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∵集合A={(x,y)|x24+y216=1},∴x24+y216=1為橢圓和指數函數y=3x圖像,如圖,可知其有兩個不同交點,記為A1、A2,則A∩B的子集應為∅,{A1},{A2},{A1,A2}共四種,故選A.
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