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数学简便计算题一、口算下面各题。(23分)10,2.65,0.9×0.08,528,349,6，14.4,24?0.04,12.34,2.3,0?3.8,0.77，0.33,7?1.4,67.5，0.25,7.2?8×4,5,1.4,1.6,400?125?8,1.9×4×0.5,80×0.125=3×=66=2,(+)=102=3.2×7?3.2×7=(,)×12=187.7×11,187.7=1,62.5%=二、写出下列每题在简便运算时所运用的定律或性质(12分)4+3.2，5+6.825×(8×0.4)×1.257,(2,)()()()(，+)×7293.5?316?2.5()()()三、用简便方法计算。(65分)1125,997998+1246+9989(8700，870，87)?87125×8.81.3，4.25，3.7，3.7517.15,(3.5,2.85)3.4×99，3.44.8×1.010.4×(2.5?73)(1.6，1.6，1.6，1.6)×25(，,)?12.3,2.45,5.7,4.552，0.125×0.25×6464.2×87，0.642×130078×36，7.8×741,717，80.125×，0.52.42+4.58,4325?1004.25,3,(2,1)(1)1.25*17.6+36.1/0.8+2.36*12.51.25*17.6+36.1/0.8+2.36*12.5=(5/4)*17.6+36.1*(5/4)+23.6*(50/4)=176/8+361/8+236/8=773/8=96.625(2)7.5*2.3+1.9*2.57.5*2.3+1.9*2.5=7.5*(1.9+0.4)+1.9*2.5=(7.5+2.5)*1.9+7.5*0.4=19+3=22(3)2004/2003*20052004/2003*2005=(2004/2003)*(2003+2)=2004+4008/2003(4)276*543-267/276+543*275276*543-267/276+543*275=543*(276+275)-267/276=543*551-267/276×79.45+159×47.56+52.44=52.44×79.45+159×47.56+79.55×52.44=52.44×(79.45+79.55)+159×47.56=52.44×159+159×47.56=159×(52.44+47.56)=159×100=159003)2002+2001-2000-1999+1998+1997-1996-1995++2+1=(2002-2000)+(2001-1999)+(1998-1996)+(1997-1995)++(6-4)+(5-3)+2+1=2+2+2+2++2+2(3-2002200010002)+2+1=1000×2+2+1=2003451/(A×B)=1/(B-A)×(1/A-1/B)1/15=1/(3×5)=1/(5-3)×(1/3-1/5)=1/2×(2/15)=1/154)(1×2)+(2×3)+(3×4)++(10×11)=1/(1×2)+1/(2×3)+1/(3×4)++1/(10×11)=(1-1/2)+(1/2-1/3)+(1/3-1/4)++(1/10-1/11)=1-1/11=10/11++++=1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+1/(9×11)=1/2×(1-1/3)+1/2×(1/3-1/5)+1/2×(1/5-1/7)+1/2×(1/7-1/9)+1/2×(1/9-1/11)=1/2×(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)=1/2×(1-1/11)=1/2×10/11=5/11-+-+-+(11/2=1+1/2+1/2+1/3=5/6)=(1+1/2)-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)=1+1/2-1/2-1/3+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/71/7+1/8=1+1/8=9/8
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