若x=123456789×123456786,Y=123456788×123456787,试比较x,y大小,设123456788=a,那么x=(a+1)(a-2)=a²-a-2,y=a(a-1)=a²-a∵x-y=(a²-a-2)-(a²-a)=-2<0∴x<y,请用这个方法算出1.345×0.345×2.69-1.345³-1.345×
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![若x=123456789×123456786,Y=123456788×123456787,试比较x,y大小,设123456788=a,那么x=(a+1)(a-2)=a²-a-2,y=a(a-1)=a²-a∵x-y=(a²-a-2)-(a²-a)=-2<0∴x<y,请用这个方法算出1.345×0.345×2.69-1.345³-1.345×](/uploads/image/z/6940005-69-5.jpg?t=%E8%8B%A5x%3D123456789%C3%97123456786%2CY%3D123456788%C3%97123456787%2C%E8%AF%95%E6%AF%94%E8%BE%83x%2Cy%E5%A4%A7%E5%B0%8F%2C%E8%AE%BE123456788%3Da%2C%E9%82%A3%E4%B9%88x%3D%EF%BC%88a%2B1%EF%BC%89%28a-2%29%3Da%26%23178%3B-a-2%2Cy%3Da%28a-1%29%3Da%26%23178%3B-a%E2%88%B5x-y%3D%EF%BC%88a%26%23178%3B-a-2%EF%BC%89-%28a%26%23178%3B-a%29%3D-2%EF%BC%9C0%E2%88%B4x%EF%BC%9Cy%2C%E8%AF%B7%E7%94%A8%E8%BF%99%E4%B8%AA%E6%96%B9%E6%B3%95%E7%AE%97%E5%87%BA1.345%C3%970.345%C3%972.69-1.345%26%23179%3B-1.345%C3%97)
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若x=123456789×123456786,Y=123456788×123456787,试比较x,y大小,设123456788=a,那么x=(a+1)(a-2)=a²-a-2,y=a(a-1)=a²-a∵x-y=(a²-a-2)-(a²-a)=-2<0∴x<y,请用这个方法算出1.345×0.345×2.69-1.345³-1.345×
若x=123456789×123456786,Y=123456788×123456787,试比较x,y大小,设123456788=a,
那么x=(a+1)(a-2)=a²-a-2,y=a(a-1)=a²-a∵x-y=(a²-a-2)-(a²-a)=-2<0∴x<y,请用这个方法算出1.345×0.345×2.69-1.345³-1.345×0.345²
若x=123456789×123456786,Y=123456788×123456787,试比较x,y大小,设123456788=a,那么x=(a+1)(a-2)=a²-a-2,y=a(a-1)=a²-a∵x-y=(a²-a-2)-(a²-a)=-2<0∴x<y,请用这个方法算出1.345×0.345×2.69-1.345³-1.345×
0.345=a 1.345=a+1 2.69=2(a+1)
1.345×0.345×2.69-1.345³-1.345×0.345²
=(a+1)*a*2(a+1)-(a+1)^3-(a+1)*a^2
=2a(a+1)^2-(a+1)^3-a^2(a+1)
=(a+1)[2a(a+1)-(a+1)^2-a^2]
=-(a+1)
= -1.345
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