1的平方减2的平方加3的平方减四的平方………………加减100的平方解释1^2-2^2+3^2-4^2+……+99^2-100^2=(1+2)(1-2)+(3+4)(3-4)+……+(99+100)(99-100)=-(1+2+3+4+……+99+100)=-5050能解释一下为什么能这么
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/31 18:38:13
![1的平方减2的平方加3的平方减四的平方………………加减100的平方解释1^2-2^2+3^2-4^2+……+99^2-100^2=(1+2)(1-2)+(3+4)(3-4)+……+(99+100)(99-100)=-(1+2+3+4+……+99+100)=-5050能解释一下为什么能这么](/uploads/image/z/573343-7-3.jpg?t=1%E7%9A%84%E5%B9%B3%E6%96%B9%E5%87%8F2%E7%9A%84%E5%B9%B3%E6%96%B9%E5%8A%A03%E7%9A%84%E5%B9%B3%E6%96%B9%E5%87%8F%E5%9B%9B%E7%9A%84%E5%B9%B3%E6%96%B9%E2%80%A6%E2%80%A6%E2%80%A6%E2%80%A6%E2%80%A6%E2%80%A6%E5%8A%A0%E5%87%8F100%E7%9A%84%E5%B9%B3%E6%96%B9%E8%A7%A3%E9%87%8A1%5E2-2%5E2%2B3%5E2-4%5E2%2B%E2%80%A6%E2%80%A6%2B99%5E2-100%5E2%3D%EF%BC%881%2B2%EF%BC%89%EF%BC%881-2%EF%BC%89%2B%EF%BC%883%2B4%EF%BC%89%EF%BC%883-4%29%2B%E2%80%A6%E2%80%A6%2B%2899%2B100%29%2899-100%29%3D-%281%2B2%2B3%2B4%2B%E2%80%A6%E2%80%A6%2B99%2B100%29%3D-5050%E8%83%BD%E8%A7%A3%E9%87%8A%E4%B8%80%E4%B8%8B%E4%B8%BA%E4%BB%80%E4%B9%88%E8%83%BD%E8%BF%99%E4%B9%88)
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