A quadrilateral ABCD inscribed in a circle, CE ∥ BD intersecting the extension of AB in e AD.BE=BC .DC

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• 1. If PAB / PA = 1 / 2, PC / PD = 1 / 3, then the value of FBC / AD is? This is the answer to the 14 questions filled in the blanks in 2010 The right process Wrong number There's no F
• 2. It is known that the quadrilateral ABCD is a spatial quadrilateral, and e.f.g.h is a spatial quadrilateral AB.BC.CD . da What is the shape of a quadrilateral efgh 2 when AC = BD, the shape of efgh is 3 when AC ⊥ BD, the shape of the quadrilateral efgh is 4 when AC and BD satisfy, the quadrilateral efgh is a square
• 3. It is known that e, F, G and H are respectively the middle points of AB, BC, CD and DA on the four sides of the spatial quadrilateral ABCD It is known that e, F, G and H are respectively the middle points of AB, BC, CD and DA on the four sides of the space quadrilateral ABCD 1. If BD = 2, AC = 6, then eg & sup2; + HF & sup2= 2. If the angle between AC and BD is 30 °, AC = 6, BD = 4, calculate the area of efgh
• 4. Take e, F, G and h on AB, BC, CD and Da of space quadrilateral ABCD If it can intersect with EF and GH at a point P, what is the position of point P?
• 5. If x and y are all real numbers, and a = xsquare - 2Y + 1, B = ysquare - 2x + 2, it is proved that at least one of a and B is greater than 0
• 6. The counterexample is () A. x=4B. x=3C. x=2D. x=15
• 7. Proof problem: known: as shown in the figure, in the quadrilateral ABCD, ab ‖ CD, ab = CD. Proof: ad = CB
• 8. Suppose that vector a + radical 3 vector B is perpendicular to 4 vector A-3 radical 3 vector B, 2 vector a + radical 3 vector B is perpendicular to vector a-radical 3 vector B, And the vectors a and B are not equal to 0, find the angle between a and B
• 9. The values of cos0 °, tan0 ° and sin0 ° are obtained
• 10. Let a and B be square matrices of order n, and | a | is not equal to 0. It is proved that AB is similar to ba
• 11. In quadrilateral ABCD, ad ∥ BC, in order to judge whether quadrilateral ABCD is parallelogram, it should also satisfy () A.∠A+∠C=180° B.∠B+∠D=180° C.∠A+∠B=180° D.∠A+∠D=180°
• 12. In the parallelogram ABCD, ab = 4, ad = 3, triangle bad = 60, find the area of ABCD
• 13. M is the midpoint of edge ad of parallelogram ABCD, and MB = MC. Can you explain that parallelogram ABCD must be a rectangle ten minutes
• 14. In the parallelogram ABCD, ad = 2ad, M is the midpoint of AB, connecting DM and MC. What is the positional relationship between DM and MC? Please prove AB=2AD Revision of the previous question
• 15. In the parallelogram ABCD, ab = 4 √ 6cm, ad = 4 √ 3cm, a = 45 ° find the diagonal and area of the parallelogram The area is 48
• 16. If the perimeter of the parallelogram ABCD is 1cm, ab = 2BC, then ab=___ cm,BC___ cm
• 17. In the parallelogram ABCD, AC and BD are diagonals, the proof is: AC & # 178; + BD & # 178; = AB & # 178; + BC & # 178; + CD & # 178; + Da & # 178;
• 18. In the parallelogram ABCD, it is known that the lengths of two diagonal lines AC and BD are 4 and 6 respectively, then AB & # 178; + BC & # 178=
• 19. As shown in the figure, we know that the parallelogram ABCD and AC BD are diagonals, and prove that AC & # 178; + BD & # 178; = 2 (AB & # 178; + BC & # 178;)
• 20. As shown in the figure, in the parallelogram ABCD, point m is on the extension line of Da, point n is on the extension line of DC, and Mn ‖ AC and Mn intersect AB and BC at points P and Q respectively ① Try to explore the size relationship between MQ and NP ② If Mn intersects the extension lines of AB and CB at points P and Q respectively, does the size relationship between MQ and NP still hold? Illustration: