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雙曲線x2-y23=1中a=1,b=3,c=2,e=2.∴點P到它的右焦點的距離為±2+4=6或2,設點P到它的右準線的距離是x,由雙曲線的第二定義可知,6x=2或2x=2,解得x=3或1.故點P到它的右準線的距離是3或1.故選:D.
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