In the diamond ABCD with side length of 6, if ∠ ADC = 120 °, P is the upper moving point of AC and E is the middle point of BC, then the minimum value of Pb + PE is___

Because ABCD is a diamond, connecting PD, then Pb = PD, Pb + PE = PD + PE, connecting de. when point P is not on De, a triangle PDE is formed. According to the principle that the sum of two sides of the triangle is greater than the third side, PD + PE > de. therefore, only when point P is on De, PD + PE = De is the minimum

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