1.(1)原式=(10000-1)*(1111+7777)
=10000*8888-8888
=88880000-8888
=88871112
（2）原式=9999*7778+3333*3*2222
=9999*7778+9999*2222
=9999*(7778+2222)
=9999*10000
=99990000
2.原式=[1²-(2/1)²]*[1²-(3/1)²]*...*[1²-(99/1)²]
=[(2/2)²-(2/1)²]*[(3/3)²-(3/1)²]*...*[(99/99)²-(99/1)²]
=(2²/2²-1)*(3²/3²-1)*...*(99²/99²-1)
=2²*3²*...*99²/(2+1)(2-1)(3+1)(3-1)...(99+1)(99-1)
=2²*3²*...*99²/3*1*4*2*5*3*6*4*...*97*95*98*96*99*97*100*98
=2²*3²*...*99²/1*2*3²*4²*...*97²*98²*99*100
=2*99/100
=99/50
3.(1)2,4,(2+4),(6+4),(10+6),(16+10)=26,(26+16)=42,(42+26)=68
(2)1³,2³,3³,4³,5³=125,6³=216
(3)1,(1+1),(2+2),(4+3),(7+4),(11+5)=16,(16+6)=22,(22+7)=29
4.設(shè)甲數(shù)為x,乙數(shù)就為40%/[(3/2)x]=3/5x
所以,甲數(shù)占乙數(shù)的3/5,也就是166.67%
5.原式=128/64+128/32+128/16+128/8+128/4+128/2+128/1
=128/127
供參考：
2/1+4/1
=4/3
=1-4/1,
2/1+4/1+8/1
=8/7
=1-8/1,
2/1+4/1+8/1+16/1
=16/15
=1-16/1,
所以2/1+4/1+8/1+16/1+32/1+64/1+128/1
=1-128/1
=128/127