In the parallelogram ABCD, ab = 4, ad = 3, triangle bad = 60, find the area of ABCD

Six times root three

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1. 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°
2. A quadrilateral ABCD inscribed in a circle, CE ∥ BD intersecting the extension of AB in e AD.BE=BC .DC
3. 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
4. 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
5. 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
6. 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?
7. 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
8. The counterexample is () A. x=4B. x=3C. x=2D. x=15
9. Proof problem: known: as shown in the figure, in the quadrilateral ABCD, ab ‖ CD, ab = CD. Proof: ad = CB
10. 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
11. 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
12. 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
13. In the parallelogram ABCD, ab = 4 √ 6cm, ad = 4 √ 3cm, a = 45 ° find the diagonal and area of the parallelogram The area is 48
14. If the perimeter of the parallelogram ABCD is 1cm, ab = 2BC, then ab=___ cm,BC___ cm
15. In the parallelogram ABCD, AC and BD are diagonals, the proof is: AC & # 178; + BD & # 178; = AB & # 178; + BC & # 178; + CD & # 178; + Da & # 178;
16. 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=
17. 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;)
18. 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:
19. ▱ the circumference of ABCD is 36 & nbsp; cm, ab = 57bc, then the length of the longer side is () A. 15cmB. 7.5cmC. 21cmD. 10.5cm
20. In parallelogram ABCD, de bisects AB vertically, the perpendicular foot is point E, the perimeter of parallelogram ABCD is 36cm, and the perimeter of triangle abd is 10cm less than that of parallelogram ABCD. The length of AB and BC can be calculated Urgent need