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Someone gave me some valuable math questions! I'll answer it
In rectangular coordinate system

M is a point on the X axis, the circle M intersects with the X axis at points A and B, and intersects with the Y axis at points C and D, and P is a moving point on the arc BC. CQ bisects ∠PCD, AM=2. When point P moves, does the length of AQ change? If the evaluation remains the same, if the reason changes, I calculate AC=2, knowing that the syndrome is isosceles, it will not be a process.