这道题怎么做辅助线解答?---**Question 17**
**Total Score:** 15 points
**Question Stem:**
As shown in the figure, in the quadrangular pyramid P-ABCD, PA ⊥ plane ABCD, BC // AD, AB ⊥ AD.
**(1) Proof:**
Prove that plane PAB ⊥ plane PAD.
**(2) Given Conditions:**
If PA = AB = √2, AD = √3 + 1, BC = 2. Points P, B, C, D lie on the same sphere. Let the center of this sphere be O.
**(i) Proof:**
Prove that O is on plane ABCD.
**(ii) Calculation:**
Find the cosine value of the angle formed by line AC and line PO.
---
**Chart/Diagram Description:**
* **Type:** A three-dimensional geometric figure, specifically a quadrangular pyramid.
* **Main Elements:**
* **Vertices:** Labeled P (apex), A, B, C, D (base vertices).
* **Edges/Lines:**
* **Solid lines:** Represent visible edges: PB, PC, PD, AB, BC, CD.
* **Dashed lines:** Represent hidden edges or auxiliary lines: PA (the height from P to A), AC (a diagonal in the base), AD (an edge of the base).
* **Shapes:**
* The overall figure is a pyramid P-ABCD.
* The base ABCD is a quadrilateral. Given BC // AD and AB ⊥ AD, the base ABCD is a right trapezoid where AB is perpendicular to AD.
* **Relative Position and Direction:**
* Vertex P is positioned directly above vertex A, indicating PA is the height.
* The base ABCD is below P, with A, B, C, D forming a planar figure.