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已知二次函数y=ax2+bx+c的图像x轴交于(x1, 0)(x2, 0)两点,且0小于x1小于1,1小于 x2小于2, 与y轴交于点(0. -2), 下列结论正确的是
a, 2a+b大于1
b, 3a+b大于0
c, a+b小于2
d, a小于-1
人气:406 ℃ 时间:2020-06-14 16:57:47
解答
c = -2c/a = x1x2 > 0 ===> a < 0-b/a = x1 + x2 ===> b = -a(x1 + x2)3a + b = 3a - a(x1 + x2)= a(3 - x1 - x2)x1 < 2,x2 < 2 ===> x1 + x2 < 3 ===> 3 - x1 - x2 > 0 ===> a(3 - x1 - x2) > 0选b
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