已知函数f（x）= ax +bx（其中a，b为常数）的图象经过（1，3）、（2，3）两点．（I）求a，b的值，判断并证明函数f（x）的奇偶性；（II）证明：函数f（x）在区间[ 2 ，+∞）上单调递增

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已知函数f（x）=

+bx（其中a，b为常数）的图象经过（1，3）、（2，3）两点．

（I）求a，b的值，判断并证明函数f（x）的奇偶性；

（II）证明：函数f（x）在区间[ 2 ，+∞）上单调递增．

上一题下一题 0.0难度选择题更新时间:2019-10-12 08:11:03

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解：（Ⅰ）∵函数f（x）的图象经过（1，3）、（2，3）两点

∴ ${\begin{matrix} a + b = 3 \\ \frac{a}{2} \end{matrix}$

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