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数学
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函数f(x)=log
3
|2x+a|的图象的对称轴方程为x=2,则常数a=______.
人气:190 ℃ 时间:2019-08-18 08:28:52
解答
令t=(2x+a)
2
=4x
2
+4ax+a
2
,
∵函数f(x)=log
3
|2x+a|的图象关于直线x=2对称,
∴
−
a
2
=2
解得a=-4.
故答案为:-4.
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