1. Multiple choice questions (3 points for each question, *** 18 points) 1. The quadrant that the first function does not pass is b, which is a biquadratic equation; C. it is a univariate higher order equation; This is a fractional equation. 3. As shown in the figure, the value range of the abscissa of the point of the straight line L above the X axis is ................................ () ab; c; D..4 As shown in the figure, rectangular paper ABCD is folded diagonally, and the overlapping part is defined as △EBD. Then, the following statement is incorrect: ... ABE and CBD must be equal after folding; C, the graph obtained after folding is an axisymmetric graph; △ EBA and△ △EDC must be congruent triangles. 5. The event "the equation About y has a real number solution" is an inevitable event. ................................. () ab. Random event; C. impossible events; D. none of the above is correct. 6. As shown in the figure, in the trapezoidal ABCD, AD//BC, AB=CD, O are the intersections of diagonal AC and BD, so the following conclusions are correct: ......................................... (). b; Second edition. Fill in the blanks (2 points for each question, ***24 points) 7. The intersection of the linear function and the axis is _ _ _ _ _ _ _ _ _ _ _. 8. As shown in the figure, the straight line OA is translated down by 2 units to get the image of the linear function. Then the analytical expression of this linear function is .9. The root of the equation _ _ _ _ _ _ _ _ _. 10/0. Please write an irrational number equation with root number 2:. 1 1. When substituting the method to solve the equation, it can be set to =. Then transform the original equation into _ _ _ _ _ _ _.12. The sum of the external angles of nonagon is one degree. 13. Some red balls, white balls and black balls are exactly the same except the colors in the pockets. The probability of finding the red ball is 0.2 and the probability of finding the white ball is 0.5, so the probability of finding the black ball is. 14. In parallelogram ABCD, the ratio of degrees of two adjacent angles is 7: 2. Then the degree of the smaller angle is. 15. It is known that in the diamond ABCD, if the side length AB=4 and ∠ B = 30, the area of the diamond is equal to _ _ _ _ _ _ _.16. The quadrilateral is _ _ _ _ _ _ _ by connecting the midpoints of the sides of the quadrilateral in turn with diagonal lines perpendicular to each other. Let the number of a place be _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Question 26: 10, *. Solving equation: 20. Eating zongzi on Dragon Boat Festival is a traditional custom of the Chinese nation. On the morning of the fifth day of May, grandma prepared four zongzi for Xiaoming: one stuffed with meat, one stuffed with pickles and two stuffed with red dates. These four zongzi are all the same except the inner stuffing. Xiaoming likes to eat red dates. Please use the tree diagram to predict the probability that Xiaoming will eat two zongzi just wrapped with red dates. 2 1. As shown in the figure, quadrilateral ABCD and quadrilateral ACDE are parallelograms, (1) Fill in the blanks: _ _ _ _ _ _ _ _ _ _ _ _; ____________; (2) Ask: .22. As shown in the figure, a telecom company has provided the relationship between the mobile communication cost y (yuan) and the talk time x (minutes) of two schemes A and B. (1) When the talk time is less than 120 minutes, scheme A is cheaper than scheme B.: (2) When the communication cost is 60 yuan, the talk time of Scheme A is longer than that of Scheme B; (Fill in "more" or "less"); (3) Mr. Wang roughly calculated that his monthly mobile communication time is more than 220 minutes, so he will choose a solution of the telecom company. 23.20 10 Shanghai World Expo has entered the countdown, and the tickets for the Expo have now been ordered. It is understood that online booking is more favorable than telephone booking for each ticket in 40 yuan, and 4,800 yuan is reserved for one calibration to order air tickets. The clever headmaster ordered six more tickets than the telephone order. What is the price of each ticket ordered by telephone? 