1. Fill in the blanks 1. The sum of the complementary angle of an angle and its complementary angle is 150 degrees, and this angle is _ _ _ _ _ _ _ _ _ _ _. A O B 2, as shown in the figure: point O is a point on straight line AB, ∠AOE=∠FOD=90? 0? 2, OB bisector ∠COD, then there are _ _ _ _ _ _ _ _ complementary angles with ∠DOE. As shown in the figure: A, O and B are on a straight line, ∠AOC= ∠BOC+30? 0? 2. If OE shares ∠BOC, ∠ BOE = _ _ _ _ _ _ _ 4, as shown in the figure: ∠ 1=∠2, if ∠3=30? 0? 2. In order for the black ball to directly hit the bag after the white ball bounces, it must be guaranteed that ∠1= _ _ _ _ _ _ _ _ _ _ _. 5. According to the soil, complete the reasoning process: from ∠ 1=∠2, get _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _; From ∠3=∠4, get _ _ _ _ _ _ _ _ _ _, according to _ _ _ _ _ _ _ _ _ _ _ _; From ∠5=∠6, get _ _ _ _ _ _ _ _ _ _ _, according to _ _ _ _ _ _ _ _ _ _ _; From ∠7=∠8, get _ _ _ _ _ _ _ _ _ _ _, according to _ _ _ _ _ _ _ _ _ _ _;

6. As shown in the figure, ∠ 1 and ∠2 are _ _ _ _ _, ∠2 and ∠3 are _ _ _ _ _ _ _, ∠ 1 and ∞. 7. If the two sides of ∠A and ∠B are parallel, the relationship between ∠A and ∠B is _ _ _ _ _ _ _ _ _ _ _. 8. As shown: ∠AED=∠C, ∠ 1=25? 0? 2,∠2=30? 0? 2, then ∠ BDE = _ _ _ _ _ _ _ _ _ 9. As shown in the figure, the condition for judging the straight line A∨B is _ _ _ _ _ _ _ _ _ _ D E.

Second, solve the problem B C 1. As shown in the figure, straight lines AB and EF intersect at point O, OC and OD are rays, ∠DOE=∠EOB, ∠AOC:∠COD= 1:2, ∠BOD-∞. 0? 2. Find the degree of ∠AOE. D E C A O B F2, known as ∠B=25? 0? 2，∠BEF=45？ 0? 2，∠EFC=30？ 0? 2，∠C= 10？ 0? 2. Try to explain the reasons for AB∨CD. British Broadcasting Corporation

F C D

3. as shown in the figure: AB∨CD, CE∨FH, and ∠BAF= 100? 0? 2，∠AFH = 1 10？ 0? 2. Find the degree of ∠ECD. B D E H

A C F4, as shown in the figure: ∠ 1=∠C, ∠2=∠3, then can AD divide ∠BAC equally? A

E

B C D5, as shown in the figure: AB∨CD, ∠EAF= ∠BAE, ∠ECF= ∠ECD, ∠AEC and ∠AFC are represented by an equation. A rectangular frame is surrounded by 144 decimeter long barbed wire. An ant starts from vertex A, crawls along the edge, and reaches D through vertices B and C. An ant crawls 6 decimeters per minute, which takes more time 1 minute than AB through BC, and 2 minutes less than BC through CD. What are the length, width and height of this rectangular frame?

7. As shown in the figure: AB∨CD∨EF, ∠ABE=80? 0? 2，∠EDC= 10？ 0? 2, EG bisects ∠BED, and finds the degree of ∠CEF. A b

C E F C D8, as shown in the figure: p is any point in the triangle ABC, which is proved as: pa+Pb+PC.

P

B C logical reasoning: 1, the British live in a red house; 2. Swedes keep dogs; 3. Danes drink tea; 4. The green house is on the left of the white house; 5. The owner of the green house drinks coffee; 6. People who smoke PM keep birds; 7. The owner of the yellow house smokes D brand cigarettes; 8. People who live in the middle house drink milk; 9. Norwegians live in the first room; 10, the person who smokes B brand cigarettes lives next door to the cat owner; 1 1. Horse owners live next door to people who smoke D cigarettes; 12, people who smoke BM drink beer; 13, Germans smoke p cigarettes; 14, Norwegians live next door to the blue house; 15. People who smoke B have a neighbor who drinks water. Who raises fish?

1. Multiple choice questions (4 points for each small question, 24 points for * * *) 1. Among the following four numbers, the numbers ∠ 1 and ∠2 are () a.0b.1c.2d.32. A car is on the straight road. Still moving in parallel in the original direction, the angles of the two turns are () a. First turn right 50, second turn left130 b. First turn left 50, second turn right 50. C. Turn left 50 for the first time and turn left for the second time 130. D. Turn right 50 for the first time and 50 for the second time. 3. If four straight lines in the same plane satisfy a⊥b, b⊥c and c⊥d, then the following formula holds: () a. a∨bb. b⊥d. c. a⊥d. b∨C4. The relationship between m and n is () a.m = nb.m > n c.m < n d.m+n =105. As shown in the figure, if m∨n, ∠ 1 = 105, ∠ 2 = () a.55b.60c.65d.756. The following statement is correct: () A. There is only one straight line perpendicular to the known straight line. A vertical line starting from a point outside a straight line is called the distance from that point to this straight line. C. Two perpendicular straight lines must intersect. D among all the line segments formed by connecting a point outside the straight line c with a point on the straight line c, the length of the shortest line segment is 3cm, so the distance from point a to the straight line c is 3cm. 2. Fill in the blanks (4 points for each small question, ***20 points) 7. If two sides of two angles are parallel to each other and one angle is equal to the other, the degrees of the two angles are respectively. 8. Riddle (type two geometric names in this chapter). There are ten cents left; Two cows are fighting. 9. The following movements of objects in life can be regarded as translation. (1) Swing. (2) Cars driving on straight roads. (3) Flags fluttering in the wind. (4) Shake the rope. (5) Movement of windshield wipers. (6) A ball falling freely from the roof (the ball does not rotate). 10. As shown in the figure, straight lines AB and CD intersect at point O, and OE⊥AB and O are vertical feet. If ∠ EOD = 38, ∠AOC =, ∠COB =. (No.10) (No.11)1. As shown in the figure, AC bisects ∠DAB, ∠ 1 =∠2. Fill in the blank: Because AC shares ∠DAB, ∠ 1 =. So∠2 = So AB∨。 Third, do (this question 10) 12. Given the triangle ABC and point D, calculate (this question 10) 13 by doing the fourth figure after triangle ABC translation through point D. As shown in the figure, AD is the bisector of ∠EAC, and AD∨BC, ∠ B = 30. You can calculate ∠EAD, ∠DAC and ∠. Five, think about it (3 points per grid, * * 12 points) 14. As shown in the figure, EF∨AD, ∠ 1 =∠2, ∠ BAC = 70. The process of seeking ∠AGD is completely filled in. Because EF∨AD, ∠2 = Because ∠ 1 = ∠2, ∠ 1 = ∠3. So AB∨. So ∠ BAC+= 180. And because ∠ BAC = 70, ∠AGD =. VI. Practical application: (This big topic is two small topics, ***24 points) 15. According to the actual situation of the class, draw a simple plan of the class and find out the vertical and parallel lines. (subject 1 1) 16. As shown in the figure, there are two walls, and it is necessary to measure the degree of ∠AOB formed on the ground, but people can't enter the fence and can only stand outside the wall. How to measure (using the knowledge in this chapter)? (This question is 13)