,求实数
的取值范围;
(3)已知
(
)为“
函数”,设
.若对任意的
,当
时,都有
成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2de7166b02c5153e336ac4e00708a7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee53de59dde51125e85976f971dc9d2d.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06333fb871875fad628fc8857b9ecbc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e73ba53ae6166fea57c9c5a0840b3cfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b93f6bffe5c39116a605ce90610cd20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1343dc0971e1525baadd631913150a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9534c14690434c2946697db1c773c22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e412dbd20b8b7448fdcbd75fdf65ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c765386a72600b7cb1edefeebf85178e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/506212fb4b68267990beaa3dfa46c7b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2021-05-05更新
|
1173次组卷
|
8卷引用:上海市金山区2021届高三二模数学试题
上海市金山区2021届高三二模数学试题安徽省六安市第一中学2021-2022学年高二上学期开学考试数学试题(已下线)课时16 指数方程、对数方程-2022年高考数学一轮复习小题多维练(上海专用)(已下线)考向07 对数函数-备战2022年高考数学一轮复习考点微专题(上海专用)上海市川沙中学2022届高三上学期第一次月考数学试题辽宁省沈阳市第一二〇中学2021-2022学年高一上学期第三次质量检测数学试题(已下线)考点07 对数函数的图象与性质-备战2022年高考数学典型试题解读与变式上海市浦东新区杨思高级中学2023届高三上学期期中数学试题