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The simulation paper for the senior high school entrance examination is simple in mathematics.
Settings? P( 1,m)

Calculate CD as? y=x+3

∴? ∠CDH? =? ∠DCO? =? 45

Again? PQ⊥CD? (Tangent)

∴? QK? =? Perceptual quantization

∴? PQ? =? (√2/2) afternoon

Again? P( 1,M),M( 1,4)

∴? PH? =? m

∴? PM? =? 4 meters

∴? PQ? =? (√2/2)(4-m)? =? 2√2? -? (√2/2) meters

∴? PQ^2? =? 8? -? 4m? +? ( 1/2)m^2

Again? A(- 1,0),H( 1,0)

∴? Huh? =2

∴? AP^2? =? AH^2? +? PH^2? =? 2^2? +? m^2? =? m^2? +4

Again? AP? =? QP?

∴? AP^2? =? QP^2

Namely. m^2? +4? =? 8? -? 4m? +? ( 1/2)m^2

Finishing:

m^2? +? 8m? -? 8? =? 0

Solution:

m 1? =? -4? +? 2√6

m2? =? -4? -? 2√6? (Give up) [I remember that the point P of this question is above the axis of symmetry]

∴? m? =? -4? +? 2√6

∴? P( 1,-4? +? 2√6)

Add some points, it's hard.