奥数计算题100道(有答案)
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发布时间：2022-04-28 20:59
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热心网友
时间：2022-06-23 04:30
=(1995+9999)×8005÷2
=11994×8005÷2
=9597988÷2
=47987994
2.20062007*2006-20062006*2007+20062006
=20062007*2006-20062006*(2006+1)+20062006
=20062007*2006-20062006*2006
=2006*(20062007-20062006)
=2006
3. 2^2/1*3+3^2/2*4+4^2/3*5+......+99^2/98*100
=(1+1/1*3)+(1+1/2*4)+(1+1/3*5)......+(1+1/98*100)
=1*98+(1/1*3+1/3*5+1/5*7+……+1/97*99)+(1/2*4+1/4*6+1/6*8+……+1/98*100)
=98+1/2*(1+1/3-1/5+1/5-1/7+……+1/97-1/99)+1/2*(1/2-1/4+1/4-1/6+1/6-1/8+……+1/98-1/100)
=98+1/2*(1-1/99+1/2-1/100)
=98+1/2*（9900+4950-100-99）
=98+14651/19800
4. 1+（1/1+2）+（1/1+2+3）+（1/1+2+3+4）+（1+2+3+......+1000)
=(2/1*2)+(2/2*3)+(3/3*4)+......+(2/1000*1001)
=2*(1-1/2+1/2-1/3+1/3-1/4+......+1/1000-1/1001）
=2*（1-1/1001）
=2000/1001
5.1+1/(1+2)+1/(1+2+3)+……+1/(1+2+3+……+60+61)
=1+1/(1+2)+1/(1+2+3)+1/(1+2+3+4)+...+1/(1+2+3+...+61)
=1+2/（2*3）+2/（3*4）+2/（4*5）+……+2/（61*62）
=2[（1/2+1/（2*3）+1/（3*4）+1/（4*5）+……+1/（61*62）〕
=2[（1-1/2）+（1/2-1/3）+（1/3-1/4）+（1/4-1/5）+……+（1/61-1/62）] =2（1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/61-1/62）
=2（1-1/62）
=61/31
= 1又31分之30。
6.1/2+5/6-7/12+9/20-11/30+13/42-15/56
=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)
=1/2+1/2+1/3-1/3-1/4+1/4+1/5-1/5-1/6+1/6+1/7-1/7-1/8
=1-1/8
=7/8
7.1993*1993-1992*1992
= 1993^2 - 1992^2
=(1993+1992)*(1993-1992)
=3985
8.2007*20062006-2006*20072007
=2007*(2006*10001)-2006*(2007*10001)
=2007*2006*10001-2006*2007*10001
=0
9.1/（a-b)+1/（a+b)+2a/(a^2+b^2)+(4a^3)/(a^4+b^4)
=2a/(a^2-b^2)+2a/(a^2+b^2)+(4a^3)/(a^4+b^4)
=(4a^3)/(a^4-b^4)+(4a^3)/(a^4+b^4)
=8a^7/(a^8-b^8)
10.6.3 ×[（1.4 + 1/3 ） ÷ 1.12 - 1/6 ]
=(63/10)*[(7/5+1/3)*(25/28)-1/6]
=(63/10)*(7/5)*(25/28)+(63/10)*(1/3)*(25/28)+(63/10)*(1/6)
=63/8+15/8-21/20
=78/8-21/20
=8.7
11. 3.8 - 7 ÷ 15 - 2/15 × 4
=3.8-(7/15+8/15)
=3.8-1
=2.8
12. 0.6 × 1/15 + 13.4 ÷ 15 + 1/15
=(0.6+13.4+1)/15
=1
13.（8又2/5 -10又1/2 × 4/5 ） ÷ 5又3/4
= [42/5-(21/2)*94/5)]*(4/23)
=0*(4/23)
=0
14. 4又3/5 × 7/9 - 3又3/5 ÷ 1又2/7
=(23/5)*(7/9)-(18/5)*(7/9)
=[(23/5)-(18/5)]*(7/9)
=7/9
15. 2 - （ 2/5 + 2/5 × 3/5） ÷ 8/25
=2-(2/5)*(1+3/5)*(25/8)
=2-(2/5)*(8/5)*(25/8)
=2-2
=0
16.1-3+5-7+9-11.....-1999+2001
=(1-3)+(5-7)+(9-11).....-1999)+2001
=500*(-2)+2001
=(-1000)+2001
=1001
17.（3-112.5%+一又七分之一）*一又十三分之八/三又五十六分之一
=(3-9/8+8/7) * 21/13 / 三又五十六分之一
=三又五十六分之一 * 21/13 / 三又五十六分之一
=三又五十六分之一 / 三又五十六分之一 * 21/13
=21/13
18.【14.8+（三又七分之二 - 1.5）*一又二十五分之三】/四又五分之一
=【14.8+25/14 * 28/25】 / 21/5
=(14.8+2) / 21/5
=16又5分之4 / 21/5
=16 / 21/5 + 4/5 / 21/5
=80/21 + 4/21
=84/21
=4
19.7142.85÷3.7÷2.7×1.7×0.7.
=7142.85÷37÷27×17×7
=7142.85×7÷999×17
=49999.95÷999×17
=50.05×17
=850.85
20.4.83*0.59+0.41*1.59-0.324*5.9
=4.83*0.59+0.41*(1+0.59)-0.324*(10*0.59)
=4.83*0.59+0.41+0.41*0.59-3.24*0.59
=(4.83+0.41-3.24)*0.59+0.41
=2*0.59+0.41
=1.18+0.41
=1.59
21.99×1.01×77.78+66.66×33.33
=99×（1+0.01）×77.78+33.33×（2+1）
=99.99×77.78+99.99
=99.99×78.78
=（100-0.01）×78.78
=7878-0.7878
22. 37.4×2.7+499×0.73+12.5×0.7
=37.4*2+37.4*0.7+499*0.73+12.5*0.7
=37.4*2+(37.4+12.5)*0.7+499*0.73
=37.4*2+49.9*0.7+499*0.73
=37.4*2+499*0.07+499*0.73
=37.4*2+499*(0.07+0.73)
=37.4*2+499*0.8
=37.4*2+(500-1)*0.8
=37.4*2-0.4*2+400
=37*2+400
=474
累了
热心网友
时间：2022-06-23 04:30
热心网友
时间：2022-06-23 04:31
