Seventh grade math unit test questions
Axisymmetry and rotation
First, multiple-choice questions (30 points)
1. Observe the following patterns folded with paper, where the number of axisymmetric patterns is ().
A. 1; b . 2； c . 3； d . 4；
2. As shown in the figure, in the grid paper, △ABC is transformed to get △DEF.
The correct conversion is ()
A. rotate △ABC 90 counterclockwise around point C? , and then translate down 2 squares;
B. Rotate △ABC 90 clockwise around point C? , and then translate down 5 squares;
C translate △ABC down by 4 squares, and then rotate counterclockwise around point C 180? ;
D Translate △ABC down 5 squares, and then rotate it clockwise around point C 180? ;
3, the following graphics, can't have graphics m after translation or rotation is ().
4, a graphic after translation transformation, or rotation transformation, the following statement is correct ().
① The corresponding line segments are parallel; ② The corresponding line segments are equal; ③ The shape and size of the graph have not changed;
④ The corresponding angles are equal;
A.①②③; B. ②③④C. ①②④D. ①③④
5. As shown in the figure, △ABC and △BDE are equilateral triangles, with points A, B and D on a straight line, and AB=BD, and one triangle is transformed into another ().
A. it can only be obtained through translation; B. it can only be reached by rotation;
C. it can be obtained by translation and rotation; D. It can neither be obtained by translation nor by rotation;
6. As shown in the figure, the circumference of △ABC is 30cm. Fold the side AC of △ABC in half so that the vertex C coincides with the point A.. The crease passes through BC side at point D and AC side at point E, connecting AD. If AE=4cm, the circumference of △ABD is ().
A.22cmB. 20cmc . 18cm； d . 15cm；
7. As shown in the figure, △ABC and △A? b？ c？ On the symmetry of straight line l, and? A=78？ ,? c？ =48? ,
then what The degree of B is ()
A.48? ; B. 54？ ; C. 74？ ; D. 78？ ;
8. As shown in the figure, △ABC with an area of 12cm2 translates in the direction of BC.
To the position of △DEF, the translation distance is twice that of BC.
Then the area of the quadrangle in the figure is ()
A.24cm2B. 36cm2
C.48cm2d Uncertainty;
9. Among the following four patterns, they can rotate at a certain angle around the center and overlap with the original pattern, one of which is different from the other three patterns in rotation angle ().
10, as shown in the figure, in the square ABCD, e is the point on the DC side.
Connect BE and rotate △BCE 90 clockwise around point C? get
To △DCF, then EF, if? BEC=60？ ,
then what The degree of EFD is ()
A. 15? ; B. 20？ ; C. 25？ ; D. 30？ ;
Two. Fill in the blanks (24 points)
1 1, an equilateral triangle has an axis of symmetry.
12, as shown in the figure, p is a point within equilateral △ABC,
If △PAB rotates counterclockwise around point A to △P? Alternating current
then what PAP？ The degree is.
13. There are many words in these 26 capitalized English letters.
Mother is an axisymmetric figure, and the characters in it are axisymmetric figures.
Female (not less than 5).
14. In the figure below, the one that is both axisymmetric and centrally symmetric is (fill in the serial number).
① Angle, ② line segment, ③ equilateral triangle, ④ circle, ⑤ parallelogram, ⑤ rectangle;
15, as shown in the figure, ABCD, AD∑BC in quadrilateral,
BC & gtAD，？ B what else? C is complementary, AB and CD are separate.
Do not pan to the positions of EF and EG, and then △EFG.
It is a triangle; If AD = 3 cm and BC = 8 cm,
So FG=
16. In the coordinate plane, point A and point B are symmetrical about x,
If the distance from point A to the X axis is 3cm, the distance from point B to the X axis is 0.
17, carefully observe the pattern below, and fill in the appropriate graphics on the horizontal line according to the law.
18, observe the following figure, and their * * * features are.
Iii. Answering questions (46 points)
19, (10) As shown in the figure, the equilateral △ABC rotates counterclockwise around point B to get △DBE, and? ABD=30？ , according to the figure to answer:
The corresponding point of (1)C is.
(2) The line segment corresponding to line segment AB is.
(3)? The corresponding angle of ABC is.
(4) The rotation angle of △ ABC is.
(5) The center of rotation is.
20.( 12 points) in △ABC,? B= 10？ ,? ACB=20？ , AB=4cm, and △ABC rotates counterclockwise by a certain angle to coincide with △ADE, and point C is just the midpoint of AD (as shown in the figure).
(1) Point out the rotation center and find the rotation angle.
(2) Q? The degree of BAE and the length of AE.
2 1, (12 points) As shown in the figure, what is point P? A little inside AOB,
(1) Let point P be the symmetrical points P 1 and P2 about OA and OB, respectively;
(2) Connect P 1P2, which spans OA in m and OB in n. If P 1P2= 10cm,
Try to find the circumference of △PMN.
22, (12 points) as shown in the figure, known AO=CO, AB=BC, straight line a? B, symmetrical drawing:
(1) Draw the symmetrical figures of AOCB about line A and line B respectively.
(2) The star map obtained by (1) has an axis of symmetry.
(3) Cut out this star map with scissors, and the square pieces of paper need to be diagonally folded in half.
Reference answer to the seventh grade math unit test questions
1. 1，c； 2、B； 3、C； 4、B； 5、C；
6、A； 7、B； 8、B； 9、B； 10、A；
Second, 1 1, 3; 12、60? ; 13、A、B、C、D、E、H、I、M、O、T、U、V、W、X、Y； 14、②,③,④,⑥; 15, right angle, 5cm 16, 3cm 17, symmetrical figure of letter e; 18, all of which are axisymmetric figures;
Third, 19, (1) e; (2)BD； (3)? DBE(4)30? ; (5)B；
20.( 1) The rotation center is point A; What is the rotation angle? CAB= 150？ ;
(2)? BAE=60？ ; AE = 2cm
2 1 and (1) are drawn as shown.
(2) As shown in the figure, PM=P 1M, PN=P2N,
△ perimeter of △PMN =PM+PN+MN
= P 1M+MN+ P2N= P 1 P2, so the perimeter of △PMN is10cm;
22. Sketch of (1);
(2)4; (3)2;
Seventh grade math unit test questions and answers related articles;
1. Test questions and answers of Unit 1 in the first volume of junior high school mathematics.
2. Selected questions of the first unit of the seventh grade mathematics.
3. The seventh grade mathematics corner courseware test questions
4. The seventh grade math 1. 1 synchronous exercises.
5. The rational number test in chapter 1 of the first volume of seventh grade mathematics.