求解第11.15题,过程最好详细点,好人一生平安,谢谢!
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11、解:因为:f(5+t)=f(5-t)对于任意实数t都成立,所以:f(9)=f(5+4)=f(5-4)=f(1),即:f(9)=f(1)
f(13)=f(5+8)=f(5-8)=f(-3),即:f(13)=f(-3)
由题意知:f(1)<f(-1)<f(-3),故:f(9)<f(-1)<f(13) 选C
15、解:由题意知:-1 ≤ x+(1/4) ≤ 1且 -1≤ x-(1/4) ≤ 1
解-1 ≤ x+(1/4) ≤ 1得:-5/4 ≤ x ≤ 3/4 ...(1);解-1 ≤ x-(1/4) ≤ 1得:-3/4 ≤ x ≤ 5/4...(2)
(1),(2)取交集得:-3/4 ≤ x ≤3/4,故:答案是[-3/4,3/4]
f(13)=f(5+8)=f(5-8)=f(-3),即:f(13)=f(-3)
由题意知:f(1)<f(-1)<f(-3),故:f(9)<f(-1)<f(13) 选C
15、解:由题意知:-1 ≤ x+(1/4) ≤ 1且 -1≤ x-(1/4) ≤ 1
解-1 ≤ x+(1/4) ≤ 1得:-5/4 ≤ x ≤ 3/4 ...(1);解-1 ≤ x-(1/4) ≤ 1得:-3/4 ≤ x ≤ 5/4...(2)
(1),(2)取交集得:-3/4 ≤ x ≤3/4,故:答案是[-3/4,3/4]
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