点M(x,y)在函数y=-2x+8的图象上,当x∈[2,5]时,求的取值范围.

M(xy)在函数y=-2x8的图象上,当x[2,5]时,求的取值范围.

答案

【解】 的几何意义是过M(xy)N(1,-1)两点的直线的斜率.

M在函数y=-2x8的图象上,且x[2,5]

设该线段为ABA(2,4)B(5,-2)

设直线NANB的斜率分别为kNAkNB.

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