中学生网络课堂
初三数学 (北师版)
二次函数综合
本课配套习题挑战模式1/5
单选题
难度系数：
1.如图，抛物线y=ax2-5ax+4经过△ABC的三个顶点，已知BC∥x轴，点A在x轴上，点C在y轴上，且AC=BC. 若点P是抛物线对称轴上且在x轴下方的动点，使△PAB是等腰三角形时p点有（）个。
| A: 1 |
| B: 2 |
| C: 3 |
| D: 4 |
一次做对，真牛！
+5奖励规则>
- 提示1：IOWIhuS4ieenjeaDheWGteiuqOiuujog4pGg5LulQULkuLrohbDkuJTpobbop5LkuLriiKBB4pGh5LulQULkuLrohbDkuJTpobbop5LkuLrop5JC4pGi5LulQULkuLrlupXvvIzpobbop5LkuLrop5JQ44CC
- 答案：Qw==
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
本课配套习题挑战模式2/5
单选题
难度系数：
2.如图，已知抛物线y=-
x2+
x+2的图象与x轴交于A，B两点，与y轴交于点C，抛物线的对称轴与x轴交于点D. 点M从O点出发，以每秒1个单位长度的速度向B运动，过M作x轴的垂线，交抛物线于点P，交BC于Q. 在线段BC上存在点Q，使得△DBQ成为以BQ为一腰的等腰三角形，则这样的Q点有（ ）个
x2+x+2的图象与x轴交于A，B两点，与y轴交于点C，抛物线的对称轴与x轴交于点D. 点M从O点出发，以每秒1个单位长度的速度向B运动，过M作x轴的垂线，交抛物线于点P，交BC于Q. 在线段BC上存在点Q，使得△DBQ成为以BQ为一腰的等腰三角形，则这样的Q点有（ ）个 | A: 1 |
| B: 2 |
| C: 3 |
| D: 4 |
一次做对，真牛！
+5奖励规则>
- 提示1：IOS7pUJR5Li65LiA6IWw77yM5pyJ5Lik56eN5Y+v6IO977ya4pGgQlE9RFHvvIzikaFCUT1CRD0y
- 答案：Qg==
6Kej77ya5a2Y5Zyo5Lik56eNPGJyPuKItUJR5Li65LiA6IWw77yM5pyJ5Lik56eN5Y+v6IO977ya4pGgQlE9RFHvvIzikaFCUT1CRD0y44CC
本课配套习题挑战模式3/5
单选题
难度系数：
3.抛物线y=ax2+bx+4与x轴交于A（-2，0）、B（4、0）两点，与y轴交于C点. T是抛物线对称轴上的一点，且△ATC是以AC为底的等腰三角形，点T的坐标为（ ）。
| A: （1，1） |
| B: （2，2） |
| C: （1，2） |
| D: （2，1） |
一次做对，真牛！
+5奖励规则>
- 提示1：IOiuvuebtOe6v3g9MeS4iuS4gOeCuVTvvIgx77yMaO+8ie+8jOi/nuaOpVRD44CBVEHvvIzkvZxDReKKpeebtOe6v3g9Me+8jOWegui2s+aYr0XvvIzmoLnmja5UQT1UQ+eUseWLvuiCoeWumueQhuaxguWHuuWNs+WPr++8mw==
- 答案：QQ==
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
本课配套习题挑战模式4/5
单选题
难度系数：
4.如图，已知二次函数的图象经过点A（3，3）、B（4，0）和原点O. P为二次函数图象上的一个动点，过点P作x轴的垂线，垂足为D（m，0），并与直线OA交于点C. 当m＞0时，使得△PCO为等腰三角形的p点有（）个
| A: 1 |
| B: 2 |
| C: 3 |
| D: 4 |
一次做对，真牛！
+5奖励规则>
- 提示1：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
- 答案：RA==
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
本课配套习题挑战模式5/5
单选题
难度系数：
5.如图，已知抛物线经过A（1，0），B（0，3）两点，对称轴是x=-1动点Q从点O出发，以每秒1个单位长度的速度在线段OA上运动，同时动点M从O点出发以每秒3个单位长度的速度在线段OB上运动，过点Q作x轴的垂线交线段AB于点N，交抛物线于点P，设运动的时间为t秒. T为（ ）秒时，△AON能否为等腰三角形
A:  |
B:  |
C:  |
D:  |
一次做对，真牛！
+5奖励规则>
- 提示1：IOKWs0FPTuS4uuetieiFsOS4ieinkuW9ouaXtu+8jOWPr+iDveWtmOWcqOS4ieenjeaDheW9ou+8jOmcgOimgeWIhuexu+iuqOiuuu+8jOmAkOS4gOiuoeeulw==
- 答案：RA==
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