First, multiple choice questions
1, and the positional relationship between the two straight lines is ()
A, intersection, vertical b, intersection, parallel c, vertical, parallel d, intersection, vertical, parallel
2, as shown in the figure, is a "seven" shape, and ∠ 1 is ().
a、2 B、3 C、4 D、5
3. Draw parallel lines of known straight line A through point A, and you can draw ().
A, 0 b, 1 c, 2 d, uncertain
4. In the plane rectangular coordinate system, the position of point P (- 1, 2) is ().
A, the first quadrant b, the second quadrant c, the third quadrant d and the fourth quadrant
5. Given that the distance from point P on the Y axis to the origin is 5, the coordinate of point P is ().
A, (5,0 0) b, (0,5) or (0,5 5) c, (0,5 5) d, (5,0) or (-5,0).
6. In the following figures, the one that correctly draws the high BD on the AC side is ().
7. As shown in the figure, ∠ 1=∠2, ∠ 3 = ∠ 4 and ∠ A = 80, then ∠BOC is equal to ().
A, 95 b, 120 c, 130 d, uncertain.
8, the following graphics, unstable is ()
Second, fill in the blanks
9. As shown in the figure, line A and line B intersect, and it is known that ∠ 1 = 38, then ∠2= degree, ∠ 3 = degree, ∠ 4 = degree.
10, as shown in the figure, it is planned to divert the river into the pool A, first divert AB⊥CD, and then ditch along AB, which can make the river channel shortest. This design is based on:
1 1, given a straight line a‖b, the distance from point M to straight line A is 4cm, and the distance from straight line B is 2cm, so the distance from straight line A to straight line B is:
12. As shown in the figure, translate the right-angled trapezoid ABCD to the right-angled trapezoid EFGH along the AD direction. It is known that HG=24cm, MG=8cm and MC=6cm, then the area of the shadow part is;
13. Point P is in the third quadrant, and the product of abscissa and ordinate is 12. Write the coordinates p of three qualified points:
、 、 ;
Third, answer questions.
14, an isosceles triangle is formed by a string with a length of 20cm.
(1) If the waist is twice as long as the bottom, what is the length of each side?
(2) Can an isosceles triangle with a side of 5cm be formed? Give reasons
15, as shown in figure 1, it is known that straight lines l 1‖l2, l3 and l 1, l2 intersect at points A and B respectively, and point P is on line AB.
(1) Try to find out the equation relationship between ∠ 1, ∠2 and ∠3, and explain the reasons;
(2) Apply the conclusion of (1) to solve the following problems.
○ 1 As shown in Figure 2, point A is 40 northeast of point B,
Point A is 45 northwest of point C. How about ∠BAC?
Mid-term examination paper of the seventh grade mathematics volume II.
First, multiple choice questions
1, and the positional relationship between the two straight lines is ()
A, intersection, vertical b, intersection, parallel c, vertical, parallel d, intersection, vertical, parallel
2, as shown in the figure, is a "seven" shape, and ∠ 1 is ().
a、2 B、3 C、4 D、5
3. Draw parallel lines of known straight line A through point A, and you can draw ().
A, 0, b, 1, c, 2, d, indefinite
4. In the plane rectangular coordinate system, the position of point P (- 1, 2) is ().
A, the first quadrant b, the second quadrant c, the third quadrant d and the fourth quadrant
5. Given that the distance from point P on the Y axis to the origin is 5, the coordinate of point P is ().
A, (5,0 0) b, (0,5) or (0,5 5) c, (0,5 5) d, (5,0) or (-5,0).
6. In the following figures, the one that correctly draws the high BD on the AC side is ().
7. As shown in the figure, ∠ 1=∠2, ∠ 3 = ∠ 4 and ∠ A = 80, then ∠BOC is equal to ().
A, 95 b, 120 c, 130 d, uncertain.
8, the following graphics, unstable is ()
Second, fill in the blanks
9. As shown in the figure, line A and line B intersect, and it is known that ∠ 1 = 38, then ∠2= degree, ∠ 3 = degree, ∠ 4 = degree.
10, as shown in the figure, it is planned to divert the river into the pool A, first divert AB⊥CD, and then ditch along AB, which can make the river channel shortest. This design is based on:
1 1, given a straight line a‖b, the distance from point M to straight line A is 4cm, and the distance from straight line B is 2cm, so the distance from straight line A to straight line B is:
12. As shown in the figure, translate the right-angled trapezoid ABCD to the right-angled trapezoid EFGH along the AD direction. It is known that HG=24cm, MG=8cm and MC=6cm, then the area of the shadow part is;
13. Point P is in the third quadrant, and the product of abscissa and ordinate is 12. Write the coordinates p of three qualified points:
、 、 ;
Third, answer questions.
14, an isosceles triangle is formed by a string with a length of 20cm.
(1) If the waist is twice as long as the bottom, what is the length of each side?
(2) Can an isosceles triangle with a side of 5cm be formed? Give reasons
15, as shown in figure 1, it is known that straight lines l 1‖l2, l3 and l 1, l2 intersect at points A and B respectively, and point P is on line AB.
(1) Try to find out the equation relationship between ∠ 1, ∠2 and ∠3, and explain the reasons;
(2) Apply the conclusion of (1) to solve the following problems.
○ 1 As shown in Figure 2, point A is 40 northeast of point B,
Point A is 45 northwest of point C. How about ∠BAC?