高中数学下求证题(高一下P92_9)已知,3sinβ = sin(2α + β),求证 tan(α + β) = 2tanα按和差角公式,好了好几种情况,但还是想不出其关系,这个到底该怎么证明呢?\("▔□▔)/来个清晰的3sinβ=sin(2α+β)3sin[
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![高中数学下求证题(高一下P92_9)已知,3sinβ = sin(2α + β),求证 tan(α + β) = 2tanα按和差角公式,好了好几种情况,但还是想不出其关系,这个到底该怎么证明呢?\(](/uploads/image/z/13917093-69-3.jpg?t=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E4%B8%8B%E6%B1%82%E8%AF%81%E9%A2%98%28%E9%AB%98%E4%B8%80%E4%B8%8BP92_9%29%E5%B7%B2%E7%9F%A5%2C3sin%CE%B2+%3D+sin%282%CE%B1+%2B+%CE%B2%29%2C%E6%B1%82%E8%AF%81+tan%28%CE%B1+%2B+%CE%B2%29+%3D+2tan%CE%B1%E6%8C%89%E5%92%8C%E5%B7%AE%E8%A7%92%E5%85%AC%E5%BC%8F%2C%E5%A5%BD%E4%BA%86%E5%A5%BD%E5%87%A0%E7%A7%8D%E6%83%85%E5%86%B5%2C%E4%BD%86%E8%BF%98%E6%98%AF%E6%83%B3%E4%B8%8D%E5%87%BA%E5%85%B6%E5%85%B3%E7%B3%BB%2C%E8%BF%99%E4%B8%AA%E5%88%B0%E5%BA%95%E8%AF%A5%E6%80%8E%E4%B9%88%E8%AF%81%E6%98%8E%E5%91%A2%3F%5C%28%22%E2%96%94%E2%96%A1%E2%96%94%29%2F%E6%9D%A5%E4%B8%AA%E6%B8%85%E6%99%B0%E7%9A%843sin%CE%B2%3Dsin%282%CE%B1%2B%CE%B2%293sin%5B)
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