1 . 如图①长方形
,
,点P从点A出发,沿
的路线以每秒
的速度匀速运动,到达点D时停止运动.图②是点P出发x秒时,
的面积
与时间
的关系图象.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/3421ebaf-278b-4dd0-88d7-1ee11ccf1ca8.png?resizew=440)
(1)
,
(2)点P在
上运动时,
的长度
与点P运动时间
的关系式 ;
(3)点P出发几秒时,
的面积是长方形
面积的
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f52b96ec999ba7c3ecf04e13aa91bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6e4b232691562dc6ec2cd397f58809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976260cbf5e30856d4fd37a4b0a671a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7fbd6b9f85c086ac95562fe45e8d969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb194fd63b75af067ba10dee7471d299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa97e9662b5562eec0fbf01d784e491.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/3421ebaf-278b-4dd0-88d7-1ee11ccf1ca8.png?resizew=440)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
(2)点P在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/795d5254e8ff0ca3872d4ff964973628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa97e9662b5562eec0fbf01d784e491.png)
(3)点P出发几秒时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7fbd6b9f85c086ac95562fe45e8d969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
您最近一年使用:0次
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2 . 如图,矩形
中,
,
,点E为
边的中点,点F为
边上的三等分点
,动点P从点A出发,沿折线
运动,到C点停止运动.点P的运动速度为每秒2个单位长度,设点P运动时间为x秒,
的面积为y.
(2)在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,直接写出当直线
与该函数图象有两个交点时,b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.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/34a9980a064994b10855cef86dad98a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3087da5c11909dab613378fee8d471fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b51d3992644d37dc71c9b5a97d515c.png)
(2)在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,直接写出当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2689cf9f45a7c65631c71bb5105f9b81.png)
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3 . 如图,在
中,
,点D为斜边
的中点,连接
,动点E从点A出发,沿着折线
运动,速度为每秒
个单位长度,到达B点停止运动,过点E作
,垂足为点F,点G、H分别是射线
,
上的两个动点,
的长度等于点E运动的路程,
,设点E的运动时间为
,
的长度为
,BH的长度为
.
(1)直接写出
关于x的函数关系式,并注明自变量x的取值范围;
(2)在给定的直角坐标系中画出
的图象,并写出函数
的一条性质:
(3)结合函数图象,直接写出当
时,x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/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8569e70055fcefabaeb0bb3dccf806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dba8836c829cecb00be48b102ed9bbd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab00e0cff0876c4183a47f1272cf9928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6455c952982b27bbcdd421c837d56819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e786c75c85ddad42eb3b816334ee13c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/30/bd68c589-57ba-4059-b9ec-795c6ab9e2ac.png?resizew=355)
(1)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7404d4aa0f0bcfe7ebf45d3eeab3cdb6.png)
(2)在给定的直角坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7404d4aa0f0bcfe7ebf45d3eeab3cdb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
(3)结合函数图象,直接写出当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421a7d6f54bf58a7a4f4ce61e06aefa9.png)
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4 . 如图,在
中,
,
,
,点
为直角边
,
边上一动点,现从点
出发,沿着
的方向运动至点
处停止.设点
运动的路程为
,
的面积为
.(点
不与点
、
重合)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/dfd538d6-25ad-4fbd-88d6-0eb3cd622905.png?resizew=424)
(1)求
与
的函数表达式,并写出自变量
的取值范围;
(2)根据这个函数的图象,写出该函数的一条性质:________结合函数图象,当
时,直接写出
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.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/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7012d1ff11db5e150182e19646814cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2cc5f8cec8c498aa12c99c04e1c97d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/dfd538d6-25ad-4fbd-88d6-0eb3cd622905.png?resizew=424)
(1)求
![](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)根据这个函数的图象,写出该函数的一条性质:________结合函数图象,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c046439272ebfd8128fd53756c18ce4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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5 . 如图1,
中,
,
,
是
边上的高,点E是
的中点,连接
.
