解:代入坐标得$m=\frac{1}{4}$ $代入y=0解得x=-\frac {1}{2},即(-\frac {1}{2},0)$
$解:(1)△=1+4m\gt 0,m\gt -\frac {1}{4}$ $(2)对称轴x=-\frac {1}{2}$ $则x_{1}=1,x_{2}=-\frac {1}{2}-1=-\frac {3}{2}$
$解:代入可得a=1,b=-10$ $∴解x^{2}-10x+16=0$ $解得x_{1}=2,x_{2}=8$
$解:易求,D(-2,-10),E(-2,-6-4a),F(-2,-6-12a)$ $由题,|(-6-12a)-(-6-4a)|=4|(-6-4a)-(-10)|$ $解得a=2或\frac {2}{3}$
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