A.2k+1B.
C.
D.2(2k+1)在线课程D分析:分别求出n=k时左边的式子,n=k+1时左边的式子,用n=k+1时左边的式子,比较两个表达式,即得所求.
解答:当n=k时,左边等于 (k+1)(k+2)…(k+k)=(k+1)(k+2)…(2k),
当n=k+1时,左边等于 (k+2)(k+3)…(k+k)(2k+1)(2k+2),
故从“k”到“k+1”的证明,左边需增添的代数式是
=2(2k+1),故选D.
点评:本题考查用数学归纳法证明等式,用n=k+1时,左边的式子除以n=k时,左边的式子,即得所求.