Collect test papers, download test papers, analyze test papers and display answers.
First, multiple-choice questions (3 points for each small question, a total of 36 points)
1, the following operation is correct ().
a、x5+x5=2x 10B 、-(-x)3？ (-x)5=-x8
c 、(-2x2y)3？ 4x-3=-24x3y3
d 、( 12x-3y)(- 12x+3y)= 14x 2-9 y2
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a 、( 0，0) B 、( 12，- 12) C 、( 22，- 22) D 、(- 12， 12)
Display analysis 3. △ABC, (1) is known as shown in figure 1. If point P is the intersection of bisectors of ∠ABC and ∠ACB, ∠ P = 90+12 ∠ A; (2) As shown in Figure 2, if point P is the intersection of bisectors of ∠ABC and ∠ACE, then ∠ P = 90-∠ A; (3) As shown in Figure 3, if point P is the intersection of the bisector of the external angle ∠CBF and ∠BCE, then ∠ P = 90-12 ∠ A. The number of the above statements is ().
a，0 b， 1 c，2 d，3。
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A, 60 B, 120 C, 60 or 150 D, 60 or 120.
★★★★★★★★ Display Analysis 5. Put a few barrels of instant noodles on the table, and give three views of it on the left side of the physical map, so this pile of instant noodles has a total of ().
A, 5 barrels b, 6 barrels c, 9 barrels d, 12 barrels
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a、 19 B、445 C、745 D、25
VIP display analysis 7. It is known that the real number x satisfies x2+ 1x2+x+ 1x=0, so the value of x+ 1x is ().
A, 1 or -2 B,-1 or 2 C, 1 D, -2
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1. The morning sun must rise in the east.
B, you can definitely see the moon on the night of Mid-Autumn Festival.
C, turn on the TV, children's programs are being broadcast.
D Xiaohong is 0/4 years old this year/kloc. She must be a junior high school student.
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a、2π B、4π C、2 3 D、4
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A, B, C, D,
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a、2 B、2 C、 10 D、 10
☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆?☆☆☆97③b+2a < 0； ④ ABC > 0。 The serial number of all correct conclusions is ().
a、③④ B、②③ C、①④ D、①②③
Display parsing
Fill in the blanks (4 points for each small question, 24 points in total)
13, known as: x-2m= 1, y-4m=3, and the algebraic table containing x represents y =. The analysis 14 will be displayed. In △ABC, AB > BC > AC, D is the midpoint of AC, and the intersection point D is a straight line L, so the truncated triangle is the same as the original triangle. The straight line AB and CD intersect at point O, ∠ AOC = 30, and the center of ⊙P with radius of 1cm is on ray OA. PO = 6 cm at first. If ⊙P moves from A to B at the speed of 1cm/ s, then when ⊙P rotates the right angle △ABC clockwise by 90 to the position of △ A ′ b ′ c, it is known that AB= 10, BC=6, and m is the midpoint of A ′ b ′, then AM. The display resolution is 17, and we know 1 nm = 10. Then the diameter of this pollen can be recorded as meters by scientific notation. ★★★☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆9
Third, solve the problem (there are 7 small questions in this big question, with a total of 90 points)
19 、( 1)-22+(- 12)-2-( 1-2)2-( 1-tan 30)+2 sin 45
(2) Solve the equation: x2-| x- 1 |- 1 = 0. Display analysis 20. A family has three children, (1) find the probability that the family has two boys and 1 girl; (2) Find the probability that there is at least one boy in this family. Display analysis 2 1. Cut out an isosceles triangle with a waist length of 5 cm on a rectangular cardboard with a length of 9 cm and a width of 8 cm (one vertex of the isosceles triangle is required to coincide with one vertex of the rectangle, and the other two vertices are on the side of the rectangle). Please calculate the area of cutting isosceles triangle? Display analysis 22. Read and answer the following questions:
(1) As shown in the figure, there are two points A and B on both sides of the straight line L. Find a point P on the straight line L to minimize the value of AP+BP. (It is required to draw with a ruler, leaving traces of the painting, without drawing and proofing. )
(2) As shown in Figures A and B, two chemical plants are located on the same side of a straight river bank. The distance between a factory and the river bank is 1km, and the distance between a factory and the river bank is 2km. According to the measurement, the distance between C and D on the river bank is 6 km. Now a sewage treatment plant will be built beside the river bank. In order to make the sewage pipes from Factory A and Factory B to the sewage treatment plant shortest, how far away from C should the sewage treatment plant be built?
(3) Through the above answers, fully expand the association, and use the idea of combining numbers and shapes, please try to solve the following problems: If y=x2+ 1+(9-x)2+4, when X is what value, the value of Y is the smallest, so find this minimum value. Display analysis 23. In order to welcome the 2002 World Cup, a football association held a football match.
Integer 3 1 0
Reward (RMB/person) 1500 700 0
By the end of the 12 round (each team needs 12 games), the score of Team A is 19.
(1) Please judge how many games Team A won, drew and lost by calculation;
(2) If each player gets the appearance fee of 500 yuan, let the sum of the bonus and appearance fee of a player in Team A be W (yuan), and find the maximum value of W ☆☆☆☆☆☆ display analysis 24. In the isosceles trapezoid ABCD, AD∨BC, AB=DC, BC = 2. Take CD as the diameter.
(1) Find the coordinates of c and d;
(2) Verification: EF is the tangent of ⊙O 1;
(3) Whether there is a point P on the line segment CD, so that ⊙P with point P as the center and PD as the radius is tangent to the Y axis. If yes, request the coordinates of point P; If it does not exist, please explain why.
Display analysis 25. As shown in figure 1, it is known that the vertex of the parabola is A (0, 1), the vertices c and f of the rectangular CDEF are on the parabola, d and e are on the X axis, and CF intersects the Y axis at point B (0,2), with an area of 8.
(1) Find the analytical expression of this parabola;
(2) As shown in Figure 2, if point P is different from point A on the parabola, connect PB, and extend the intersecting parabola to point Q. The intersection points P and Q are perpendicular to the X axis, and the vertical feet are S and R respectively.
1 verification: Pb = PS
② judging the shape of △SBR;
③ Try to explore whether there is a point M on the line segment SR, so that a triangle with points P, S and M as vertices is similar to a triangle with points Q, R and M as vertices. If yes, please find out the location of point M; If it does not exist, please explain why.