1. If ∠ A = 23 34', ∠ B = 7145', ∠ A+∠A+∠B = _ _ _ _'.
2._ _ _ _ _ _ is the shortest line segment connected by points outside the line and points on the line.
3. As shown in figure 1, in a cuboid, the plane is perpendicular to the edge AD.
There are _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
4. As shown in Figure 2, when ∞ _ _ = ∞ _ _ _,
200 BC
5. As shown in Figure 3, AB‖CD, ∠2 is greater than ∠ 1.
2 times larger than 6, then ∠ 2 = _ _ _ _.
6. The proposition of "equal vertex angles" is: _ _ _ _ _ _ _ _ _ _ _,
The conclusion is _ _ _ _ _ _ _ _ _ _.
7. When x _ _ _ _ _ _ _ _ _ the algebraic expression 1-3x is nonnegative.
8.
9. Expressed in scientific notation: 0.000602 = _ _ _ _ _ _.
10.
1 1.
12. When _ _ _ _ _, (2a+ 1)0= 1.
13. calculation: (a+2) (a-2) (a2-4) = _ _ _ _ _ _ _.
14. As shown in Figure 4, D is the midpoint of AC, and AD=3.
15. If
2. Multiple choice questions: (2 points for each question, ***20 points)
16. Among the following propositions, the correct one is ().
(a) Of all the straight lines connecting two points, the straight line is the shortest.
(b) Two straight lines are cut by a third straight line and equal to the complementary angle.
(c) Two disjoint straight lines are called parallel lines.
(d) If both straight lines are perpendicular to the third straight line, the two straight lines are parallel to each other.
17. as shown in figure 5, if AB ‖ DE, ∠ B = 120, ∠ D = 25, ∠C= ().
50 (B) 80 (C) 85 (D) 95
18. When two parallel lines are cut by a third straight line, a set of bisectors at the inner corner of the same side are mutually ().
(a) vertical (b) parallel (c) coincident (d) intersecting, but not vertical.
19. As shown in Figure 6, if ∠ 1=∠2, the wrong conclusion is ().
(A)3+∠4 = 180(B)5 =∠4
(C)5 =∠7(D)6+∠7 = 180
20. given AB ‖ CD and CD ‖ ef, AB‖EF. The basis of this reasoning is ().
(a) Parallel axiom (b) Equivalent substitution (c) Internal dislocation angles are equal and two straight lines are parallel.
(d) Two lines parallel to the same line are parallel.
2 1. If ∠A and ∠B are parallel, and ∠A is 30 smaller than ∠B, then ∠B is ().
(a) 30 (b) 70 (c) 30 or 70 (d) 100.
22. In the following equation, the error is ().
(A)(A-B)2 =(B-A)2(B)(A+2b)2 = a2+4b 2
(-A-b)2 =(A+b)2(D)(A+b)2-(A-b)2 = 4ab
23. As shown in Figure 7, it is an L-shaped steel bar with a cross-sectional area of ().
(a) CT+ST (b) CT+ST-T2 (c) CT+ST-2t2 (d) are all wrong.
24. In the following operations, the correct one is ().
(A)(3a6b)2 = 6a 12 B2(B)(8a2b-6ab 2)÷2ab = 4a-3b
(C) (D)(X-2Y)(2y-x)=x2-4xy+4y2
25.if- 1 < x & lt； 0, the value of the algebraic expression x( 1+x)( 1-x).
(a) It must be positive; (b) It must be negative; (c) It must be non-negative; (d) The pros and cons are uncertain.
Three. Solution: (5 points for each question, ***35 points)
26. Calculation: (3m-2n)(2n+3m) 27. Calculation: (a-3)(a2+3a+9)
28. It is known that | 2x+y-1|+(5x-4y-8) 2 = 0. Find the value of xy.
29. Calculation: (3x2-2x+1) (3x2+2x-1)
30. Calculation: (-2xay) 2 (xa-2ya) 4 ÷ [(-xy2) 2] a
3 1. Calculation: (m-3n)2-(3n+m)2
32. If x+y = 2, xy = k+4 and (x-y) 2 = 12, find the value of k. 。
Four. (5 points) Draw the vertical line of AB through point C, and then draw the parallel line of BC through the middle point of AC.
Verb (abbreviation of verb) (5 points) is simplified first and then evaluated: (a+2b)2(a-2b)2-(2a-b)2(2a+b)2,
Where A2 = 2 and B2 = 1.
The intransitive verb (5 points) is shown in Figure 9. It is known that ∠ e = ∠ f, ∠ 1 = ∠ 2, and verified as AB ∠ CD.
Proof: ∫∠E =∠F (known)
∴___‖FB()
∴∠EAP =∞_ _ _()
∫≈ 1 =∠2 (known)
∴∠EAP+∠ 1 =∞_ _ _ _+∠2
That is, ∠BAP =∞_ _
∴AB‖CD()