甲,乙两车从
地驶向
地,乙车比甲车早行驶
,并且在途中休息了
,休息前后速度相同,如图是甲乙两车行驶的距离
与时间
的函数图像.
(1)
______;
(2)求出乙车行驶路程
与时间
的函数表达式,并写出相应的
的取值范围:
(3)当甲车行驶多长时间,两车恰好相距
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c176558537cd011dec12c14ae91bd71b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99db54cd205ef343478cdedae389071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2565497b6ba6f0cdc2be772096801c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94aea3b53b983a2ec6345f3d8eb294d8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/1eb78594-b864-41e1-86c1-d96a8bade12d.png?resizew=187)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
(2)求出乙车行驶路程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2565497b6ba6f0cdc2be772096801c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94aea3b53b983a2ec6345f3d8eb294d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)当甲车行驶多长时间,两车恰好相距
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3fb33e7fb8709bd8d5db686644d50b.png)
更新时间:2024-02-22 19:48:50
|
相似题推荐
解答题-问答题
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【推荐1】(拓展题)如图,将一条数轴在原点
和点
处各折一下,得到一条“折线数轴”.图中点
,
,
表示的数分别为
,10,18,我们称
,
两点在折线数轴上的路程为28个单位长度.动点
从点
出发,以2个单位长度
秒的速度沿着“折线数轴”向右运动,在
段运动期间速度变为原来的一半.点
从点
出发的同时,点
从点
出发,以1个单位长度
秒的速度沿着“折线数轴”向左运动,当点
到达点
时,点
,
均停止运动.设运动的时间为
秒.
(1)当
时,点
和点
在折线数轴上相距 个单位长度;当
时,点
和点
在折线数轴上相距 个单位长度;当
时,点
和点
在折线数轴上相距 个单位长度.
(2)当
为多少时
,
两点相遇?相遇点
所表示的数是多少?
(3)在动点
改变速度前的某一时刻,
,
两点在数轴上的距离与
,
两点在数轴上的距离相等.求出此时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e22e1223baf7cb3d53e668c2449609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4333bb203d02814c146ed587b69ea69d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4333bb203d02814c146ed587b69ea69d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.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/2433e75cec12c62131f569ae4bcbc13c.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/822921b3e0b6db0ce9c8b4a56043e9e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)在动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/13/bc978cda-329a-4798-9b18-3548f0830a8e.png?resizew=245)
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名校
【推荐2】已知数轴上有
,
两点,分别代表−
,
,甲,乙两人分别从
,
两点同时出发,甲沿线段
以
个单位长度/秒的速度向右运动,甲到达点
处时运动停止,乙沿
方向以
个单位长度/秒的速度向左运动.
,
两点间的距离为 个单位长度;乙到达
点时共运动了 秒.
(2)甲,乙在数轴上的哪个点相遇?
(3)多少秒时,甲、乙相距
个单位长度?
(4)若乙到达
点后立刻掉头并保持速度不变,则甲到达
点前,甲,乙还能在数轴上相遇吗?若能,求出相遇点所对应的数;若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8705db804c79b661adba7da15cb31f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f179a5e46197a7f5f5646fefd47c1989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ff8c8d239cc12ddc3a899e9f054aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)甲,乙在数轴上的哪个点相遇?
(3)多少秒时,甲、乙相距
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f43677db00ba65a7f96fc49627d70.png)
(4)若乙到达
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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【推荐1】如图所示,在一个边长为
的正方形四个角上,都剪去一个大小相等的小正方形,当小正方形的边长由小到大变化时,图中阴影部分的面积随之发生变化.
(1)如果小正方形的边长为
,图中阴影部分的面积为
,写出y与x的关系式;
(2)当小正方形的边长由
变为
时,阴影部分的面积减少了多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689ff84e2d7f52c7446ef789a54557da.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/1/911d73f0-3c14-4cb7-8e58-9d2e63ab09fd.png?resizew=120)
(1)如果小正方形的边长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3160fce05b551569b8c7b5de6dd8b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0033dcf0bc05bf877c412a7834d11a6b.png)
(2)当小正方形的边长由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d0ab561d0c9bb9099772c596af8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a9eed64d225267a58cd001db67e2a3.png)
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【推荐2】某市为了鼓励居民节约用电,采用分段计费的方法按月计算每户家庭的电费.月用电量不超过200度时,按0.55元/度计费;月用电量超过200度时,其中的200度仍按0.55元/度计费,超过部分按0.70元/度计费.设每户家庭月用电量为x度时,应交电费y元.
