Éèa,b,c,dΪÕýÕûÊý,²¢ÇÒab=cd,ÊÔÎÊa+b+c+dÄܲ»ÎªÖÊÊý...

ÓÉÓÚab=cd,¹ÊÓÉÖÊÒòÊý·Ö½â¶¨Àí,´æÔÚÕýÕûÊýc1,c2,d1,d2,ʹµÃd=d1d2,a=c1d1,b=c2d2,ÓÚÊÇa+b+c+d=(c1+d2)(c2+d1)ΪºÏÊý.È«½â2:ÓÉÓÚa+b+c+d=a+b+...


ËĸöÊý(a+b+c+d)ºÍµÄƽ·½ºÍÁ¢·½¹«Ê½?

£¨a+b+c+d)^2 (¹² 4^2 = 16 Ï= a^2+b^2+c^2+d^2£¨4Ï+ 2(ab+ac+ad+bc+bd+cd) (12Ï£¨a+b+c+d)^3 (¹² 4^3 = 64 Ï= a^...


a+b+c+d±ä³É(a+b)+(c+d)ÕâÊÇÓ¦ÓÃÁ˼ӷ¨ - - - .

½â´ð:½â:a+b+c+d=(a+b)+(c+d)ÕâÊÇÓ¦ÓÃÁ˼ӷ¨½áºÏÂÉ.¹Ê´ð°¸Îª:½áºÏÂÉ.


ÏÂÃæËãʽµÄµÃÊý·Ö±ðÊÇa+ b+ c+ d=89,Çóa¡¢ b¡¢ c¡¢ d...

3£¨a+b+c+d£©=63+71+68+65£¬¼´µÃa+b+c+d= 89£¬ËùÒÔ£ºa+b+c+d-(a+b+c)=89-63£¬¼´d=26¡£a+b+c+d-(a+c+d)=89-71£¬¼´b=18¡£a+b+c+d-(a...


...ÓÐÕýÕûÊý a,b,c,d Âú×ã a+b+c+d=n,ÇÒ ab=cd?

Áî a = 1, b = uv, c = u, d = v,ÓÐ ab = cd = uv, ÇÒa+b+c+d= 1+u+v+uv = (1+u)(1+v)¶ÔÓÚÈÎÒâºÏÊýx, ×Ü¿ÉÒÔ...


...35¸öÁ¬ÐøÕýÕûÊýÖ®ºÍ,Ôòa+b+c+dµÄ×îСֵΪ¶àÉÙ

ÓÉabcd = 35n,ÇÒa,b,c,d¾ùÎªËØÊý,¿ÉÖªa,b,c,dÖÐÓÐÒ»¸öÊÇ5,Ò»¸öÊÇ7.²»·ÁÉèa = 5,b = 7,ÓÚÊÇn = cd,ΪÁ½¸öËØÊýÖ®»ý.Òªʹa+b+c+d×îС,¼´ÒªÊ¹c+d×îС....


ÈçºÎ±íʾ¼¯ºÏa+ b+ c+ d= I?

Òò´Ë£¬¸ù¾ÝͼÐΣ¬¾ÍÓÐÁËÒÔϼ¸¸ö¹«Ê½£º1¡¢a+b+c+d=I(ֻϲ»¶1Õß+ֻϲ»¶2Õß+3Õß¶¼Ï²»¶+3Õß¶¼²»Ï²»¶=×ܼ¯)2¡¢a+2b+3c=A+B+C(Èý¸ö...


Çóa+b+c+dµÈÓÚ¶àÉÙ

Èçͼ ͼ


Èôa¡¢b¡¢c¡¢dÊÇ»¥²»ÏàµÈµÄÕûÊý,ÇÒabcd=9,Çóa+b+c+dµÄ...

½â´ð:½â:9=(-1)¡Á(-9)=1¡Á9=3¡Á3=(-3)¡Á(-3),¡ßa¡¢b¡¢c¡¢dÊÇ»¥²»ÏàµÈµÄÕûÊý,ÇÒabcd=9,¡àa¡¢b¡¢c¡¢dËĸöÊýΪ-1¡¢1¡¢-3¡¢3,¡àa+b+c+d=-1+1...


Á½¶Ô°ë¼ì²é123ÏîÑôÐÔÊÇÔõô»ØÊÇ

D´ú±í£ºÒÒ¸Îe¿¹Ìå(HbeAb)E´ú±í£ºÒҸκËÐÄ¿¹Ìå(HbcAb)ÑôÐÔ´ú±í£º+ ÒõÐÔ´ú±í£º- ¼ì²âÏîÄ¿²Î¿¼·¶Î§¼ìÑéÒâÒå A+B+C+D+E+ - + - +...


Ïà¹ØËÑË÷

ÈÈÃÅËÑË÷