奧數簡便運算,奧數的簡便演算法

時間 2021-08-30 10:01:26

1樓:郝躍朱運虹

1、原式=(1419+(1419+12900)+(1419+12900+129000)+(1419+12900+129000+1290000)+(1419+12900+129000+1290000+12900000)+(1419+12900+129000+1290000+12900000+129000000))/86=(16.5+(16.5+150)+(16.

5+150+1500)+(16.5+150+1500+15000)+(16.5+150+1500+15000+150000)+(16.

5+150+1500+15000+150000+1500000))=16.5*6+150*6+1500*5+15000*4+150000*3+1500000*2+15000000=18053499

2樓:桑煦黨元勳

1.1/100+3/100+5/100+……+95/100+97/100+99/100

=(1+3+……+99)/100

=[(1+99)*50/2]/100

=50/2

=252.10又4/5

-(8.8—5/7)+2/7

=10+4/5-(8+4/5)+(5/7+2/7)=10+4/5-8-4/5+1

=10-8+1

=33.5.2×1/4+0.18×2.5+25%=5.2×1/4+0.18×(10/4)+1/4=(5.2+1.8+1)×1/4

=8×1/4

=24.(9.6-10又1/2÷1.25)÷(1又1/3×3分之4)=[9.6-(10+1/2)×0.8]÷(4/3×4/3)

=(9.6-8-0.4)×9/16

=1.2×9/16

=0.675

5.(1+2/3)×(1-2/3)×(1+2/5)×(1-2/5)×……×(1+2/99)×(1-2/99)

=5/3

×1/3

×7/5

×3/5

×......×101/99

×97/99

=1/3

×(5/3

×3/5)

×(7/5

×5/7)

×(99/97

×97/99)

×101/99

=1/3

×101/99

=101/297

6.4!/5!

=(4×5×6×7)/(5×6×7×8×9)=1/18

3樓:

一,3.6*31又2/5+43.9*6又2/5+6

=3.6*(31+2/5)+43.9*(6+2/)+6

=3.6*31+3.6*2/5+43.9*6+43.9*2/5+6

=3.6*30+3.6+(3.6+43.9)*2/5+44.9*6

=108+3.6+47.5*2/5+(45-0.1)*6

=108+3.6+19+270-0.6

=108+19+270+3

=400

二,(81.4+1/6+1/4+1/5)/(1/6+1/4+1/5)

=81.4/(1/6+1/4+1/5) +(1/6+1/4+1/5) /(1/6+1/4+1/5)

=81.4/[(10+15+12)/60]+1

=81.4*60/37+1

=132+1

=133

三,51又2/3除以5/3+71又3/4除以7/4+91又4/5除以9/5

=(50+5/3)/(5/3)+(70+7/4)/(7/4)+(90+9/5)/(9/5)

=30+1+40+1+50+1

=123

四,6又7/10*121+444除以40/99+67*21.2

=6.7*121+6.7*212+444*99/40

=6.7*333+333*3.3

=333*(6.7+3.3)

=3330

五,(4又1/19-1/17)*(1/7+1/8+1/9)-4*(1/7-1/8+1/9)+(1/7+1/8+1/9)*(1/17-1/19)

=(4+1/19-1/17)*(1/7+1/8+1/9)+(1/7+1/8+1/9)*(1/17-1/19)- 4*(1/7-1/8+1/9)

=(1/7+1/8+1/9)(4+1/19-1/17+1/17-1/19)- 4*(1/7-1/8+1/9)

=4*(1/7+1/8+1/9)- 4*(1/7-1/8+1/9)

=4*(1/7+1/8+1/9-1/7+1/8-1/9)

=4*1/4=1

4樓:飛鵠墨人

難,,真不容易,,分,,基本上是衝著難題來的,可是慚愧,不會,,,,不過,還是想發發言,,說說話,,

但願樓主學有富車,,,

5樓:匿名使用者

這些題我看樓主還是自己做為好,這樣才能提高計算效率。

6樓:

