已知
与
成正比例,且
时,
.
(1)求
与
之间的函数关系式,并建立平面直角坐标系,画出函数图象;
(2)结合图象,当
时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39241f2eeccaa16d0550d851619bcb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab907e757047a880cce2dc79635394cd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)结合图象,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee795c39c09c75192258194dbae7bdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/76bcceea-653f-4222-af14-d4d1e19aa67c.png?resizew=308)
更新时间:2021-01-29 21:39:35
|
相似题推荐
解答题-作图题
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适中
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【推荐1】某数学兴趣小组根据学习一次函数的经验,对函数的图象与性质进行了探究,下面是该小组的探究过程,请补充完整:
(1)列表:
x | … | 0 | 1 | 2 | 3 | … | |
y | … | b | 1 | 0 | 1 | 2 | … |
其中,______;
(2)描点并连线;
在下面平面直角坐标系中画出函数的图象;
(3)根据图象直接写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d25432b6ee64d73445a4d504cd7f38.png)
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解答题-作图题
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适中
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名校
【推荐2】如图,在
中,
,点
是
边的中点,点
是边
上的一个动点,过点
作射线
的垂线,垂足为点
,连接
.设
,
.小石根据学习函数的经验,对函数
随自变量
的变化而变化的规律进行了探究.下面是小石的探究过程,请补充完整:
![](https://img.xkw.com/dksih/QBM/2020/5/19/2466152491237376/2466949189148672/STEM/8cb9a5dd48aa4c088140263d666a74e3.png?resizew=254)
(1)通过取点、画图、测量,得到了
与
的几组值,如表:
(说明:补全表格时相关数据保留一位小数)
(2)建立平面直角坐标系,描出以补全后的表中各对对应值为坐标的点,画出该函数的图象;
![](https://img.xkw.com/dksih/QBM/2020/5/19/2466152491237376/2466949189148672/STEM/2fe84dab8aaf47bc9e6d1e28ca40a56f.png?resizew=238)
(3)结合画出的函数图象,解决问题:点
是
边的中点时,
的长度约为_______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e3899b9f84d609bd10853f3901ca43e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a456e042390cbe7ecb8fedabe2376e36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56271793938cd5947580623e92956f2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2020/5/19/2466152491237376/2466949189148672/STEM/8cb9a5dd48aa4c088140263d666a74e3.png?resizew=254)
(1)通过取点、画图、测量,得到了
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)建立平面直角坐标系,描出以补全后的表中各对对应值为坐标的点,画出该函数的图象;
![](https://img.xkw.com/dksih/QBM/2020/5/19/2466152491237376/2466949189148672/STEM/2fe84dab8aaf47bc9e6d1e28ca40a56f.png?resizew=238)
(3)结合画出的函数图象,解决问题:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97153bc3d02dfb38ee046487a8037a41.png)
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解答题-问答题
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适中
(0.65)
【推荐1】已知2y-3与3x+1成正比例,且x=2时,y=5.
(1)求y与x之间的函数关系式;
(2)求该函数与坐标轴围成的图形面积;
(1)求y与x之间的函数关系式;
(2)求该函数与坐标轴围成的图形面积;
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解答题-问答题
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适中
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名校
【推荐2】已知y与x+3成正比例,且当x=1时,y=8
(1)求y与x之间的函数关系式;
(2)若点(a,6)在这个函数的图象上,求a的值.
(1)求y与x之间的函数关系式;
(2)若点(a,6)在这个函数的图象上,求a的值.
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解答题-作图题
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适中
(0.65)
【推荐1】已知y-2与x成正比例,且x=-2时,y=0,
(1)求y与x之间的函数表达式,并画出函数的图象;
(2)利用图象直接写出,当y<0时,x的取值范围;
(3)设点P在y轴正半轴上,(2)中的图象与x轴,y轴分别交于A,B两点,且
,求P点的坐标.
(1)求y与x之间的函数表达式,并画出函数的图象;
(2)利用图象直接写出,当y<0时,x的取值范围;
(3)设点P在y轴正半轴上,(2)中的图象与x轴,y轴分别交于A,B两点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d846ca1235ccda61a188ee2483f13f.png)
![](https://img.xkw.com/dksih/QBM/2021/10/23/2835543568162816/2838155864547328/STEM/b3717e76-62bf-4e3c-a473-0aff7b3ce70b.png?resizew=231)
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解答题-作图题
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【推荐2】如图,数轴上有A,B两点,对应的数分别为
和4,动点P,Q分别从A,B同时出发都向右运动,点P的速度为4个单位长度/秒,点Q的速度为1个单位长度/秒,设P、Q的运动时间为x秒,若用
,
分别表示
和
的长度,请回答下列问题:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/24/c670eaaf-dcbc-42bc-ac40-222f76598ace.png?resizew=244)
(1)请直接写出
,
与x的关系为:
,
.
(2)在直角坐标系中画出
,
的函数图象,根据所画图象,写出一条关于函数
的性质 .
(3)观察图象,直接写出不等式
的解集为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13ce3ebd1112220c639562739f1f9d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/24/4641d942-a5f7-4274-86ca-593b8e25f992.png?resizew=317)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/24/c670eaaf-dcbc-42bc-ac40-222f76598ace.png?resizew=244)
(1)请直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f6ae805e69e5c04728f976047dad58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b54e384a072508d4754e0f1636f8f66.png)
(2)在直角坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
(3)观察图象,直接写出不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eb8949862b8eb8629408332d7e69908.png)
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解答题-问答题
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适中
(0.65)
【推荐1】已知y与x+2成正比例,当x=3时,y=﹣10.
(1)求y与x之间的函数表达式;
(2)当﹣2<x≤1时,求y的取值范围.
(1)求y与x之间的函数表达式;
(2)当﹣2<x≤1时,求y的取值范围.
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解答题-作图题
|
适中
(0.65)
【推荐2】画出函数
的图象,结合图象回答下列问题:
这个函数中,随着
的增大,
是怎样变化的?
当
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当
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9af8c3fbdb748fd11e2423de063616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495e1d58b0907f648415c13463b0aebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bb89a362c1faf4d0c306eabbb59710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9af8c3fbdb748fd11e2423de063616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9af8c3fbdb748fd11e2423de063616.png)
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