别人的解答1^2-2^2+3^2-4^2+5^2-6^2+……+99^2-100^2=(1+2)(1-2)+(3+4)(3-4)+...+(99+100)(99-100)=-(1+2)-(3+4)-...-(99+100)=-(1+2+3+....+99+100)=-(1+100)×100/2=-5050