Collect test papers, download test papers, analyze test papers and display answers.
First, multiple-choice questions (***8 small questions, 4 points for each small question, out of 32 points)
The absolute value of 1 and-is ()
a、B、C、D、
According to the data of the sixth national census in China, the total population living in cities and towns has reached 665,575,306. Using scientific notation (three significant figures are reserved) to represent 665,575,306 is about ().
a、66.6× 107 B、0.666× 108 C、6.66× 108 D、6.66× 107
Display analysis 3. In the following figures, the one with central symmetry and axial symmetry is ()
A, equilateral triangle b, parallelogram c, trapezoid d, rectangle
Display analysis 4. As shown in the figure, in trapezoidal ABCD, AD∑BC, diagonal AC and BD intersect at point O. If AD= 1 and BC=3, the value is ().
A, B, C, D,
Display analysis 5. The high temperature in some districts and counties in Beijing on a certain day in June this year is as follows:
County Daxing Tongzhou Pinggu Shunyi Huairou Mentougou Yanqing Changping Miyun Fangshan
Maximum temperature 32 32 30 32 30 32 32 29 32 30 32
Then the mode and median of the highest temperature in these 10 districts and counties are () respectively.
a、32、32 B、32、30 C、30、32 D、32、3 1
Display analysis 6. There are two white balls, five red balls and eight yellow balls in an opaque box. There is no difference between these balls except color. Now draw a ball randomly from this box, and the probability of touching the red ball is ().
A, B, C, D,
Display analysis 7. The vertex coordinate of the parabola y=x2-6x+5 is ().
a 、( 3，-4) B 、( 3，4) C 、( 3，-4) D 、( 3，4)
Display analysis 8. For example, Rt△ABC, ∠ ACB = 90, ∠ BAC = 30, AB=2, D is a moving point on the side of AB (not coincident with points A and B), and CD passes through the vertical ray CA of point D at point E. Let AD=x and CE=y be in the following figure.
A, B, C, D,
VIP display analysis
Fill in the blanks (***4 small questions, 4 points for each small question, full score 16)
9. If the value of the score is 0, the value of x is equal to. Display resolution 10, decomposition factor: a3- 10a2+25a =. Display resolution 1 1. If the figure below is a surface expansion diagram of a geometry, then this geometry is. The display resolution on the right is 12. When I < J, ai, J = 0. For example, when i=2, j= 1, ai, j=a2, 1 = 1. According to this regulation, a 1, 3 =; Among the 25 figures in the table, * * has a1; Calculate a 1, 1? ai， 1+a 1，2？ ai，2+a 1，3？ ai，3+a 1，4？ ai，4+a 1，5？ The value of ai, 5 is.
a 1， 1 a 1，2 a 1，3 a 1，4 a 1，5
2， 1 a2，2 a2，3 a2，4 a2，5
3， 1 a3，2 a3，3 a3，4 a3，5
4 1 a4，2 a4，3 a4，4 a4，5
5， 1 a5，2 a5，3 a5，4 a5，5
VIP display analysis
Iii. Answer questions (*** 13 small questions, out of 72 points)
13, calculation: Show analysis 14, solve inequality: 4 (x- 1) > 5x-6. Show the analysis 15 and find the algebraic expression A (a+4b)-(a+). ∠A=∠F，AB = FD。 Verification: AE = FC. Display analysis 17. As shown in the figure, in the plane rectangular coordinate system xOy, the intersection of the image of the linear function y=-2x and the image of the inverse proportional function y= is A(- 1, n).
(1) Find the analytical formula of inverse proportional function y=;
(2) If P is a point on the coordinate axis and PA=OA is satisfied, write the coordinates of point P directly. Display and analyze 18, solving application problems by listing equations or equations;
After the opening of Jingtong Bus Rapid Transit, in response to the call of the municipal government for "green travel", Xiao Wang, who lives in Tongzhou New Town, took a bus to work instead of a car. It is understood that Xiao Wang's home is away from his work place 18km. The average hourly distance he travels by bus is more than twice that by car, and it takes him more time to travel from home to work by bus than by car. According to the analysis 19, as shown in the figure, at △ABC, ∠ ACB = 90, D is the midpoint of BC, DE⊥BC, ce∨ad, if AC=2, CE=4, find the circumference of quadrilateral ACB.
