(mathematics) reference answer
This article includes 7 big questions, ***26 small questions and * * 6 pages. Full score of the whole paper 120 minutes, and the examination time 120 minutes. After the exam, this paper and the answer sheet should be returned together.
Precautions:
1. Before answering questions, candidates must fill in their own names and admission ticket numbers on the answer sheet, and paste the bar code accurately in the column area.
2. When answering questions, you must answer in the designated area on the answer sheet according to the test requirements. The answers on the draft paper and the test paper are invalid.
1. Multiple choice questions (3 points for each question, * * * 24 points)
1. Of the four numbers 2, 0, -2 and-1, the largest number is (a).
2 (B) 0。 (C) -2。 (D) - 1。
2. The Shenzhou-9 spacecraft was successfully launched, and a related tweet was forwarded 3.57 million times. The figure of 3.57 million is expressed as (c) by scientific counting.
(1). (B) (C) (D)
3. The solution set of inequality 3x-6 0 is (b)
(A) x>2 (B) x≥2。 (C)x BC。 Point d is on side B. △CDF=2BD。 Points e and f are on line segment AD. ∠ 1 = ∠ 2 = ∠ BAC。 If the area of △ABC is 9, then △ABE is equal to △ Abe.
five
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25. As shown in the figure, in the plane rectangular coordinate system, the straight line y=-2x+42 intersects with the X axis at point A, the straight line y=x intersects with point B, and the parabola intersects with line segments AB and OB at points C and D respectively. The abscissas of point C and point D are 16 and 4 respectively, and point P is on this parabola.
(1) Find the ordinate of point C and point D. 。
(2) Find the values of A and C. 。
(3) If Q is a point on the line segment OB, and the ordinate of both P and Q is 5, find the length of the line segment PQ.
(4) If Q is a point on the line segment OB or AB, PQ⊥x axis, let the distance between P and Q be D (d(d>0), and the abscissa of point Q be M, directly write out the value range of M when D decreases with the increase of M 。
(Reference formula: the vertex coordinates of the quadratic function image are [source: subject network ZXXK].
26. As shown in the figure, in Rt△ABC, ∠ ACB = 90, AC=8cm, BC=4cm, D and E are the midpoints of AB and BC, respectively, connecting d E, and point P starts from point A and moves along the dotted line AD-DE-EB, and ends at point B, and point P moves at the speed of cm/s on AD.
(1) When the point p moves on the line segment DE, the length of the line segment DP is cm (expressed by the algebraic expression with t).
(2) Find the value of t when point n falls on the edge of AB.
(3) When the overlapping part of square PQMN and △ABC is pentagon, let the area of pentagon be S(cm? ), find the functional relationship between S and T [Source: Subject Network]
(4) Connect the CD. When point N coincides with point D, point H starts from point M and continuously moves back and forth along M-N-M at a speed of 2.5cm/s on the line segment MN until point P coincides with point E, and point H stops moving back and forth; When point P moves on line EB, point H is always the midpoint of line MN. Write directly that the H point falls on the line CD during the whole movement of the P point.