The seventh grade mathematics next term final examination questions.
First, multiple choice questions
1, among the following graphs, some are not necessarily axisymmetric graphs.
A. isosceles triangle B. right triangle C. line segment D. right angle
2. Throw a coin with uniform texture 50 times. After the coin landed, it appeared face-up 20 times, so the frequency of face-up was
A.B. C. D。
An opaque box contains two red balls and 1 white balls, all of which are the same except the colors. If a ball is randomly drawn, the following statement is correct.
A. Touching the red ball is an inevitable event B. Touching the white ball is an impossible event.
C. touching the red ball is equal to touching the white ball. D. it is easier to touch the red ball than the white ball.
4, if the value is:
A.6 B.9 C. D
5. The incorrect figures in the following calculation are
①②③
④⑤
A.4 B.3 C.2 D. 1
6. As shown in the figure, in the middle, the point is on the extension line, and the point is in.
None of the above is true.
7. In "and", the supplementary conditions may not be guaranteed, but the supplementary conditions are as follows.
A.B. C. D。
8. After the spring is hung on the object, it will stretch within the allowable hanging weight range. According to the measurement, the length of the spring has the following relationship with the weight of the suspended object:
The following statement is incorrect.
A..x and y are variables, x is an independent variable and y is a dependent variable.
B. When the weight is not hung, the length of the spring is 0cm.
C. every time the mass of the object increases by 1 kg, the spring length y increases by 0.5 cm.
D when the mass of the suspended object is 7kg, the length of the spring is 13.5cm.
9. The bisector of two acute angles of a right triangle is the degree of obtuse angle.
A. 100 degree B. 120 degree C. 135 degree D. 140 degree.
10, as shown in figure, in, is the last point,,, then in the following statement, 123.
(4), the number of correct statements are
A.4 B.3 C.2 D. 1
As shown in the figure, 1 1 is the bisector.
At point e, cross at point.
, so the dragon is
A.4 B.3C.6 D.5
12, as shown in the figure, in △ABC, AB=AC, ∠BAC = 54, and the bisector of ∠BAC intersects with the perpendicular line OD of AB at point O, along EF ∠ C.
E is on BC, F is on AC, and point C is the sum.
If these two points coincide, then ∠OEC degree is _ _ _ _ _ _ _.
105 c . 120d . 108
Second, fill in the blanks. 15 point
13, scientists found that the length of a virus is, calculated by scientific notation, and the number is _ _ _ _.
14. If the complementary angle of an angle is 150 degrees, then the complementary angle of this angle is _ _ _ _.
15, if the small ants are shown in the figure.
Crawling on 3×3 square tiles,
The probability of finally stopping in black brick is _ _ _ _ _.
16, rectangular area is, and one side is long, then
The perimeter is equal to _ _ _ _.
17 if the value is _ _ _ _.
Iii. Answer to the question 6 1 min
18, drawing 8 points. Always drawing traces, not writing.
(1) known, with a ruler.
② The known ruler is a point: the distance from the point to both sides is equal, and
19, calculation: ① ② 4 points each, ③6 points, *** 14 points.
①
②
(3) Simplify first, then evaluate, among which
As shown in figure 20, 7 points, congruence? Really? Please provide a justification for the answer.
2 1, 7 points have a set of mutually unequal triangles, their side lengths are integers, and each triangle has two side lengths of 5 and 7 respectively.
1 Please write the length of the third side of a triangle;
② A group has at most n triangles, and the value of n is found;
When the number of triangles in this group is the largest, take any one of them and find the probability that the perimeter of the triangle is even.
22 and 8 o'clock are known as shown in the figure, DE⊥AC, ∠AGF=∠ABC, ∠ 1+∠ 2 = 180. Try to judge the positional relationship between BF and AC, and explain the reasons.
At 2300 hours, a fruit merchant sold several kilograms of watermelons in the wholesale market at a price of per kilogram 1.8 yuan. He brought some small change for convenience. He sold some at the market price first, and then sold it at a reduced price. The relationship between the kilograms of watermelon sold and the amount of money he holds, including change, is shown in the figure. Answer the following questions with pictures:
How many changes have farmers brought?
What was the price of his watermelon per kilogram before the price reduction?
Then he sold the remaining watermelons at the price of 0.5 yuan per kilogram. At this point, the money in his hand, including spare money, is 450 yuan. He asked him how many Jin of watermelons he had wholesale.
How much did the fruit merchant earn?
24. The point 10 is shown in the figure. It is known that in △ABC, AB=AC= 10 cm, BC=8 cm, and point D is the midpoint of AB.
1 If point P moves from point B to point C at a speed of 3cm/s on BC line segment and point Q moves from point C to point A on CA line segment.
① If the moving speed of point Q is equal to that of point P, whether △BPD and △CQP are the same after 1 s, please explain the reason;
② If the moving speed of point Q is not equal to that of point P, when the moving speed of point Q is what, can △BPD and △CQP be congruent?
2 If point Q starts from point C at the speed of ② and point P starts from point B at the same time at the original speed, and both move counterclockwise along the triangle of △ABC, how long will it take for point P and point Q to meet for the first time on which side of △ABC?
The seventh grade mathematics final examination paper reference answer.
A, multiple-choice questions each small 2 points, ***24 points.
1.B 2。 C 3。 D 4。 C 5。 A six. D 7。 An eight. B 9。 C 10。 A 1 1。 B 12。 C
2. Fill in the blanks with 3 points each, *** 15 points.
13. 14.60 15. 16. 17.27
Iii. Answer to the question 6 1 min
2 1. Solution 1 Let the third side of the triangle be
The two sides of each triangle are 5 and 7 respectively.
∴ <& lt
∴ <& lt
The third side of a triangle can be 10, which can be an integer.
................................, 3 points.
2∶lt； & lt Their side lengths are integers.
∴ 3,4,5,6,7,8,9, 10, 1 1
∴: There are at most 9 triangles in this group, and .............................. scores 5 points.
When 3∶4, 6, 8, 10, the perimeter of the triangle is even.
The probability that the circumference of a triangle is even is 7 points.
.................................................., 8 points.
23. Solution: 1 The change brought by farmers is 50 yuan ....................... 1.
Before the price reduction, his price per catty of watermelon was 30 cents.
3 after the price reduction in 0.5 yuan, 3 yuan will sell for RMB * * *.
Watermelon is sold for 40㎏ after the price is reduced.
∴ He * * * Wholesale120 Watermelon .......................................... 5 points.
4. The fruit merchant earned 1 yuan * * * ........................... 7 points.
Meet at the edge for the first time after the second point and the second point. ..........................................................................................................................................................
Seventh grade mathematics next term final examination paper.