Display analysis 20. As shown in the figure, at △ABC, AB=AC, ⊙O with the diameter of AB intersects with AC and BC at points D and E respectively, and point F is on the extension line of AC, and ∠ CBF = ∠ Cab.
(1) Verification: the straight line BF is the tangent of ⊙O;
(2) If AB=5 and sin∠CBF=, find the length of BC and BF. The display analysis is 2 1. The following are some statistical charts drawn according to the relevant data in the Statistical Bulletin of Beijing National Economic and Social Development.
Please answer the following questions based on the above information:
(1) How many tens of thousands of private cars were owned in Beijing in 2008 (with three significant figures retained)?
(2) completing the bar graph;
(3) The increase in the number of cars not only causes traffic congestion, but also increases carbon emissions. In order to understand the situation of automobile carbon emissions, Xiaoming learned through the internet that automobile carbon emissions are related to automobile emissions. For example, a car with a displacement of 1.6L travels 65438+100000 kilometers a year, and its carbon emission this year is about 2.7 tons. So he surveyed 65438 people in his residential area.
The displacement (L) is less than 1.6 1.6 1.8 and greater than 1.8.
Quantity (vehicle) 29 75 3 1 15
According to Xiao Ming's statistical data, please calculate and estimate that in 20 10, the total carbon emission of private cars with a displacement of only 1.6L in Beijing will be about 10,000 tons (assuming that each car travels 65,438+10,000 kilometers on average). Display analysis 22. Read the following materials:
Xiao Wei has encountered such a problem, as shown in figure 1. In trapezoidal ABCD, AD∨BC, diagonal AC and BD intersect at point O. If the area of trapezoidal ABCD is 1, try to find the area of a triangle with the lengths of AC, BD and AD+BC as three sides.
Xiao Wei thought this way: To solve this problem, first try to move these scattered line segments, construct a triangle, and then calculate its area. He tried the methods of folding, rotating and translating, and found that this problem can be solved by translating. His method is to intersect the parallel line of AC at point D and the extension line of BC at point E, and the δ△BDE is a triangle with the lengths of AC, BD and AD+BC as three sides.
Refer to Xiao Wei's thinking method to solve the following problems:
As shown in Figure 3, the three midlines of △ABC are AD, BE and CF respectively.
(1) In Figure 3, draw and mark a triangle with AD, BE and CF as three sides (leaving traces of painting);
(2) If the area of △ABC is 1, the area of the triangle with three sides of AD, BE and CF is equal to. Display analysis 23. In the plane rectangular coordinate system xOy, the image of the quadratic function y = mx2+(m-3) x-3 (m > 0) intersects the X axis at two points A and B (point A is a point).
(1) Find the coordinates of point A;
(2) When ∠ ABC = 45, find the value of m;
(3) It is known that the linear function y=kx+b and the point P(n, 0) is the moving point on the X axis. Under the condition of (2), the image of this linear function intersects at point m, and the image of the quadratic function y = mx2+(m-3) x-3 (m > 0) intersects at. In ABCD, the bisector of ∠BAD intersects with the straight line BC at point E, and intersects with the straight line DC at point F.
(1) In figure 1, it is proved that CE = CF
(2) If ∠ ABC = 90, and G is the midpoint of EF (as shown in Figure 2), write ∠BDG directly;
(3) If ∠ ABC = 120, FG∨CE and FG=CE, connect DB and DG respectively (as shown in Figure 3), and find the degree of ∠BDG.
VIP display analysis 25. As shown in the figure, in the plane rectangular coordinate system xOy, I call the graph composed of two rays AE and BF and a semicircle with a diameter of AB as graph C (note: AB line segment is not included). A (- 1, 0), B (1, 0), AE∑BF, semicircle and y are known.
(1) Find the straight-line distance between two rays AE and BF;
(2) When the image of linear function y=x+b has only one common point with graph C, write the value range of b;
When the image of linear function y=x+b has just two points in common with figure c, write the range of b;
(3) known? All the vertices of AMPQ (four vertices A, M, P and Q are arranged clockwise) are on the graph C, and not all of them are on two rays. Find the range of abscissa x of point m.