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Shiyan mathematics examination questions in 2008
In 2008, Shiyan City, Hubei Province took the senior high school entrance examination in mathematics.

Collect test papers, download test papers, analyze test papers and display answers.

I. Multiple choice questions (*** 10 small questions, 3 points for each small question, out of 30 points)

The reciprocal of 1 and 5 is ()

A, b, -C, 5 D,-5 ★★★★★☆ Display analysis II. Three line segments with the following lengths can form a triangle ().

a、 1cm、2cm、3cm B、2cm、3cm、6cm

c、4cm、6cm、8cm D、5cm、6cm、 12cm

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A, 3cm b, 6cm c, 1 1 cm d,14cm.

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a、50 B、40 C、25 D、20

Show analysis 5, equation 3x+ denominator is correct ()

a、 18x+2(2x- 1)= 18-3(x+ 1)B、3x+(2x- 1)=3-(x+ 1)

c、 18x+(2x- 1)= 18-(x+ 1)D、3x+2(2x- 1)=3-3(x+ 1)

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A, B, C, D,

VIP display analysis 7. As the picture shows, there is a pile of books and a teacup on the desk, and the picture from the left is ().

A, B, C, D,

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A、∠3=∠4 B、∠A+∠ADC= 180

c、∠ 1=∠2 D、∠A=∠5

★★★★★☆ Display analysis 9. As shown in the figure, move △PQR to the right by 2 unit lengths and then move down by 3 unit lengths, and the coordinate of the translated vertex P will be ().

a 、(-2,-4) B 、(-2,4) C 、( 2,-3) D 、(- 1,-3)

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A, the first quadrant b, the second quadrant c, the third quadrant d and the fourth quadrant

Display analysis

Fill in the blanks (***6 small questions, 3 points for each small question, full score 18 points)

11On the evening of May, 2008 18, CCTV held a large-scale fund-raising activity of "Dedication of Love". It is understood that all sectors of society donated about1514,000,000 RMB to the Sichuan disaster area. This figure can be expressed as RMB in scientific notation. ☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆?☆☆☆97?☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆

Third, answer questions (***9 small questions, out of 72 points)

17, calculation: (-1)-2+2sin245-(1-) 0 display analysis 18, solving equations:. ☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆973

Complete the following questions in combination with the statistical chart:

In the (1) sector statistical chart, the percentage of the part representing 12.5 ≤ x < 13 is:

(2) Please complete the histogram of frequency distribution, and the median of this sample data falls in the first group;

(3) Which diagram can better explain that more than half of the cars are driving between 13 ≤ x < 14? Which graph can better illustrate that there are more cars with a driving distance of 12.5 ≤ x < 13 than cars with a driving distance of 14 ≤ x < 14.5? ☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆?☆☆☆97。 VIP exhibition analysis 2 1, as shown in the figure, uses a wall (the length of the wall is not more than 45m) and an 80m-long fence to enclose a rectangular field.

(1) How to enclose the rectangular site to make the area reach 750m2;;

(2) Can the enclosed rectangular site area be 8 10m2? Why? VIP display analysis 22 As shown in the figure, a rectangular piece of paper ABCD is folded in half along the diagonal BD, so that point C falls at point E and BE and AD intersect at point F. 。

(1) Verification: △ ABF △ EDF;

(2) If the folded figure is restored to its original state, the point F coincides with the point MN∨OB on the BC side and DM is connected, try to judge the shape of the quadrilateral BMDF and explain the reasons. ☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆

(1) Verification: MN is the tangent of ⊙O;

(2) When 0B=6cm and OC=8cm, find the radius ⊙O and the length MN. . VIP display analysis. On May 24th, a strong earthquake struck Wenchuan County, Sichuan Province, China. During the earthquake relief, I learned that Party A and Party B urgently needed a large excavator, with 25 sets of them and 23 sets of them. After learning the situation, provinces A and B generously donated 26 excavators and 22 excavators of this type, and all of them were transferred to the disaster area. It costs 4000 yuan to transport an excavator from one province to one place and 3000 yuan to B. It costs 5,000 yuan to transport an excavator from B province to A place and 2,000 yuan to B place. If X excavators are transported from one province to one place, it will take Y million yuan for provinces A and B to transport all the donated excavators to the disaster area.

(1) Please directly write the functional relationship between Y and X and the range of the independent variable X;

(2) If the total cost does not exceed 6.5438+0.5 million yuan, what kinds of transportation schemes are there?

(3) How to design the transportation scheme to minimize the total cost? What's the minimum charge?