问题
解答题
在△ABC中，三内角A、B、C及其对边a、b、c，满足sin（A－B）=sinB+sinC.
（Ⅰ）求角A的大小；
（Ⅱ）若a=6，求△ABC面积的最大值.
答案
（1）1200 （2）
（Ⅰ）
又
（Ⅱ）由余弦定理得：
，而
即
．当且仅当
时等号成立.
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在△ABC中，三内角A、B、C及其对边a、b、c，满足sin（A－B）=sinB+sinC.
（Ⅰ）求角A的大小；
（Ⅱ）若a=6，求△ABC面积的最大值.
（1）1200 （2）
（Ⅰ）
又
（Ⅱ）由余弦定理得：，而
即．当且仅当时等号成立.
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