一,3.6*31又2/5+43.9*6又2/5+6

=3.6*(31+2/5)+43.9*(6+2/)+6

=3.6*31+3.6*2/5+43.9*6+43.9*2/5+6

=3.6*30+3.6+(3.6+43.9)*2/5+44.9*6

=108+3.6+47.5*2/5+(45-0.1)*6

=108+3.6+19+270-0.6

=108+19+270+3

=400

二,(81.4+1/6+1/4+1/5)/(1/6+1/4+1/5)

=81.4/(1/6+1/4+1/5) +(1/6+1/4+1/5) /(1/6+1/4+1/5)

=81.4/[(10+15+12)/60]+1

=81.4*60/37+1

=132+1

=133

三,51又2/3除以5/3+71又3/4除以7/4+91又4/5除以9/5

=(50+5/3)/(5/3)+(70+7/4)/(7/4)+(90+9/5)/(9/5)

=30+1+40+1+50+1

=123

四,6又7/10*121+444除以40/99+67*21.2

=6.7*121+6.7*212+444*99/40

=6.7*333+333*3.3

=333*(6.7+3.3)

=3330

五,(4又1/19-1/17)*(1/7+1/8+1/9)-4*(1/7-1/8+1/9)+(1/7+1/8+1/9)*(1/17-1/19)

=(4+1/19-1/17)*(1/7+1/8+1/9)+(1/7+1/8+1/9)*(1/17-1/19)- 4*(1/7-1/8+1/9)

=(1/7+1/8+1/9)(4+1/19-1/17+1/17-1/19)- 4*(1/7-1/8+1/9)

=4*(1/7+1/8+1/9)- 4*(1/7-1/8+1/9)

=4*(1/7+1/8+1/9-1/7+1/8-1/9)

=4*1/4

=1 一、3.6*31又2/5+43.9*6又2/5+6

=3.6*31.4+43.9*6.4+6

=[10-6.4]*31.4+43.9*6.4+6

=314-6.4*31.4+43.9*6.4+6

=320+6.4[43.9-31.4]

=320+6.4*12.5

=320+0.8*8*12.5

=320+0.8*100

=400

二、(81.4+1/6+1/4+1/5)/(1/6+1/4+1/5)

=81.4/[1/6+1/4+1/5]+1

=81.4*60/[10+15+12]+1

=81.4*60/37+1

=[74+7.4]*60/37+1

=74*60/37+7.4*60/37+1

=120+12+1

=133

三、51又2/3除以5/3+71又3/4除以7/4+91又4/5除以9/5

=[51+2/3]*3/5+[71+3/4]*4/7+[91+4/5]*5/9

=51*3/5+2/5+71*4/7+3/7+91*5/9+4/9

=[50+1]*3/5+[70+1]*4/7+[90+1]*5/9+2/5+3/7+4/9

=30+3/5+40+4/7+50+5/9+2/5+3/7+4/9

=120+1+1+1

=123

四、67/10*121+444除以40/99+67*21.2

=67/10*11*11+444*99/40+67*21.2

=6.7*11*11+11.1*99+67*21.2

=6.7[121+212]+11.1*99

=6.7*333+33.3*33

=33.3[67+33]

=33.3*100

=3330

五、(4又1/19-1/17)*(1/7+1/8+1/9)-4*(1/7-1/8+1/9)+(1/7+1/8+1/9)*(1/17-1/19)

=(4+1/19-1/17)*(1/7+1/8+1/9)+(1/7+1/8+1/9)*(1/17-1/19)- 4*(1/7-1/8+1/9)

=(1/7+1/8+1/9)(4+1/19-1/17+1/17-1/19)- 4*(1/7-1/8+1/9)

=4*(1/7+1/8+1/9)- 4*(1/7-1/8+1/9)

=4*(1/7+1/8+1/9-1/7+1/8-1/9)

=4*1/4=1

奧數的簡便演算法

7樓:

5*(480+1)+321*(20+0.5)+(800+2)*(80-0.8)

=2400+5+6420+160.5+64000-640+160-1.6

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