24. As shown in the figure, in △ABC, points D and E are the midpoints of sides BC and AC, respectively, and the extension line of AF//BC intersection line d E intersects with point F through point A, and the midpoint G of AF is taken. If BC = 2ab, it is proved that (1) quadrilateral ABDF is a diamond; (4 points) (2) AC = 2dg. (4 points) 25. As shown in the figure, in the rectangular coordinate plane xoy, point A is on the X axis, point C and point E are on the Y axis, e is the OC midpoint, BC//x axis, BE⊥AE, connection AB, (1) Verification: AE bisection. (4 points) (2) When OE=6 and BC=4, find the analytical formula of straight line AB. (4 points) 26. In a square ABCD with a side length of 4, point O is the midpoint of diagonal AC, p is the moving point on diagonal AC, the intersection point P is PF⊥CD of point F, and PE⊥PB intersects the straight line CD at point E, let. (5 points) (2) When the point P is on the line segment AO, find the functional relationship between Y and X and the value range of the independent variable X; (3 points) (3) Can ⊿ PEC be an isosceles triangle during the movement of point P? If possible, please write the length of PA directly; If not, please briefly explain. (2 points) In the 2008 school year, Fengxian District investigated and tested the eighth grade mathematics test paper. 1. Multiple choice questions (3 points for each question, *** 18 points)1.a; 2.d; 3.c; 4.b; 5.a; 6.b.2 Fill in the blanks (2 points for each question, ***24 points) 7. (2,0); 8 . y = 2x-2; 9.x 1=0,x2=3,x3 =-3; 10. (The answer is not unique); 1 1 . y2-5y+2 = 0; 12.360 ; 13.0.3; 14.40 ; 15.8 ; 16. Rectangular; 17.; 18. 13. III. Short answer questions (19~22, 6 points per question, 23~25, 8 points per question, 26 questions 10, * * 58 points) 19. From (2): (3) ........................... (1min) to (1): ................................ (2 points) ∴ x = 1 ........................................................................................................................ roucaizao 1 zao2 caizao 1 Jujube 2 Rouzao 1 Rouzao 1 Rouzao 2 Rouzao1... ............................................ (1) p (a) =1 .......................................................................... (2) 2 1.(3 points) and then: or ................. (2 points+1 point) 22. (1) 20 ..............(2 points); ② Less (2 points); (3) B......................................................( 1) ............................................................................................................................................( / kloc-0/) x 1=200, X2=- 160 ............................................................................................. gives up ∴ x 1 The midpoint ∴DE of = 200 .......................................................................... (65438) AC is the midline of △ABC (definition of triangle midline) ∴DE//AB, DE=AB (the nature of the center line of a triangle) ....................................................................................................................................................... .......... ∫ BC = 2bd ∴ AB = BD ................................................... (1) ∴ quadrilateral ABDF is rhombic and ............. is equal). ∫ DE = AB ∴ EF = AF ...................... (1) ∫ G is the midpoint of AF ∴ GF = EF ............ is in the DAE. ∵∴△ FGD△ DAE .............................. (1) ∴ GD = AE ÷ AC = 2ec = 2ae ∴ AC = and connected to ED ...................... (1) ∫ E is the midpoint of OC, ∴DE is the center line of trapezoid 0ABC ∴DE//0A, That is, ∠ DEA = ∠ EAO .................................................... ED is the median line of the side AB ∴ ed = AD = AB ∴∠ DEA = ∠ DAE...( 1 min) ∴∠∠ EAO = ∠. That is, AE is equally divided into ∣∣∣∣) ........... and BC//x axis ∴ b (4, 12) ..............................................................................................................................................0) .................. (1 min) sets the analytical formula of straight line AB as y=kx+b, ............................................. (1 min) ∴ The analytical formula of straight ABCD is that .................................................................................................. is a right angle) ∵ PF ⊥ CD ∴∠ DFG = 90 ∴ Quadrilateral AGFD is a rectangle (a quadrilateral with three right angles is a rectangle) ... (1 min) ∴ DF=AG, ∠ AGF = 90 ∵. BG = PF..........................∠gp b+∠GBP = 90∴∠gpb =∠fpe∴rt△GBP≌rt△fpe………………………∵AP=x,∴ AG=GP=,DF=EF=, That is, DE = ∴ CE = 4- ................................................................................................................
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