所以(a+v0)(a+v)>(a-v0)(a-v)
∴t0-t<0,即t0
二、填空题
提示:
2.198919902-198919892
=(19891990+19891989)×(19891990-19891989)
=(19891990+19891989)×1=39783979.
3.由于(2+1)(22+1)(24+1)(28+1)(216+1)
=(2-1)(2+1)(22+1)(24+1)(28+1)(216+1)
=(22-1)(22+1)(24+1)(28+1)(216+1)
=(24-1)(24+1)(28+1)(216+1)
=(28-1)(28+1)(216+1)
=(216-1)(216+1)=232-1.
2(1+x)-(x-2)=8,2+2x-x+2=8解得;x=4
5.1-2+3-4+5-6+7-8+…+4999-5000
=(1-2)+(3-4)+(5-6)+(7-8)+…+(4999-5000)
=-2500.
6.(3x3-5x2+6x-1)-(x3-2x2+x-2)+(-2x3+3x2+1)=5x+2
7.注意到:
当a=-0.2,b=0.04时,a2-b=(-0.2)2-0.04=0,b+a+0.16=0.04-0.2+0.16=0.
8.食盐30%的盐水60千克中含盐60×30%(千克)设蒸发变成含盐为40%的水重x克,即0.001x千克,此时,60×30%=(0.001x)×40%
解得:x=45000(克).