Until these issues are resolved, a technology of behavior will continue to be rejected, and with it possibly the only way to solve our problems.(2002 年 )
【简答题】(1)由“若a,b,c∈R,则(ab)c=a(bc)”类比,若“ a , b , c 为三个向量,则 ( a ? b ) c = a ( b ? c ) ” (2)在数列{a n }中,a 1 =0,a n+1 =2a n +2,猜想a n =2 n -2 (3)在平面内“三角形的两边之和大于第三边”类比在空间中“四面体的任意三个面的面积之和大于第四面的面积” (4)已知(2-x) 8 =a 0 ...
【简答题】①由“若a,b,c∈R,则(ab)c=a(bc)”类比“若a、b、c为三个向量,则(a·b)c=a(b·c)”; ②在数列{a n }中,a 1 =0,a n +1 =2a n +2,猜想a n =2 n -2; ③在平面内“三角形的两边之和大于第三边”类比在空间中“四面体的任意三个面的面积之和大于第四个面的面积”; 上述三个推理中,正确的个数为( ) A.0 B.1 C.2 D.3