,若动点P分别以每秒2单位长度的速度从点B(含端点出发,沿折线B→E→A→C方向运动,当点P运动到点C(含端点)时停止运动.设运动时间为x秒,点P到
的距离为y.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/30/259fb45d-948e-4f16-bd6f-b68b6c566f4e.png?resizew=392)
(1)直接写出y关于x的函数表达式,并写出自变量x的取值范围;
(2)在图2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)若一次函数
与y的函数图象有两个交点,直接写出b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cca121a2e8b03262a1e8b2508f1c6f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520b756756c7e6236056c3f490dafa5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0213c5787a5a6b38d11bceca5567f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/999f3865279be555a8327674194f0734.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/30/259fb45d-948e-4f16-bd6f-b68b6c566f4e.png?resizew=392)
(1)直接写出y关于x的函数表达式,并写出自变量x的取值范围;
(2)在图2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)若一次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f339cee5494eeeb62868983331a3e1c.png)
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2024-03-29更新
|
218次组卷
|
2卷引用:重庆市高新区2023-2024学年九年级下学期第一次月考数学试题
名校
6 . 如图,在矩形中,
,
,点
为
的中点,动点
从点
出发,沿折线
运动,当它到达点
时运动停止,设点
运动的路程为
,
的面积为
.
(1)求出
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)根据函数图象,写出该函数的一条性质;
(3)根据函数图象,直接写出当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971751ce826c71fb6ec79969d45a9fdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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7 . 甲乙两车从A城出发匀速驶向B城,在整个行驶过程中,两车离开A城的距离
与甲车行驶的时间
之间的函数关系如图,下列结论正确的有( )个
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/8929e4b1-75ad-4225-9a31-64f62bb5a26d.png?resizew=154)
①A、B两城相距300千米;
②甲车比乙车早出发1小时,却晚到1小时;
③相遇时乙车行驶了2.5小时;
④当甲乙两车相距50千米时,t的值为
或
或
或![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad9de54606c4a72d0f8decb6b0e63b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2565497b6ba6f0cdc2be772096801c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcea0f32af0da4e4ce66764d09db9ef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/8929e4b1-75ad-4225-9a31-64f62bb5a26d.png?resizew=154)
①A、B两城相距300千米;
②甲车比乙车早出发1小时,却晚到1小时;
③相遇时乙车行驶了2.5小时;
④当甲乙两车相距50千米时,t的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59ab85c075a09d55d69e159e4abb268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6c7567972273b4ba733b47bf9d5408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac85c5876c03f5a87f9615d02acefd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad9de54606c4a72d0f8decb6b0e63b2.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
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8 . 如图1,在矩形
中,
,
,点P从点A出发,沿折线
运动,当它到达点D时停止运动,连接
,记点P运动的路程为x,
的面积为y.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/50bc5efa-a719-4fa4-a575-611951ad4653.png?resizew=388)
(1)求y与x之间的函数关系式,注明自变量x的取值范围,并在如图2所示的平面直角坐标系中画出这个函数的图象;
(2)请根据函数图象,写出该函数的一条性质:______;
(3)请根据函数图象,直接写出
时,x的值______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6e4b232691562dc6ec2cd397f58809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00da8c3b7552497ce2b510e8daef7d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7fbd6b9f85c086ac95562fe45e8d969.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/50bc5efa-a719-4fa4-a575-611951ad4653.png?resizew=388)
(1)求y与x之间的函数关系式,注明自变量x的取值范围,并在如图2所示的平面直角坐标系中画出这个函数的图象;
(2)请根据函数图象,写出该函数的一条性质:______;
(3)请根据函数图象,直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
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9 . 图中反映某网约车平台收费(元)与所行驶的路程
(千米)的函数关系,根据图中的信息,当小明通过该网约车从家到机场共收费64元,他家距离机场
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10 . 如图,在中,
点D为
中点,点P 从点 D出发,沿D→C→A方向以每秒1个单位的速度匀速运动到点A.设点P 的运动时间为x秒,
的面积为y.
(1)直接写出y与x的函数关系式,并注明x的取值范围;
(2)画出y的函数图像,观察y的函数图像,并写出一条该函数的性质;
(3)观察图像,直接写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02ebce8b2a915356ed39f36c5bad2ebe.png)
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