Given the vector a = (k, 1), B = (6, - 2), if a is parallel to B, then the real number k = 1___ ．

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• 1. Given the vector a = (2. K). B = (3. 4), and a is perpendicular to B, then the real number k =?
• 2. As shown in the figure, in △ ABC, CF ⊥ AB is in F, be ⊥ AC is in E, M is the midpoint of BC, EF = 5, BC = 8, then the perimeter of △ EFM is () A. 13B. 18C. 15D. 21
• 3. In Δ ABC, P is a point on the edge of BC, and | BP | = 2 | PC |, and D is the midpoint of AC. AP and BD intersect at point O. we use vectors AB and AC to represent vector Ao Use the solution of the three points collinear; a = λ B + (1 - λ) C
• 4. Given that point P is a point in the plane of triangle ABC and satisfies 3PA + 5pb + 2pc = 0, let the area of ABC be s, then the area of triangle PAC is
• 5. As shown in the figure, known quadrilateral ABCD is isosceles trapezoid, CD ‖ Ba, quadrilateral aebc is parallelogram
• 6. ABCD is trapezoid, ab ∥ CD, ADBE is parallelogram, the extension line of AB intersects EC in F Can s △ BCE be one third of s ladder ABCD? If not, explain the reason; if yes, find out the relationship between AB and CD The answer is yes. How can we prove it
• 7. As shown in the figure, e is the outer point of parallelogram ABCD, and ab ⊥ EC, be ⊥ ed, is parallelogram ABCD a rectangle?
• 8. In the parallelogram ABCD, ad = a, be parallel to AC, De, the length line of AC intersects F and be intersects E
• 9. In the triangular pyramid p-abc, △ PAC and △ PBC are equilateral triangles with side length √ 2, ab = 2, O and D are the midpoint of AB and Pb respectively 1) Verification: plane PAB ⊥ plane ABC (2) Find the volume of p-abc of triangular pyramid (3); OD is parallel to PAC
• 10. If O is a point in the plane of triangle ABC and iob-oci = iob + oc-2oai is satisfied, then the shape of triangle ABC is All the letters in the question represent vectors
• 11. If the image of the function y = a ^ (2x + b) + 1 (a > 0, a ≠ 1, B ∈ R) passes the fixed point (1,2), then what is B?
• 12. A (1.1), F 1 = (3.4), F 2 = (2. - 5). F 3 = (3.1), then the end point coordinate of the resultant force The options are (9,0) (0.9) (1.9) (9.1) In fact, I personally feel that the options are not right
• 13. As shown in the figure, a wooden block placed on a horizontal table is subjected to three forces in the horizontal direction, namely F1, F2 and friction. The wooden block is in a static state, where F1 = 10N and F2 = 4N A. If the force F1 is removed, the resultant force of the block in the horizontal direction may be 2Nb. If the force F1 is removed, the resultant force of the block in the horizontal direction must be 0C. If the force F2 is removed, the resultant force of the block in the horizontal direction may be 2nd. If the force F2 is removed, the resultant force of the block in the horizontal direction must be 0
• 14. As shown in the figure, a, B, C three objects stacked together, in the horizontal force F1 = F2 = 5N, at the same speed on the horizontal table uniform motion How much friction does object B have on a? How much friction does object B have on C? How much friction does the ground have on C?
• 15. An object with a mass of 1kg is subjected to two forces F1 = 3N and F2 = 4N respectively. If F1 and F2 are perpendicular to each other, then the acceleration of the object is A. 3 M / S ^ 2 b.4 M / S ^ 2 C.5 M / S ^ 2 d.7 M / S ^ 2
• 16. As shown in the figure, F1, F2, F3 and F4 are four common point forces on the same horizontal plane. Their sizes are F1 = 1n, F2 = 2n, F3 = 3N, F4 = 4N respectively. The included angles between them are 60 °, 90 ° and 150 ° respectively. If the direction of F1 is positive, their resultant force is small___ N. Direction__________ .
• 17. The product of the lengths of the real and imaginary semiaxes of the hyperbola is root sign 3, F1 and F2 are the left and right focal points, the straight line L passes through point F2, and the included angle with the straight line F1F2 is θ, Tan θ = root sign 21 / 2, the intersection of the vertical bisector of the straight line L and F1F2 with point P, the intersection of the line PF2 and the hyperbola with Q, and | PQ |: | QF2 | = 2:1, the hyperbolic equation is solved
• 18. A body is forced by F 1 = 6N to produce an acceleration of a 1 = 3m / S 2. How much force should be applied to make a 2 = 9m / S 2 acceleration
• 19. The masses of the three objects are M1 = 2kg, M2 = 4kg and M3 = 6kg, respectively, moving along a smooth horizontal plane at a certain speed, Now they brake under the same constant resistance, and finally they all stop (1) If the initial velocity is the same, what is the displacement ratio S1: S2: S3? (2) If it takes the same amount of time for the resistance to start and stop, what is the velocity V1: V2: V3 of their uniform motion?
• 20. When the angle between the two forces is 90 degrees, what is the resultant force?