我们知道‖x‖={x(x>0),0(x=0),-X(x0),0(x=0),-X(x
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我们知道‖x‖={x(x>0),0(x=0),-X(x0),0(x=0),-X(x
我们知道‖x‖={x(x>0),0(x=0),-X(x0),0(x=0),-X(x我们知道‖x‖={x(x>0),0(x=0),-X(x0),0(x=0),-X(x
(1)可令x+2=0,和x-4=0分别求得x=-2和x=4,所以‖x+2‖和‖x-4‖的零点值的零点值分别为x=-2和x=4
(2)因为‖x+2‖和‖x-4‖的零点值分别为x=-2和x=4,所以有:
(1)x
(1)令x 2=0,得x=-2,则|x 2|的零点值为-2.
令x-4=0,得x=4,则|x-4|的零点值为4.
(2)由(1)知,x=-2和x=4可将|x 2| |x-4|分为3个段:
①x<-2时,原式=-x-2 -x 4=-2x 2
②-2≤x<4时,原式=x 2-x 4=6
③x≥4时,原式=x 2...全部展开
(1)令x 2=0,得x=-2,则|x 2|的零点值为-2.
令x-4=0,得x=4,则|x-4|的零点值为4.
(2)由(1)知,x=-2和x=4可将|x 2| |x-4|分为3个段:
①x<-2时,原式=-x-2 -x 4=-2x 2
②-2≤x<4时,原式=x 2-x 4=6
③x≥4时,原式=x 2 x-4=2x-2
综上所述,原式={x=-2x 2(x<-2);x=6(-2≤x<4);x=2x-2(x≥4)}收起
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