(1/2)已知函数f(x)=sinx+tanx,项数为27的等差数列{an}满足an属于(-90',90'),且公差d不
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f(x)=sinx+tanx

an=a1+(n-1)d

f(a1)=sina1+tana1

f(a2)=sin(a1+d)+tan(a1+d)

f(a3)=sin(a1+2d)+tan(a1+3d)

..

f(a26)=sin(a1+25d)+tan(a1+25d)

f(a27)=sin(a1+26d)+tan(a1+26d)

f(a1)+f(a27)=sina1+sin(a1+26d)+tana1+tan(a1+26d)

=2sin(a1+13d)cos13d *[1/cosa1+1/cos(a1+26d)]

f(a2)+f(26)=2sin(a1+13d)cos12d*[1/cos(a1+d)+1/cos(a1+25d)]

..

f(a13)+f(a15)=2sin(a1+13d)cosd*[1/cos(a1+12d)+1/cos(a1+14d)]

f(a14)=2sin(a1+13d)*[1+1/cos(a1+13d)]

f(a1)+f(a2)+...+f(a27)=0

sin(a1+13d)=0

f(a14)=0