C
分析:將原式化為
=
的形式,再將數(shù)值代入,逐步進(jìn)行驗算.
解答:當(dāng)y=0時,
=
,x=72,整數(shù)對為(72,0);
當(dāng)y=1時,
=
-1,x不是整數(shù);
當(dāng)y=2時,
=
-2
=4
=
,x=32,整數(shù)對為(32,2);
當(dāng)y=3時,
=
-2
=6
-2
;
當(dāng)y=4時,
=
-2
=6
-4;
當(dāng)y=5時,
=
-2
=6
-2
;
當(dāng)y=6時,
=
-2
=6
-2
;
當(dāng)y=7時,
=
-2
=6
-2
;
當(dāng)y=8時,
=
-2
=6
-4
=2
,x=8,整數(shù)對為(8,8);
當(dāng)y=9時,
=
-2
=6
-6;
當(dāng)y=10時,
=
-2
=6
-2
;
當(dāng)y=11時,
=
-2
=6
-2
;
當(dāng)y=12時,
=
-2
=6
-4
;
當(dāng)y=13時,
=
-2
=6
-2
;
當(dāng)y=14時,
=
-2
=6
-2
;
當(dāng)y=15時,
=
-2
=6
-2
;
當(dāng)y=16時,
=
-2
=6
-8;
當(dāng)y=17時,
=
-2
=6
-2
;
當(dāng)y=18時,
=
-2
=6
-6
=0,x=0,整數(shù)對為(0,18).
故整數(shù)對(X,Y)是(72,0),(32,2),(8,8),(0,18)共四個.
故選C.
點(diǎn)評:此題比較復(fù)雜,需對x、y的值進(jìn)行逐一驗算求解,找出符合條件的實數(shù)對.