名校
1 . 已知
、
两地之间的路程为
,甲从
地到
地,乙从
地到
地,两人同时出发,各自到达目的地后并停止相应的运动,出发2小时后,甲第一次与乙相遇,相遇后甲再行驶4小时到达目的地,乙比甲先到达目的地,甲乙两人之间的距离为
,运动时间为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d4413db6e30c6443561a322c464a39.png)
关于
的函数关系式,并注明
的取值范围;
(2)在给定的平面直角坐标系中,画出这个函数的图像,并写出该函数的一条性质;
(3)结合函数图像,直接写出
时
的取值范围.(结果保留1位小数,误差不超过0.2)
![](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/d5167ec8605a15265d019fb1c718adf0.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d93394a0262fd242bb1522b9eeeebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d4413db6e30c6443561a322c464a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)在给定的平面直角坐标系中,画出这个函数的图像,并写出该函数的一条性质;
(3)结合函数图像,直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f969ae0fc60f0217fd26f23eb225a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2024-01-20更新
|
297次组卷
|
2卷引用:重庆市第八中学校2023-2024学年八年级上学期期末考试数学试题
2 . 如图,在等腰
中,
,
,点D为
中点,点P从点D出发,沿
方向以每秒
的速度匀速运动到点A.设点P的运动时间为x秒,线段
的长度为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/5685855b-86b5-4e50-aafb-805dcb45ef71.png?resizew=342)
(1)请直接写出y关于x的函数关系式并注明自变量x的取值范围;
(2)在给定的平面直角坐标系中,画出这个函数图象,并写出该函数的一条性质;
(3)结合函数图象,直接写出当
的长度与
的长度相等时x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011586f46c6f0c37d0f2e85fb69bb4c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6d6597d07c8e98ca0c21d2527942ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e30c48f684a26bffb321567c29e437d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d0ab561d0c9bb9099772c596af8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc933c59790e1e90837c1ffe02f449f9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/5685855b-86b5-4e50-aafb-805dcb45ef71.png?resizew=342)
(1)请直接写出y关于x的函数关系式并注明自变量x的取值范围;
(2)在给定的平面直角坐标系中,画出这个函数图象,并写出该函数的一条性质;
(3)结合函数图象,直接写出当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
3 . 如图是丰都一天(凌晨0时到深夜24时)的气温变化图,在这一天中,气温随着时间变化而变化,下列结论错误的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/e426f836-0fb2-444f-af71-4b0b7fb91173.png?resizew=356)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/e426f836-0fb2-444f-af71-4b0b7fb91173.png?resizew=356)
A.在这一天中,气温在14时达到最高,最高温度是![]() |
B.凌晨2时气温达到最低 |
C.6时到12时,气温在逐渐上升 |
D.某旅行团这天想去爬山,登山的气温最好在![]() |
您最近一年使用:0次
4 . 如图,正方形
边长为
,动点
,
均以每秒
个单位长度的速度同时从点
出发,
沿折线
方向运动,
沿折线
方向运动,当两点相遇时停止运动.设运动的时间为
秒,点
,
的距离为
.
关于
的函数关系式并注明自变量
的取值范围;
(2)在给定的平面直角坐标系中,画出这个函数图象,并写出该函数的一条性质;
(3)结合函数图象,直接写出点
,
相距
个单位长度时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd66776565f049eb453c14fcaf79234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3087da5c11909dab613378fee8d471fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)在给定的平面直角坐标系中,画出这个函数图象,并写出该函数的一条性质;
(3)结合函数图象,直接写出点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af2fdf1944afebb51cb6a5e6c74aadd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
5 . 通过《一次函数》的学习,我们学会了列表、描点、连线的方法来画出函数图象并结合函数图象研究函数性质.小明想应用这个方法来探究函数
的性质.下面是他的探究过程,请你补充完整:
___________.
(2)描点并画出该函数的图象.
(3)观察
的图象,类比一次函数,请写出该函数的两条性质:①___________________②________________________
(4)在平面直角坐标系中,我们将横、纵坐标均为整数的点称为整点.则该函数图象与直线
围成的区域内(不包括边界)整点的个数为___________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a19a59a25e39838246f46a6cd4567fe.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | 0 | 1 | ![]() |
![]() | ![]() | 3 | 2 | 1 | 0 | 1 | 2 | ![]() | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
(2)描点并画出该函数的图象.
