20 18 Henan college entrance examination mathematical simulation questions (including answers)

A, multiple-choice questions (this big titled ***8 small questions, each small question 5 points, * * * 40 points. Only one of the four options given in each small question meets the requirements of the topic. )

20 18 Henan college entrance examination mathematics simulation test 2. Fill in the blanks (this big title is ***7 small questions, 6 points for multiple empty questions, 4 points for single empty questions and 36 points for * * *. )

9. The figure shows three views of a geometry (unit: cm), so the surface area of the geometry is _ _ _ _ ______cm2 and the volume is _ _ _ _ ______cm3.

15. known plane vectors a, b, |a|= 1, |b|=2, A B = 1. If e is a plane unit vector, the maximum value of | A E |+| B E | is _ _ _ _.

20 18 Henan college entrance examination mathematics simulation test three. Answer the question (this big question is ***5 small questions, and the score is ***74. The solution should be written in words, proof process or calculus steps. )

16. (The full mark of this question is 14) In △ABC, the sides of inner angles A, B and C are A, B and C respectively. It is known that B+C = 2acosb.

(i) Proof: A = 2b

18. (The full mark of this question is 15) As shown in the figure, in the triangular prism ABC-DEF, the plane BCFE⊥ plane ABC, ∠ ACB = 90, BE=EF=FC= 1, BC=2, AC=3.

(i) Verification: BF⊥ aircraft acfd；;

(II) Find the cosine of the included angle between the straight line BD and the plane ACFD.

(1) Find the value of p;

(2) If the straight line AF intersects with the parabola at another point B, the straight line passing through B and parallel to the X axis intersects with the straight line passing through F and perpendicular to AB at point N, and an intersects with the X axis at point M, find the range of the abscissa of M. 。