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正、余弦定理是学习有关三角知识的继续和发展,它深入揭示了三角形边与角之间的关系,在各个方面有着广泛的应用.现将其在解三角形中的综合应用例析如下,望读者能更全面地理解该思想,从而灵活掌握相关技巧.一、用正弦定理解三角形例1在△ABC中,a+c=2b,A-C=π/3,求sin B的值.思路本题由正弦定理出发,将边化为角,再结合三角恒等变换来解决.解∵a+c=2b,
The cosine theorem is to learn the continuation and development of the triangle knowledge, which reveals the relationship between the triangle edge and the angle, has a wide range of applications in all aspects. A more comprehensive understanding of the reader can understand the idea, so as to flexibly grasp the relevant skills. First, solve the triangle with sinusoidal theorem Example 1 △ ABC, a + c = 2b, AC = π / 3, find the value of sin B. Sinusoidal theorem starting, the edge of the corner, combined with triangular equivalent transform to solve. Solution ∵ a + c = 2b,