(1)当月用电量不超过200时,y与x的函数关系式为 ,当月用电量超过200度时,y与x的函数关系式为 .
(2)小新家十月份用电量为160度,求本月应交电费多少元?
(3)小明家十月份交纳电费117元,求本月用电多少度?
(1)当月用电量不超过200时,y与x的函数关系式为 ,当月用电量超过200度时,y与x的函数关系式为 .
(2)小新家十月份用电量为160度,求本月应交电费多少元?
(3)小明家十月份交纳电费117元,求本月用电多少度?
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【推荐1】小明和爸爸进行登山锻炼,两人同时从山脚下出发,沿相同路线匀速上山,小明用8分钟登上山顶,此时爸爸距出发地
米,小明登上山顶立即按原路匀速下山,与爸爸相遇后,和爸爸一起以原下山速度返回出发地.小明、爸爸在锻炼过程中离出发地的路程
(米),
(米)与小明出发的时间
(分)的函数关系如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/4b98d391-a04a-47c8-a524-d5fe80b85804.png?resizew=204)
(1)图中
______,
______;
(2)小明上山的速度______米/分;小明下山的速度______米/分;爸爸上山的速度______米/分.
(3)小明的爸爸下山所用的时间______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514e9fb0780f5034a50554c9cf0c15ee.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/4b98d391-a04a-47c8-a524-d5fe80b85804.png?resizew=204)
(1)图中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
(2)小明上山的速度______米/分;小明下山的速度______米/分;爸爸上山的速度______米/分.
(3)小明的爸爸下山所用的时间______.
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【推荐2】已知小明家、公共健身区、超市依次在同一条直线上,公共健身区距离小明家
,超市距离小明家
.小明从家里出发,匀速慢跑
到公共健身区,在公共健身区进行锻炼;接着他匀速快走
到达了超市,在超市短暂停留了
购买商品;最后,他匀速散步
回到家中.下面图中
(单位:
)表示小明离开家的时间,
(单位:
)表示小明离家的距离.图象反映了这个过程中小明离家的距离与小明离开家的时间之间的对应关系.
(1)填表:
(2)填空:①超市到公共健身区距离为___________
;
②小明在公共健身区进行锻炼的时间为___________
;
③小明从超市返回到家的速度为___________
;
④当
时,请直接写出
关于
的函数解析式.
(3)当小明离开家
时,妈妈带着弟弟从家出发以
的速度匀速步行直接去超市,那么她们在去超市途中遇到小明时离家的距离是___________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bdfc2310c633362e6197a49e9b34406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8330b0f740103e1dec9647b0e603e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87bdf5de95ec58ecb9145a9e866ce25b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff7bd14dff10d89fecce5141998f4af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a8ce2876a30cbc48955b0db9846562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713b17367705951b031a6f9146f91052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ce48eafd36547782174eb304d4a003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5022abc6afd4deff13845419fa38312e.png)
(1)填表:
小明离开家的时间(单位:![]() | ![]() | ![]() | ![]() | ![]() |
小明离家的距离(单位:![]() | ![]() | ![]() |
(2)填空:①超市到公共健身区距离为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5022abc6afd4deff13845419fa38312e.png)
②小明在公共健身区进行锻炼的时间为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ce48eafd36547782174eb304d4a003.png)
③小明从超市返回到家的速度为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c66403fe76d80235960a47320203ff.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143a266d00cdec1d2375361a4126cc28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)当小明离开家
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92aeb72427c4012fef33a62419b42e42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782f561cda6ee38eb8809ce5b7963983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5022abc6afd4deff13845419fa38312e.png)
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【推荐3】快、慢两车分别从相距180 km的甲、乙两地同时出发,沿同一路线匀速行驶,相向而行,快车到达乙地停留一段时间后,按原路原速返回甲地.慢车到达甲地比快车到达甲地早
h,慢车速度是快车速度的一半,快、慢两车到达甲地后停止行驶,两车距各自出发地的路程y(km)与所用时间x(h)的函数图像如图所示,请结合图像信息解答下列问题:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/15/5738d236-332e-4416-9753-1b68e86fe68e.png?resizew=245)
(1)请直接写出快、慢两车的速度;
(2)求快车返回过程中y(km)与x(h)的函数关系式;
(3)两车出发后经过多长时间相距90 km的路程?直接写出答案.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
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(1)请直接写出快、慢两车的速度;
(2)求快车返回过程中y(km)与x(h)的函数关系式;
(3)两车出发后经过多长时间相距90 km的路程?直接写出答案.
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