[(1/31+1/37+1/41+1/47+1/53+1/69)*(1/29+1/31+1/37+1/41+1/47+1/53)]-[(1/29+1/31+1/37+1/41+1/47+1/53+1/69)*(1/31+1/37+1/41+1/47+1/53)]

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[(1/31+1/37+1/41+1/47+1/53+1/69)*(1/29+1/31+1/37+1/41+1/47+1/53)]-[(1/29+1/31+1/37+1/41+1/47+1/53+1/69)*(1/31+1/37+1/41+1/47+1/53)]
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[(1/31+1/37+1/41+1/47+1/53+1/69)*(1/29+1/31+1/37+1/41+1/47+1/53)]-[(1/29+1/31+1/37+1/41+1/47+1/53+1/69)*(1/31+1/37+1/41+1/47+1/53)]
[(1/31+1/37+1/41+1/47+1/53+1/69)*(1/29+1/31+1/37+1/41+1/47+1/53
)]-[(1/29+1/31+1/37+1/41+1/47+1/53+1/69)*(1/31+1/37+1/41+1/47+1/53)]

[(1/31+1/37+1/41+1/47+1/53+1/69)*(1/29+1/31+1/37+1/41+1/47+1/53)]-[(1/29+1/31+1/37+1/41+1/47+1/53+1/69)*(1/31+1/37+1/41+1/47+1/53)]
设 a=1/31+1/37+1/41+1/47+1/53,b=1/29+1/31+1/37+1/41+1/47+1/53
原式=(a+1/69)b-(b+1/69)a=ab-ba+1/69 * (b-a)=1/(69*29)=1/(69*29)

0

[(1/31+1/37+1/41+1/47+1/53+1/69)*(1/29+1/31+1/37+1/41+1/47+1/53)]-[(1/29+1/31+1/37+1/41+1/47+1/53+1/69)*(1/31+1/37+1/41+1/47+1/53)] 数学竞赛辅导试题,有理数的运算与参设(1/31+1/37+1/41+1/47+1/53+1/69)*(1/29+1/31+1/37+1/41+1/47+1/53)-(1/29+1/31+1/37+1/41+1/47+1/53+1/63)+(1/31+1/37+1/41+1/47+1/53)为了竞赛专门训练的。最好不要用那种大 比较4个算式的大小(1)(1/17+1/19)*2 (2)(1/24+1/29)*3 (3)(1/31+1/37)*4 (4)(1/41+1/47)*5写出算式和过程、思路.*代表乘 下列算式中,哪一个和最大?最大的和是多少?17/3+19/1 4/1+29/1 31/9+37/3 41/9+47/3 在(1/17+1/19)*20,(1/24+1/29)*30,(1/31+1/37)*40,(1/41+1/47)*50这4 个算式中,谁的得数大? 计算 (1/11+1/21+1/31+1/41)*(1/21+1/31+1/41+1/51)-(1/11+1/21+1/31+1/41+1/51)*(1/21+1/31+1/41) (1/11+1/21+1/31+1/41)*(1/21+1/31+1/41+1/51)-(1/11+1/21+1/31+1/41+1/51)*(1/21+1/31+1/41)老师要方法啊. (1/11+1/21+1/31++1/41)*(1/21+1/31++1/41+1/51)-(1/11+1/21+1/31+1/41+1/51)*(1/21+1/31+1/41)=? (1/11+1/21+1/31+1/41)*(1/21+1/31+1/41+1/51)-(1/11+1/21+1/31+1/41+/51)*(1/21+1/31+1/41) (21分之1+31分之1+41分之1)*(31分之1+41分之1+51分之1)-(21分之1+31分之1+41分之1+51分之1)*(31分之1+41分之1) 42+41+40-39-38-37+36+35+35+34-33-32-31……+6+5+4-3-2-1 (1/11+1/20+1/31+1/40)*(1/21+1/30+1/41+1/50)-(1/11+1/21+1/31+1/41+1/51)*(1/21+1/31+1/41)=? 简便计算?51 2/3+41 1/3*3/4+31 1/2*2/3 (31+1/3)*(41+1/2)-(11+1/3)*(41+1/2)*2-(9+1/2)*(11+1/3) 31 1/3*41 1/2 -11 1/3*41 1/2*2-9 1/2*11 1/3 41分之7×31分之1+41分之34÷31 简便计算 在下面四个算式中,最大的得数是几?(1/17+1/19)*20 (1/24+1/29)*30 (1/31+1/37)*40 (1/41+1/47)*50 求特征向量和特征根1 1/3 4 3 33 1 6 4 41/4 1/6 1 1/3 1/31/3 1/4 3 1 11/3 1/4 2 1 1 五乘五的矩阵