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33*34+34*35+35*36+36*37=怎样简便运算

33x34+34x35+35x36+36x37=33x35-33+34x35+35x36+35x37+37=35x(33+34+36+37)+(37-33)=35x140+4=4904

33*34+34*35+35*36+36*37+37*38 =(1*2+2*3+3*4+……+37*38)-(1*2+2*3+3*4+……+32*33) = 37*38*39÷3-32*33*34÷3 = 6310

原式=33*(35-1)+34*35+35*36+(35+1)*37+(35+2)*38 =35*(33+34+36+37+38)-33+37+76 =35*178+80 =35*200-35*22+80 =7000-770+80 =6310

32*33+33*34+34*35+35*36+36*37=1056+1122+1190+1260+1332=5960

33*34+34*35+35*36+36*37+37*38=1122+(34*35+35*36) +(36*37+37*38)=1122+2*35^2+2*37^2=1122+2450+2738 =(1122+2738)+2450=3860+2450=6310

32*33+33*34+34*35+35*36=33*(32+34)+(34+36)*35=33*66+70*35=33*70-33*4+2450=2310-132+2450=4628

int k=0; for(int i=33;i<=37;i++) { int j=i+1;k = k+(i*j); } out.print(k);

(33+35)*34+(35+37)*36=68*34+72*36=2312+2592=4904

34x35分之34=(35-1)x35分之34=35x35分之34-1x35分之34=34-35分之34=33又35分之1 有不明白的可以追问!谢谢!!祝学习进步

31+32+33+34+35=(31+34)+(32+33)+35=65+65+35=130+35=165 或31+32+33+34+35=30+1+30+2+30+3+30+4+30+5=1+2+3+4+5+5x30=(2+3)+(1+4)+5+150=15+150=165

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