(1/8+1/9+1/10+1/11)X(1/9+1/10+1/11+1/12)-(1/8+1/9+1/10+1/11+
来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/09/22 01:21:39
(1/8+1/9+1/10+1/11)X(1/9+1/10+1/11+1/12)-(1/8+1/9+1/10+1/11+1/12)X(1/9+1/10+1/11)
令a=1/9+1/10+1/11
(1/8+1/9+1/10+1/11)X(1/9+1/10+1/11+1/12)-(1/8+1/9+1/10+1/11+1/12)X(1/9+1/10+1/11)
=(1/8+a)*(a+1/12)-(1/8+a+1/12)*a
=(1/8+a)*(a+1/12)-(1/8+a)a-1/12*a
=(1/8+a)*a+1/12*(1/8+a)-(1/8+a)a-1/12*a
=1/12*(1/8+a)-1/12*a
=1/12*1/8+1/12*a-1/12*a
=1/96
(1/8+1/9+1/10+1/11)X(1/9+1/10+1/11+1/12)-(1/8+1/9+1/10+1/11+1/12)X(1/9+1/10+1/11)
=(1/8+a)*(a+1/12)-(1/8+a+1/12)*a
=(1/8+a)*(a+1/12)-(1/8+a)a-1/12*a
=(1/8+a)*a+1/12*(1/8+a)-(1/8+a)a-1/12*a
=1/12*(1/8+a)-1/12*a
=1/12*1/8+1/12*a-1/12*a
=1/96
1x+2x+3x+4x+5x+6x+7x+8x+9x+10x+11x+12x+13x+14x+15x=550
|X-1|+|X-2|+|X-3|+|X-4|+|X-5|+|X-6|+|X-7|+|X-8|+|X-9|+|X-10|
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