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As shown in the figure, it is known that △ABC is an equilateral triangle, E is any point on the extension line of AC, choose a point D, so that △CDE is an equilateral triangle, M is the midpoint of the line segment AD, and N is the midpoint of the line segment BE point, please explain why △CMN is an equilateral triangle.

As shown in the figure it is known that ABC is an equilateral triangle E is any point on the extension line of AC choose a point D so that CDE is an equilateral class=


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