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#4634a40c-1a5a-4f83-a60a-c49b7c453d64中等解答题解三角形综合应用三角函数与三角恒等变换

4.(2023•盐城三模)在ΔABC\Delta ABC中,ADADΔABC\Delta ABC的角平分线,且AD=2AD=2
(1)若BAC=2π3\angle BAC=\frac{2\pi }{3}AB=3AB=3,求ΔABC\Delta ABC的面积;
(2)若BD=3BD=3,求边ACAC的取值范围.