如图①,排球场长为
,宽为
,网高为
.某校排球队员站在底线O点处向正前方发球,球从点O的正上方
的C点发出,运动路线是抛物线的一部分(如图②),当球运动到最高点A处时,高度为
,即
,这时水平距离
.以直线
为x轴,直线
为y轴,建立平面直角坐标系.
(1)求球运动的高度
与水平距离
之间的函数关系式(不必写出x的取值范围)
(2)根据比赛规则,发球过网,使其落在对方区域的地面上且不出界即为有效发球.请判断这次发球是否为有效发球(即能否过网?是否出界?),并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d4166fee97516ad1b1d4759a8e4ce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a276be57f98560667fd0b54aed088437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f695e247a53bfff5663f8667f4ba6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0dbd5d3f66fef2370ba16f41cc799d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc43c5acd8cfe56a01e556937b988586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d7373d5ce98993003325c2c21d3031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f7c9ca0c8fe6b9784005b0cf615874a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/b75b9c8e-31d2-413a-b5f7-843ce62b1f47.png?resizew=494)
(1)求球运动的高度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/835cbdbbfa0718c2f7b70cfb41ba5ad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f193416fbd3c6270c178009aaa27c255.png)
(2)根据比赛规则,发球过网,使其落在对方区域的地面上且不出界即为有效发球.请判断这次发球是否为有效发球(即能否过网?是否出界?),并说明理由.
更新时间:2024-03-02 08:48:01
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【推荐1】如图,关于
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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【推荐2】已知抛物线
.
(1)若抛物线与y轴的交点为
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(2)已知抛物线与y轴的交点在y轴正半轴上,与x轴有交点.若点
,
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(2)已知抛物线与y轴的交点在y轴正半轴上,与x轴有交点.若点
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【推荐1】如图,排球运动员站在点
处练习发球,将球从
点正上方的
处发出.球每次出手后的运动路径都是形状相同的抛物线,且抛物线的最高点
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米,球网高度
米,且
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(1)当
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(2)当
时,排球能否越过球网?是否出界?请说明理由;
(3)若该运动员调整起跳高度,使球在点
处落地,此时形成的抛物线记为
,球落地后立即向右弹起,形成另一条与
形状相同的抛物线
,且此时排球运行的最大高度为
米,球场外有一个可以移动的纵切面为梯形的无盖排球回收框![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c26eecfbc344ad71ef85da2f3577ef.png)
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,其中
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内
球下落 过程中碰到点
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【推荐2】掷实心球是中考体育考试项目之一,实心球投掷后的运动轨迹可以看作是抛物线的一部分,建立如图所示的平面直角坐标系,从投掷到着陆的过程中,实心球的竖直高度y(单位:m)与水平距离x(单位:m)近似满足函数关系
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(1)第一次投掷时,实心球的水平距离x与竖直高度y的几组数据如下:
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(2)第二次投掷时,实心球的竖直高度y与水平距离x近似满足函数关系
.记实心球第一次着地点到原点的距离为
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,则
_______
(填“>”“=”或“<”).
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(1)第一次投掷时,实心球的水平距离x与竖直高度y的几组数据如下:
水平距离x/m | 0 | 2 | 4 | 6 | 8 | 10 |
竖直距离y/m |
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(2)第二次投掷时,实心球的竖直高度y与水平距离x近似满足函数关系
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