一道三角函数与数列结合的填空题已知函数f(x)=sinX+tanX,项数为27的等差数列{An}满足An∈(-π/2,π/2),且公差d≠0,若f(A1)+f(A2)+f(A3)+.+f(A27)=0,则当k=_______时,f(Ak)=0.有的解题过程是:由于fx=sinx+tanx在
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![一道三角函数与数列结合的填空题已知函数f(x)=sinX+tanX,项数为27的等差数列{An}满足An∈(-π/2,π/2),且公差d≠0,若f(A1)+f(A2)+f(A3)+.+f(A27)=0,则当k=_______时,f(Ak)=0.有的解题过程是:由于fx=sinx+tanx在](/uploads/image/z/2682114-42-4.jpg?t=%E4%B8%80%E9%81%93%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B0%E4%B8%8E%E6%95%B0%E5%88%97%E7%BB%93%E5%90%88%E7%9A%84%E5%A1%AB%E7%A9%BA%E9%A2%98%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3DsinX%2BtanX%2C%E9%A1%B9%E6%95%B0%E4%B8%BA27%E7%9A%84%E7%AD%89%E5%B7%AE%E6%95%B0%E5%88%97%7BAn%7D%E6%BB%A1%E8%B6%B3An%E2%88%88%EF%BC%88-%CF%80%2F2%2C%CF%80%2F2%EF%BC%89%2C%E4%B8%94%E5%85%AC%E5%B7%AEd%E2%89%A00%2C%E8%8B%A5f%28A1%29%2Bf%28A2%29%2Bf%28A3%29%2B.%2Bf%28A27%29%3D0%2C%E5%88%99%E5%BD%93k%3D_______%E6%97%B6%2Cf%28Ak%29%3D0.%E6%9C%89%E7%9A%84%E8%A7%A3%E9%A2%98%E8%BF%87%E7%A8%8B%E6%98%AF%EF%BC%9A%E7%94%B1%E4%BA%8Efx%3Dsinx%2Btanx%E5%9C%A8)
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