2017-2018学年人教B版选修1-2 演绎推理 自我小测
2017-2018学年人教B版选修1-2        演绎推理  自我小测第2页

  

  8.在三段论"∵a=(1,0),b=(0,-1),∴a·b=(1,0)·(0,-1)=1×0+0×(-1)=0,∴a⊥b."中,

  大前提:____________________________________________________________________

  小前提:____________________________________________________________________

  结论:_______________________________________________________________________

  9.若0<a<,求证:b-b2<.

  10.求证:函数f(x)=x6-x3+x2-x+1的值恒为正数.

  11.已知数列{an}满足a1=1,a2=3,an+2=3an+1-2an(n∈N+).

  (1)求证:数列{an+1-an}是等比数列;

  (2)求数列{an}的通项公式;

  (3)若数列{bn}满足4b1-14b2-1...4bn-1=(an+1)bn(n∈N+),求证:{bn}是等差数列.