1.( 1) Name:
I. Fill in the blanks:
1, a ray has only 1 endpoints.
2. There are 3 lines and 6 rays in the picture.
3. There is a point C on the line segment AB, where m is the midpoint of AB and n is the midpoint of AC. If AB= 16 and AC= 10, the distance between m and n is 3.
4. The relationship between ∠ 1 and complementary angles ∠2, ∠1∠3, ∠2 and ∠3 is ∠ 2+90 = ∠ 3.
5. Given the line segment AB= 10cm, draw the line segment BC on the straight line AB so that BC=4cm, and the length of the line segment AC is 6cm.
6. As shown in the figure, ∠AOB is a right angle, ∠COD is a right angle, OE is the bisector of ∠BOC, ∠ EOD = 15, then ∠ AOC = 60.
7. It is known that ∠AOB and ∠COD are right angles and ∠ 1 = 25, then
∠2=25 。
8. If an angle is three times its complementary angle, then the complementary angle of this angle is 157.5.
9、35 12′-34 48′+60 30′=60 54′。
10, time 1 and 15, the angle formed by the hour hand and the minute hand of the clock is 60.
Second, multiple-choice questions:
1, the following statement is correct (d)
(a) The complementary angle of an angle must be greater than itself.
(b) The complementary angle of an angle must be smaller than itself.
(c) The difference between obtuse angle minus acute angle must be acute angle.
(d) The complementary angles of the same angle are equal.
2. As shown in the figure, * * has a segment (D).
5 (B)7 (C)8 (D) 9
3. Given the line segment AB, extend AB to C so that BC=AB/3 and D is the midpoint of AC. If DC=2 cm, the length of AC is (a).
(a) 4cm (b) 3cm (c) 2cm (D) 1 cm.
4. If an angle is more than 2/7 of the other angles, the angle is ().
35 (B)53 (C)74 (D) 65
5. There are three straight lines intersecting on the plane. If there are at most m intersections and at least n intersections, then m+n is (d).
1 (B)2 (C)3 (D)4
6, as shown in the figure, the following statement is incorrect (b)
(a) The direction of A)OA is northwest.
(b) The B)OB direction is 35 degrees west of south.
(c) The C)OC direction is 60 degrees east of south.
The OD direction is 20 degrees east of north.
Third, answer questions:
1, known line segments a and b (a >; B), draw a line segment ab = 2a-b.
2、( 1)82 -57 14′22〃 (2) 13 39′5〃+6 1 48′59〃
Answer: = 24 45' 38 "
The difference between the complementary angle of an angle and its double complementary angle is 0/5 of 65438+ right angle. Find the degree of this angle.
Solution: let this angle be x.
180-X-2(90-X)= 180 * 1/5
3X=36
X= 12
4. As shown in the figure, ∠AOB=∠BOC/2, ∠COD=∠AOD=3∠AOB is known. Find the degree of ∠AOB and ∠COD.
Solution: From the meaning of the problem.
∠∠AOB:∠BOC:∠COD:∠AOD = 1:2:3:3
∴∠AOB= 180* 1/9=40
∠COD= 180*3/9= 120
I made all these myself, and there are many more. You can come to me if you like.