As shown in the figure, in square ABCD, points E and F are on edge BC and CD respectively. If AE = 4, EF = 3 and AF = 5, then the area of square ABCD is equal to () A. 22516B. 25615C. 25617D. 28916

∵ AE = 4, EF = 3, AF = 5 ∵ AE2 + ef2 = af2, ∵ AEF = 90 ∵ AEB + ∵ FEC = 90 ∵ square ABCD ∵ Abe = ∵ FCE = 90 ∵ CFE + ∵ CEF = ∵ EAB + ∵ AEB = 90 ∵ FEC = ∵ EAB ∽ ECF ∵ EC: ab = EF: AE = 3:4, namely EC = 34ab = 34bc ∵ be = bc4 = ab4 ∵

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1. As shown in the figure, in square ABCD, points E and F are on edge BC and CD respectively. If AE = 4, EF = 3 and AF = 5, then the area of square ABCD is equal to () A. 22516B. 25615C. 25617D. 28916
2. ABCD is a square, AE = 4, EF = 3, AF = 5, find the area of ABCD E is on BC, f is on CD
3. As shown in the figure, in square ABCD, points E and F are on edge BC and CD respectively. If AE = 4, EF = 3 and AF = 5, then the area of square ABCD is equal to () A. 22516B. 25615C. 25617D. 28916
4. As shown in the figure, in square ABCD, points E and F are on edge BC and CD respectively. If AE = 4, EF = 3 and AF = 5, then the area of square ABCD is equal to () A. 22516B. 25615C. 25617D. 28916
5. The vertex a of the square ABCD is in the shape ∠ EAF = 45 °, e, f is in the shape BC.CD Let EF be ah ⊥ EF in H. prove ah = ab
6. As shown in the figure, EF is the two points AE parallel CF on the diagonal BD of the quadrilateral ABCD, AE = CF, be = DF to prove the congruent triangle CBF of the triangle ade
7. In a pyramid p-abcd, planar pad ⊥ planar ABCD, ab ∥ CD, △ pad are equilateral triangles. It is known that BD = 2ad = 8, ab = 2dc = 4 √ 5 Let m be a point on PC, and prove that planar MBD ⊥ planar pad
8. The bottom of p-abcd is a rectangle, the side pad is an equilateral triangle, and the side pad ⊥ bottom ABCD, When the value of AD / AB is equal to, it can make Pb ⊥ AC? And the proof is given
9. In rectangular trapezoid ABCD, AD / / BC, ∠ ABC = 90 °, de ⊥ AC at point G, intersects the extension point e of AB, and AE = AC, if ad = DC = 2, find the length of DF How to prove that the DAC is 30 degree
10. As shown in the figure, in the trapezoidal ABCD, DC ‖ AB, ad = BC, BD bisects ∠ ABC, a = 60 ° (1) find the degree of ∠ abd; (2) if ad = 2, find the length of diagonal BD
11. P is a moving point outside the rectangular ABCD, and satisfies the AP vertical CP BP.DP When point P changes, does the degree of angle BPD change? If not, calculate the degree of angle BPD; if not, calculate the range of change
12. It is known that square ABCD is inscribed at O, and point P is a point on inferior arc ad. it connects AP, BP, CP and (AP + CP) / BP (important process)
13. There is a square ABCD whose side length is Q. P is a point on the diagonal BD. when p is at what position, the value of AP + BP + CP is the minimum
14. There is a point in rectangle ABCD, P AP = 8 bp = 7 CP = 6 DP =?
15. In rectangular ABCD, there is a point P, AP = 3, DP = 4, CP = 5, BP =? How to calculate?
16. In rectangle ABCD, take any point P, connect AP, BP, CP, DP, ask the relationship of AP, BP, CP, DP
17. Point P is a point in the square ABCD, connecting AP, BP, CP, DP. If △ ABP is an equilateral triangle, find the degree of ∠ cpd
18. In the pyramid p-abcd, the bottom surface ABCD is a distance shape, PA ⊥ ABCD, the point E is on PC, and the PC ⊥ surface BDE In the pyramid p-abcd, the bottom surface ABCD is a distance shape, PA ⊥ ABCD, the point E is on PC, and the PC ⊥ surface BDE is: ① prove: the BD ⊥ surface PAC; ② if PA = 1, ad = 2, find: the tangent value of the face angle b-pc-a
19. The diamond ABCD is on the plane a, PA is perpendicular to a, and PC is perpendicular to BD
20. As shown in the figure, the quadrilateral ABCD is a square, PD ⊥ plane ABCD, EC ∥ PD, and PD = 2ec. (I) prove: plane PBE ⊥ plane PBD; (II) if the dihedral angle p-ab-d is 45 °, find the sine value of the angle between the straight line PA and the plane PBE