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本题设有(1)(2)(3)三个选考题,每题7分,请考生任选2题作答,满分14分.如果多做,则按所做的前两题计分.作答时,先用2B铅笔在答题卡上把所选题目对应的题号涂黑,并将所选题号填入括号中. (1)已知矩阵M= 1 a b 1 , N= c 2 0 d ,且 MN= 2 0 -2 0 , (Ⅰ)求实数a,b,c,d的值;(Ⅱ)求直线y=3x在矩阵M所对应的线性变换下的像的方程. (2)在直角坐标系xoy中,直线l的参数方程为 x=3- 2 2 t y= 5 - 2 2 t (t为参数).在极坐标系(与直角坐标系xoy取相同的长度单位,且以原点O为极点,以x轴正半轴为极轴)中,圆C的方程为 ρ=2 5 sinθ . (Ⅰ)C的直角坐标方程;(Ⅱ)C与直线l交A、B,若点P的坐标为 (3, 5 ) , 求|PA|+|PB|. (3)已知函数f(x)=|x-a|. (Ⅰ)若不等式f(x)≤3的{x|-1≤x≤5},求实数a的值; (Ⅱ)在(Ⅰ)的条件下,若f(x)+f(x+5)≥m对一切实数x恒成立,求实数m的取值范围.
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