如图,在直角坐标系xOy中,锐角△ABC内接于圆x²+y²=1.已知BC平行于x轴,AB所在直线方程为y=kx+m(k>0),记角A,B,C,所对的边长分别是a,b,c.若3k=2ac/(a²+c²-b²),求cos²[(A+C)/2]+sin2B的值若k
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![如图,在直角坐标系xOy中,锐角△ABC内接于圆x²+y²=1.已知BC平行于x轴,AB所在直线方程为y=kx+m(k>0),记角A,B,C,所对的边长分别是a,b,c.若3k=2ac/(a²+c²-b²),求cos²[(A+C)/2]+sin2B的值若k](/uploads/image/z/13277339-35-9.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E7%9B%B4%E8%A7%92%E5%9D%90%E6%A0%87%E7%B3%BBxOy%E4%B8%AD%2C%E9%94%90%E8%A7%92%E2%96%B3ABC%E5%86%85%E6%8E%A5%E4%BA%8E%E5%9C%86x%26%23178%3B%2By%26%23178%3B%3D1.%E5%B7%B2%E7%9F%A5BC%E5%B9%B3%E8%A1%8C%E4%BA%8Ex%E8%BD%B4%2CAB%E6%89%80%E5%9C%A8%E7%9B%B4%E7%BA%BF%E6%96%B9%E7%A8%8B%E4%B8%BAy%3Dkx%2Bm%28k%EF%BC%9E0%EF%BC%89%2C%E8%AE%B0%E8%A7%92A%2CB%2CC%2C%E6%89%80%E5%AF%B9%E7%9A%84%E8%BE%B9%E9%95%BF%E5%88%86%E5%88%AB%E6%98%AFa%2Cb%2Cc.%E8%8B%A53k%3D2ac%2F%28a%26%23178%3B%2Bc%26%23178%3B-b%26%23178%3B%29%2C%E6%B1%82cos%26%23178%3B%5B%28A%2BC%29%2F2%5D%2Bsin2B%E7%9A%84%E5%80%BC%E8%8B%A5k)
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