若X-1的绝对值+y-3的绝对值=0,求x的2009次方+y平方+2xy的值
绝对值都是非负的，所以这两个绝对值都为0才能和为0、x-1=0
y-3=0
所以x=1..y=3
x的2009次方+y平方+2xy=1+9+6=16
记得采纳啊
绛旓細鍥炵瓟锛x-1=0,y-3=0,鎵浠=1,y=3,-x-y=-4
绛旓細鐢变簬|x-1|鈮0锛寍y+3|鈮0锛岃嫢I|x-1|涓巪y+3|浜掍负鐩稿弽鏁帮紝鍗硘x-1|+|y+3|=0,锛屾墍浠=1锛寉=-3.
绛旓細x=1 y=3 [xy-X²]/X²-2xy+y²/xy*x-y/X²=2-6 +3-3=-4
绛旓細x鍑忎竴鐨勭粷瀵瑰肩瓑浜庝簩,x=-1鎴3 y鐨勭粷瀵瑰绛変簬涓,y=-3鎴3 x+y=-4鎴6
绛旓細瑙ｇ瓟 X+1=0-->X=-1 Y+3=0-->Y=-3 1-XY+XY鐨勫钩鏂=1-3+9=6
绛旓細|x-1|=3锛屽垯x-1=3鎴-3 x=4鎴-2 |y|=2锛寉=2鎴-2 鑰寈y锛0 鎵浠=4锛寉=-2鎴杧=-2锛寉=2 鏁厁+y=2鎴0 鎵浠+y鐨勭珛鏂规牴涓0鎴栦笁娆℃牴鍙蜂笅2
绛旓細x-1鐨勭粷瀵瑰+y+3鐨勭粷瀵鍊肩瓑浜0锛屽垯浠栦滑鍒嗗埆涓0锛屾墍浠绛変簬1锛寉绛変簬-3锛屾渶鍚庡间负4
绛旓細褰搚<3,y-3鐨勭粷瀵瑰绛変簬3-y;褰搚=3,y-3鐨勭粷瀵瑰肩瓑浜0;褰搚>3,y-3鐨勭粷瀵瑰肩瓑浜巠-3
绛旓細XY>0 璇存槑X锛Y鍚屽彿 閭ｄ箞锛屾湁2绉嶇粨鏋 鈶燲=3 Y=3 鍒橷+Y=6 鈶=-1 Y=-3 鍒橷+Y=-4 濡傛灉A+B锛0锛孉B锛0 鈭礎B锛0 鈭碅銆丅寮傚彿 鑰孉+B>0 鈭存鏁鐨勭粷瀵瑰澶 閫夛紙C锛夊鏁板钩鏂瑰拰鍏紡锛1²+3²+5²+...(2n-1)²=n(4n²-1)/3 鍒 1脳2+2脳3...
绛旓細缁濆鍊澶т簬绛変簬0锛岀浉鍔犵瓑浜0锛岃嫢鏈変竴涓ぇ浜0锛屽垯鍙︿竴涓皬浜0锛屼笉鎴愮珛銆傛墍浠ヤ袱涓兘绛変簬0 鎵浠x-1=0,y-3=0 x=1,y=3 x+y=4
