设A、B为圆X²+Y²=1,O为原点坐标(A、B、O不共线)(1)求证:OA向量+OB向量与OA向量-OB向量垂直(2)当∠xOA=45°,∠xOB=α,α∈(-45°,45°),且OA向量×OB向量=3/5时,求sinα的值
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![设A、B为圆X²+Y²=1,O为原点坐标(A、B、O不共线)(1)求证:OA向量+OB向量与OA向量-OB向量垂直(2)当∠xOA=45°,∠xOB=α,α∈(-45°,45°),且OA向量×OB向量=3/5时,求sinα的值](/uploads/image/z/8573462-62-2.jpg?t=%E8%AE%BEA%E3%80%81B%E4%B8%BA%E5%9C%86X%26%23178%3B%2BY%26%23178%3B%3D1%2CO%E4%B8%BA%E5%8E%9F%E7%82%B9%E5%9D%90%E6%A0%87%EF%BC%88A%E3%80%81B%E3%80%81O%E4%B8%8D%E5%85%B1%E7%BA%BF%EF%BC%89%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9AOA%E5%90%91%E9%87%8F%2BOB%E5%90%91%E9%87%8F%E4%B8%8EOA%E5%90%91%E9%87%8F-OB%E5%90%91%E9%87%8F%E5%9E%82%E7%9B%B4%EF%BC%882%EF%BC%89%E5%BD%93%E2%88%A0xOA%3D45%C2%B0%2C%E2%88%A0xOB%3D%CE%B1%2C%CE%B1%E2%88%88%EF%BC%88-45%C2%B0%2C45%C2%B0%EF%BC%89%2C%E4%B8%94OA%E5%90%91%E9%87%8F%C3%97OB%E5%90%91%E9%87%8F%3D3%2F5%E6%97%B6%2C%E6%B1%82sin%CE%B1%E7%9A%84%E5%80%BC)
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