设m,n为正整数,对一切实数t,y=x²+(3-mt)x-3mt的图像的2个交点间的距离不小于2t+n,求m,n的值
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![设m,n为正整数,对一切实数t,y=x²+(3-mt)x-3mt的图像的2个交点间的距离不小于2t+n,求m,n的值](/uploads/image/z/10690590-30-0.jpg?t=%E8%AE%BEm%2Cn%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%2C%E5%AF%B9%E4%B8%80%E5%88%87%E5%AE%9E%E6%95%B0t%2Cy%3Dx%26sup2%3B%2B%283-mt%29x-3mt%E7%9A%84%E5%9B%BE%E5%83%8F%E7%9A%842%E4%B8%AA%E4%BA%A4%E7%82%B9%E9%97%B4%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%8D%E5%B0%8F%E4%BA%8E2t%2Bn%2C%E6%B1%82m%2Cn%E7%9A%84%E5%80%BC)
设m,n为正整数,对一切实数t,y=x²+(3-mt)x-3mt的图像的2个交点间的距离不小于2t+n,求m,n的值
设m,n为正整数,对一切实数t,y=x²+(3-mt)x-3mt的图像的2个交点间的距离不小于2t+n,求m,n的值
设m,n为正整数,对一切实数t,y=x²+(3-mt)x-3mt的图像的2个交点间的距离不小于2t+n,求m,n的值
设m,n为正整数,对一切实数t,y=x²+(3-mt)x-3mt的图像的2个交点间的距离不小于2t+n,求m,n的值
y=x²+(3-mt)x-3mt
=(x+3)(x-mt)
x1=-3,x2=mt
|x1-x2|=|mt+3|》2t+n
mt+3》2t+n ①
mt+3《-2t-n ②
①=>(m-2)t》n-3 =>
②=>(m+2)t》-n-3 =>t》-(m+2)/n+3