試題分析:因為已知函數(shù)f(x)=sin(2x+
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)的圖像按
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平移后得到g(x)圖像,且g(x)為偶函數(shù),那么當(dāng)
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=
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時,則向左平移
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個單位,那么得到的表達(dá)式為f(x)=sin(2(x+
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)+
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)=sin(2x+
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)=cos2x,滿足題意可知成立。當(dāng)
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=
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時,先向左移
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,再向上平移1個單位,那么可知表達(dá)式為cos2x+1,但是模長不是最小的,
當(dāng)
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=
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此時不能滿足偶函數(shù)的性質(zhì),因此不成立,同理可證當(dāng)
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=
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時,也不滿足為偶函數(shù),故選A.
點評:解決該試題的關(guān)鍵是理解向量的坐標(biāo),表示的平移的方向,由于得到函數(shù)是偶函數(shù),說明關(guān)于y軸對稱,那么將誒和已知的關(guān)系式,可對選項逐一進(jìn)行檢驗,然后得到結(jié)論,屬于基礎(chǔ)題。