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[函数] 2021年全国卷甲第12题 奇函数 偶函数 求值

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isee posted 2021-6-9 21:51 |Read mode
Last edited by isee 2021-7-21 21:34看到这题,类似能感觉到kuing当年为嘛不playing了

周期是4,x=2是对称轴,(1,0)是对称中心,选D

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题:

12. 设函数$f\left( x \right)$ 定义域为R,$f\left( x+1 \right)$为奇函数,\(f\left( x+2 \right)\)为偶函数,当$x\in \left[ 1,2 \right]$时,\(f(x)=ax^2+b\).若\(f\left( 0 \right)+f\left( 3 \right)=6\),则\(f\left( \frac 92 \right)=\)(    )
A. \(-\frac 94\)        B. \(-\frac 32\)        C. $\frac 74$        D. \(\frac 52\)
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