Name, class score
A multiple-choice question (this question is entitled *** 10, and each question has 3 points. Out of 30)
1 If point A (2, n) is on the X axis, then point B (n-2, n+ 1) is on ().
A, the first quadrant b, the second quadrant c, the third quadrant d and the fourth quadrant.
In the plane rectangular coordinate system, the coordinate of point P (-4,3) with respect to the axisymmetrical point of X axis is ().
A ( -4，3) B( -4，-3 ) C(4，-3 ) D( 4，3)
The line segment CD is translated from the line segment AB, and the corresponding point of point A (-1, 4) is c (4,7), so the coordinate of point D of point B (-4, 1) is ().
a，(2，9) B，(5，3) C，( 1，2) D，(9，4)
4 In the function, the value range of the independent variable X is ()
A x≥ 1 B x ≠2 C x≥- 1 and x ≠2 D x≥ 1 and x ≠2.
5 Regarding the function y=-2x+3, the following conclusion is correct ().
A. The image must pass through point (-2,3) b. The image passes through the first, second and third quadrants.
C, when x & gt3/2, y
Xiaoming goes to school by bike and starts driving at a constant speed. On the way, the bike broke down, so he had to get off to repair it. After the car was repaired, he sped up and drove to school at a uniform speed. As shown in the figure, the driving distance s (meters) and the time t (minutes) are function images, so the image that conforms to Xiaoming's cycling situation is roughly ().
A B C D
7 as shown in the figure, if the image of a linear function y=kx+b passes through point a and point b, then kx+B >；; The solution set of 0 is ()
a，x & gt0 B，x & gt3 C，x & gt-2 D，-2 & lt； X< three
8 The intersection of the linear function y=3x-2 and the image of the linear function is P( 1, 1), so which of the following equations is the solution of ()?
A B C D
9 known isosceles triangle on both sides of the length of 4cm, 8cm, respectively, then its perimeter is ().
A, 12cm B, 16cm or 18cm C, 20cm D, 16cm.
10 The following statement is true ()
A. If ∠A=2∠B=3∠C, △ABC is a right triangle.
An outer angle of a triangle is greater than any of its inner angles.
C. A triangle is an obtuse triangle if its two outer corners are obtuse.
D if ∠A:∠B:∠ C= 1:2:3, △ABC is a right triangle.
Fill in the blanks (5 small questions in this question, 4 points for each question, out of 20 points)
1 If the point N(x, y) is in the second quadrant, and the distance to the X axis is 2 and the distance to the Y axis is 3, then the coordinate of the point n is _ _ _ _ _ _ _ _ _.
2 As shown in the figure, find the functional relationship of straight line AB according to the given image _ _ _ _ _.
3 If it is known that the intersection of the images of the linear function y=3x-5 and y=-2x+b is on the Y axis, then b = _ _ _ _ _ _ _
4 The images of the known straight lines y 1=-x+ 1 and y2=2x+ 1 are shown in the figure. Fill in the blanks according to the pictures. When X _ _ _ _ _, y1>: y2; When x_____, y 1
5 Write the inverse proposition that all four corners of a rectangle are right angles (_ _ _ _ _ _ _ _ _ _ _ _ _); This is a _ _ _ _ proposition (true or false)
III (This topic is ***2 small questions, with 6 points for each question, out of 100 points 12).
1 As shown in the figure, in the rectangular coordinate system, the vertices of △ABC are all on the grid, and the coordinates of point A are (2,-1).
(1) Write the coordinates of point B and point C. 。
(2) Find the area of △ABC ..
2 as a mirror image method for solving equations.
Four (***2 small questions, 8 points for each question, full score 16)
1 As shown in the figure, it is known that a straight line L passes through point A(- 1 0) and point B (2,3), and another straight line passes through point B and intersects point P (m,0) on the X axis.
(1) Find the analytical formula of straight line L;
(2) If the area of △APB is 3, find the value of m. 。
2 As shown in the figure, in △ABC, it is known that ∠ ABC = 60, ∠ ACB = 54, BE is the height on the side of AC, CF is the height on the side of AB, and H is the intersection of BE and CF. Find the degree of ∠BHC.
Five (***2 small questions, each 1 1, 22 in total)
1 In order to encourage Xiao Qiang to do housework frequently and cultivate his labor consciousness, Xiao Qiang's monthly expenses are obtained from his parents according to the salary he got from doing housework last month and the basic living expenses. Let Xiao Qiang spend x hours doing housework every month, and the total expenditure he can get this month (that is, next month) is y yuan, then the function image between y (yuan) and x (hour) is as shown in the figure.
(1) According to the picture, please write down the basic monthly living expenses in Xiao Qiang.
(2) Write the corresponding functional relationship between Y and X when 0≤x≤20;
(3) If Xiao Qiang wants to spend money in 250 yuan in May, how many hours of housework does Xiao Qiang need to do in April?
A chemical plant produced a chemical fertilizer, the ex-factory price per ton of chemical fertilizer was 1780 yuan, and its cost was 900 yuan. However, in the production process, an average of 280 cubic meters of harmful gases are emitted per ton of fertilizer. In order to protect the environment, workers need to treat harmful gases, and there are two treatment schemes to choose from:
(1) 3 yuan per cubic meter if the harmful gas is sent to the waste gas treatment plant for unified treatment through pipelines;
(2) If imported treatment equipment is used to treat harmful gases, the raw material cost per cubic meter is 0.5 yuan, and the monthly management and loss cost of the equipment is 28,000 yuan.
Set up a factory to produce X tons of chemical fertilizer every month, with a monthly profit of Y yuan.
(1) The functional relationship between Y and X is obtained when scheme ① and scheme ② treat harmful gas respectively;
⑵ According to the value of the monthly chemical fertilizer output X of the factory, through calculation and analysis, how should the factory choose the treatment scheme to obtain the maximum profit?