As shown in the figure, ∠C in the triangle ABC is 90, AC = 6°, BC = 8°, M is the midpoint of BC, P is the last moving point on AB (not coincident with A and B), and the angle MPD is 90.

(1) If p is taken as PH⊥BC in H, then pH ∑ AC;

In Rt△ABC, AC=6, BC = 8;; Then ab = 10.

∵P is the moving point of AB, which can coincide with A and B (BP of A is 0, BP of B is 10).

But x cannot be equal to 5.

∵ When x=5, P is the midpoint of AB, PM‖AC, and PD‖BC, PD and BC do not intersect, which contradicts the known topic, so the value range of X is 0≤x≤ 10, and x≠5.

It is easy to know △BPH∽△BAC and get:

$\frac{PH}{AC}=\frac{BP}{AB}$,PH=$\frac{AC? BP } { AB } $ = $ \ frac { 3 } { 5 } $ x;

∴ y = $ \ frac {1} {2} $× 4× $ \ frac {3} {5} $ x = $ \ frac {6} {5} $ x (0 ≤ x≤10 and x ?

(2) when d is on BC,

( 1) ∠ PMB = ∠ B,BP=PM,MH = BH = 2;

At this time △MPD∽△BCA, the result is: $ \ frac {x} {10} = \ frac {2} {8} $,and the solution is $ x = \ frac {5} {2} $.

② When ∠ PMB = ∠ A, △DPM∽△ACB, we get: DP? BA=DM? BC;

∴ 10x=4×8,x = $ \ frac { 16 } { 5 } $;

When d is on the BC extension line,

Because ∠ PMD > ∠ B, we only discuss ∠ PDM = ∠ B;

When p and a coincide, in Rt△MPD, AC⊥MD, then ∠MAC=∠PDM,

∫tan∠MAC = $ \ frac { 2 } { 3 } $,tanB=$\frac{3}{4}$,tan∠MAC∠PDM;

Therefore, △PDM and △ACB cannot be similar;