(3)观察
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a19a59a25e39838246f46a6cd4567fe.png)
(4)在平面直角坐标系中,我们将横、纵坐标均为整数的点称为整点.则该函数图象与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
您最近一年使用:0次
2024-01-12更新
|
154次组卷
|
3卷引用:重庆市第七中学校2023-2024学年八年级下学期第一次定时作业数学试题
6 . 如图,在矩形
中,
,
,点E为
的中点,动点P,Q同时从点E出发,点P以每秒1个单位长度沿折线
方向运动到点A停止,点Q也以每秒1个单位长度沿折线
方向运动到点B停止.设运动时间为x秒,
的面积为y.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/02c001c1-70d3-4435-b7b4-03998639bcd1.png?resizew=288)
(1)请直接写出y关于x的函数表达式并注明自变量x的取值范围;
(2)在给定的平面直角坐标系中画出这个函数的图象,并写出该函数的一条性质;
(3)若直线
与y的图象有且只有一个交点,请直接写出m的取值范围________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9704dedcb0bb5ab0e8dae1b7e93561b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784c0943df86c6729de9503c316bacd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/02c001c1-70d3-4435-b7b4-03998639bcd1.png?resizew=288)
(1)请直接写出y关于x的函数表达式并注明自变量x的取值范围;
(2)在给定的平面直角坐标系中画出这个函数的图象,并写出该函数的一条性质;
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e4c6b0d5d741ba353f3152bc5c4505.png)
您最近一年使用:0次
2024-01-09更新
|
821次组卷
|
2卷引用:重庆市九龙坡区育才中学校2023-2024学年九年级上学期期末数学试题
名校
7 . 如图,在直角梯形
中,
,
,
边的长为4,
边的长为8,
边的长为5.动点P从点B出发,以每秒2个单位的速度沿
运动,到达点D停止运动.点E为
边的中点,连接
,设点P的运动时间为x秒(
),三角形
的面积为y.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/67da5d4c-0023-4421-b657-849f6625777f.png?resizew=403)
(1)请直接写出y关于x的函数关系式;
(2)在给定的平面直角坐标系中画出
关于x的函数图象,并写出一条该函数的性质;
(3)当函数图象与直线
有两个交点时,k的取值范围为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccfc06739ab01294379f26e1c8124a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/491586434ebc38a382d22107efbe4333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2f8124e539f045b01e89b667cb18ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5fa7dd60b071d132afbfdaf170c1020.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/67da5d4c-0023-4421-b657-849f6625777f.png?resizew=403)
(1)请直接写出y关于x的函数关系式;
(2)在给定的平面直角坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(3)当函数图象与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5733efd4750ee079179e6700cc2338d8.png)
您最近一年使用:0次
8 . 如图1,
为等边三角形,
,点D从B点出发,以每秒1个单位长度沿着
运动到A点停止,作
交直线
于E,设
,点D的运动时间为x.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/884b7014-c8de-4e71-918c-498694789ed1.png?resizew=314)
(1)直接写出y与x之间的函数表达式,并写出对应x的取值范围:
(2)在图2的平面直角坐标系中画出y的图象,并写出函数y的一条性质;
(3)写出
时x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66d0d708d016862a351e4206ee73865.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/884b7014-c8de-4e71-918c-498694789ed1.png?resizew=314)
(1)直接写出y与x之间的函数表达式,并写出对应x的取值范围:
(2)在图2的平面直角坐标系中画出y的图象,并写出函数y的一条性质;
(3)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d1b79ed103afbfd370fdff59c149d2.png)
您最近一年使用:0次
名校
9 . 如图,在矩形
中
,
,点
从A出发沿线段
向点
运动,到达点
时停止.作
,交折线
于点
,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8711eddf26d11fc974dfb6da4b640918.png)
,
.
与
的函数表达式以及对应的
的取值范围;
(2)在直角坐标系中画出
的图象,并写出函数
的一条性质;
(3)若
,结合函数图象,直接写出
时
的取值范围.(结果保留1位小数,误差不超过
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ace52b64e1e7dfc5211e033255b7d.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9caf47639ff9218ef27068ee10c265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcc497b16c43b39596b64d77c969771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8711eddf26d11fc974dfb6da4b640918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bdd7f221d03e79880cd13db4011c9d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca394cdfb2a39b6bc7fd2a555ea995d.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/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)在直角坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7617f4ea2194c9322aebb384eb7a11c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb60758fe459335cc73b776f104f2994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4646418552dc060ebda1232361a01295.png)
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2024-01-03更新
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3卷引用:重庆市沙坪坝区第八中学校2023-2024学年九年级上学期期中数学试题
10 . 如图,在矩形
中,
,
.动点
从点
出发,沿折线
向终点
运动,点
的速度每秒
个单位.设点
的运动时间为
,设
的面积为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/83676606-f6d4-4f70-93a6-4480a0a5de9b.jpg?resizew=323)
(1)直接写出
关于
的表达式和取值范围,并在给出的平面直角坐标系中画出相应的图象;
(2)写出一条关于该函数的性质;
(3)若函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f347a1bd45e8fe728bef4952ff2e6f6.png)
,请直接写出当
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f33b98ae79b7be22113b1ebc41be98.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/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18eaed5e51f1e0be4f756230c41c6504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357265c532428e886a643e8e653eec9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/83676606-f6d4-4f70-93a6-4480a0a5de9b.jpg?resizew=323)
(1)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)写出一条关于该函数的性质;
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f347a1bd45e8fe728bef4952ff2e6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac9ce39a18e1f39c5e8d28dbefe6030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61225fc3018783559cfbfe0adbd5fa02.png)
您最近一年使用:0次