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初三数学 (苏教版)

第六章二次函数

二次函数综合

运用二次函数解决一元二次不等式00:11:29

二次函数压轴题——三角形面积问题00:18:01

如何解决二次函数中的最值问题00:13:32

二次函数压轴题——等角问题00:15:54

二次函数应用——投资问题解决策略00:08:25

二次函数应用——面积最值问题解决策略00:14:37

如何解决由直线运动产生的面积问题00:15:39

二次函数应用——销售利润问题解题策略00:09:22

二次函数动点问题——图形面积的解决策略00:11:51

10.

如何解决二次函数的线段最值问题00:11:31

11.

二次函数压轴题——等腰三角形问题00:12:06

12.

二次函数压轴题——直角三角形问题00:14:50

13.

二次函数压轴题——线段和的最小值问题（二）00:11:21

14.

二次函数压轴题——线段和的最小值问题（一）00:11:17

15.

二次函数规律探究问题（一）00:09:41

16.

二次函数规律探究问题（二）00:14:47

17.

二次函数压轴题——平行四边形问题00:14:40

18.

二次函数压轴题——矩形问题00:15:02

19.

二次函数压轴题——菱形问题00:15:27

20.

二次函数压轴题——正方形问题00:12:25

21.

二次函数压轴题——动点路径问题（二）00:14:07

22.

二次函数压轴题——动点路径问题（一）00:10:33

23.

二次函数压轴题——等腰梯形问题00:11:57

24.

二次函数压轴题——直角梯形问题00:11:40

25.

二次函数压轴题——梯形问题00:09:33

26.

函数背景下相似的动点问题（一）00:13:35

27.

函数背景下相似的动点问题（二）00:13:20

28.

函数背景下相似的动点问题（三）00:10:47

本课配套习题挑战模式1/5

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单选题

难度系数：

1.定义：若抛物线的顶点与x轴的两个交点构成的三角形是直角三角形，则这种抛物线就称为：“美丽抛物线”. 如图，直线l：y=

x+b经过点M（0，

），一组抛物线的顶点B₁（1，y₁），B₂（2，y₂），B₃（3，y₃），…B_n（n，y_n）（n为正整数），依次是直线l上的点，这组抛物线与x轴正半轴的交点依次是：A₁（x₁，0），A₂（x₂，0），A₃（x₃，0），…A_n+1（x_n+1，0）（n为正整数）. 若x₁=d（0＜d＜1），当d为（　　）时，这组抛物线中存在美丽抛物线.

A:

B:

C:

D:

提示1：IOeUseaKm+eJqee6v+eahOWvueensOaAp+WPr+efpe+8jOaJgOaehOaIkOeahOebtOinkuS4ieinkuW9ouW/heaYr+S7peaKm+eJqee6v+mhtueCueS4uuebtOinkumhtueCueeahOetieiFsOS4ieinkuW9ou+8jOaJgOS7peatpOetieiFsOS4ieinkuW9ouaWnOi+ueS4iueahOmrmOetieS6juaWnOi+ueeahOS4gOWNii4g5Y+IMO+8nGTvvJwx77yM5omA5Lul562J6IWw55u06KeS5LiJ6KeS5b2i5pac6L6555qE6ZW/5bCP5LqOMu+8jOaJgOS7peetieiFsOebtOinkuS4ieinkuW9ouaWnOi+ueeahOmrmOS4gOWumuWwj+S6jjHvvIzljbPmipvniannur/nmoTlrprngrnnurXlnZDmoIflv4XlrprlsI/kuo4xLg==
答案：Qg==
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