設a,b為實數,若|2x+a|≤ b之解為-3< x< 5 則(a,b)=?
回答 (2)
設a,b為實數,若|2x+a|≤ b之解為-3<= x<=5 則(a,b)=?
Sol
-3<=x<=5
-6<=2x<=10
-6-2<=2x-2<=8
|2x-2|<=8
a=-2,b=8
x>a+b x<(a+2b+1)/2 所以:a+b=3 (a+2b+1)/2=5 解得:a=-3,b=6 b-a=9
收錄日期: 2021-04-30 21:40:07
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