Square ABCD is inscribed in circle O, P is a point on inferior arc BC, AP intersects BD with Q, QP = Qo, and QD / Qo is obtained= We haven't learned similarity and trigonometric functions yet

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• 1. The square ABCD is inscribed on the circle O, P is on the inferior arc AB, connecting PD and AC to Q, and PQ = OQ Sorry, I can't draw a picture
• 2. From a point m on the sphere with radius r, three pairs of perpendicular strings Ma, MB and MC of the leading sphere, then ma2 + MB2 + MC2 equals () A. R2B. 2R2C. 4R2D. 8R2
• 3. What is QC, QA, QE, and what is QB?
• 4. What do QC, QA, QE and QD mean in quality inspection?
• 5. Two charges a and B are placed on the smooth insulating plane in vacuum, with the distance r between them. The charges are QA = + 9q, QB = + Q respectively, and another point charge QC is placed Just so that the three spheres are in equilibrium only under the action of their mutual electrostatic force, what kind of charge should QC carry, where should it be placed, and what is the amount of charge
• 6. The difference between QA and QC
• 7. As shown in the figure, in the pyramid p-abcd, the bottom surface ABCD is a square, the PD ⊥ plane ABCD, and PD = AB = 2, e is the midpoint of Pb 1. Calculate the tangent of the angle between the paint line PD and AE 2. Verification: EF vertical plane PBC 3. Find the cosine value of dihedral angle f-pc-b
• 8. In a square pyramid p-abcd, the plane PCD is perpendicular to the plane ABCD, PC = PD = CD = 2, and the dihedral angle b-pd-c is calculated Urgent! It's a process
• 9. As shown in the figure, in the pyramid p-abcd, the quadrilateral ABCD is a rectangle, the plane PCD ⊥ the plane ABCD, and M is the midpoint of PC
• 10. The perimeter of parallelogram ABCD is 70, the distances AE and AF from vertex a to BC and CD are 10 and 15, respectively
• 11. As shown in the figure, square ABCD is inscribed in ⊙ o, q is a moving point on diameter AC, connecting DQ and extending intersection ⊙ o to P. if QP = Qo, then the value of QAQC is______ ．
• 12. As shown in the figure, in the parallelogram ABCD, e and F are on AB and ad respectively, and EF intersects AC at point g. if AE: EB = 2:3, AF: ad = 1:2, calculate the value of Ag: AC
• 13. As shown in the figure, in the parallelogram ABCD, e and F are on AB and ad respectively, and EF intersects AC at point g. if AE: EB = 2:3, AF: ad = 1:2, what is the value of Ag: AC
• 14. In the parallelogram ABCD, e is the midpoint of CD, connect be and extend it, intersect the extension line of ad with point F, and prove that e is the midpoint of BF and D is the midpoint of AF
• 15. Let e be the midpoint of AD, a right: b right = 2:3, and find the value of Ag: GC
• 16. Let e be the midpoint of AD, a right: b right = 2:3, and find the value of Ag: GC
• 17. ABCD is a square with side length of 4, e and F are the midpoint of AB and ad, GC is vertical to plane ABCD, GC is equal to 2, find the distance from B to plane EFG?
• 18. There are seven planes with the same distance from the four vertices of the space quadrilateral ABCD
• 19. In the rectangular coordinate system, there is a rectangle oabc, OA = 2, OC = 1, and the coordinate of point P is (0, - 1) (1) Finding the function analytic expression of the straight line PB (2) If the line L passing through P intersects with BC, and the ratio of the area of the rectangular oabc divided into parts is 1:4, the analytic function of the line L is obtained
• 20. As shown in the figure, oabc is a rectangular piece of paper, where OA = 8 and OC = 4. Through folding, point C coincides with point a, and the crease is ef (1). Find out the length of OE (2) And prove (3) whether there is a moving point P in the straight line where EF is located, so that the value of | pb-pc | is the maximum. If not, please explain the reason; if so, calculate the coordinates of point P