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28. If a straight line and two straight lines intersect the same as the Tongwei Jiao, or the same side interior angles equal to two right angles, then the two straight lines parallel to each other.
3. [Mathematics] a proposition


1, the two propositions, a proposition if the conditions and conclusions are the conclusions and other conditions of a proposition, then the interaction of these two propositions is called converse, in which a proposition is called the original proposition, another proposition called the inverse of the original proposition proposition.
8. If the two sides a triangle is equal to the other side, respectively, and a bottom is equal to the other end, then the other side caught in the middle of the corner are equal.
12. From known outside a known point of infinite straight line as the vertical line.






2. From a known point (as the endpoint) as first-line segment is equal to a known segment.
14. If you have any of the points with two straight lines are not the same side of the line and into the adjacent angles and straight lines are equal to two right angles, then these two lines along the same line.


13. A straight line and another submitted by a straight line into the adjacent angles, or two right angles or right angles and are equal to two.



genuine true

43. In any parallelogram, the diagonal sides of the parallelogram-shaped complement each other are equal.


16. In any triangle, if the extension side, the exterior angle is greater than any one of the diagonal.
41. If a parallelogram and a triangle with only the bottom and two parallel lines in between, the parallelogram is twice the triangle.
40. Other end of the ipsilateral and in the end of the triangle are equal between the same two parallel lines.
1, with the connective proposition, denoted by p ∩ q, read
15. If the two lines intersect, they cross into the vertical angles are equal.

six simple logic connectives
24. If the two triangles, one of the two sides were equal with the other two edges, and an angle greater than another angle, the angle of the right big side as well.


39. At the same end and in the end on the same side of the triangle will be equal to the same between two parallel lines.


false true
2,chocolate ugg boots QQ聊天, on M, any x, with p (x) the establishment of, denoted by
true and false
3, the two propositions, a proposition if the conditions and conclusions are the conclusions of another proposition the negation of negation and conditions, then these two propositions is called the inverse of each other whether the proposition, a proposition which called the original proposition, another proposition called the inverse of the original proposition of whether the proposition.
26. If the two triangles, one of the two angles are equal to the other two corners, and is equal to the other side of the side. Which is isometric the folder or the side edge on the opposite side, or isometric. Then their other side is also equal to the other side, and the other corner is also equal to the other corner.
1 For a proposition p if its conclusions only negative to get a new proposition, denoted ┐ p, read as
35. At the same end, and the same on the two parallel lines are equal to each other between the parallelogram.
27. If a straight line and two lines into the wrong corner of the intersection are equal to each other,women jeans 用格言生涯, then these two straight lines parallel to each other.
1,tory burch reva clutch black, p is a sufficient condition for q, q is a necessary condition for p.
(3) non
true or false
false true and false

one proposition


46. In the known segment to make a square.
nine,


one proposition




two of the four propositions

5. In the isosceles triangle, the two bottom corners are equal to each other; and,puma complete, if extended by two waist down, in the end the following corners are equal to each other.


six simple logic connectives
30. Some of the same straight line parallel to a straight line, they are parallel to each other.
38. On the other end and the same triangles between two parallel lines are equal to each other.


p ┐ p
44. With a known angle straight line and known as a parallelogram, it is equal to the known triangle.

6. If in a triangle, there are corners equal to one another on the sides of the equiangular equal to each other.
36. On the other end of the same two parallel lines and between the parallelogram is equal to each other.



34. Parallelogram face in film, on the same side, diagonal are equal and diagonal bisection of its facets.

20. In any triangle, any two sides is greater than the third side.

2, contains a quantifier for the special called proposition p:

seven universal quantifier and existential quantifier
nine, / p>
1. in a given finite straight line for an equilateral triangle.

4. If two triangles have two sides are equal on both sides, and these segments are equal to the angle equal to the folder, then they are equal to the bottom edge of the bottom edge of the triangle is equal to the whole triangle, and the rest of the angle is equal to the rest of the horn, that is, that other side of the right angle.
(2) or

10. Bisection known finite straight line.


29. A straight line intersecting two parallel lines, then into the wrong corner of the same, Tong Weijiao equal and the same side interior angles equal to two right angles.



p q p ∪ q
five necessary and sufficient condition
1, with the connective up as a new proposition, denoted by p ∪ q, read

7. In line with the known (from its two end points) made two line segments intersect at one point, it can not be in the line (from its two endpoints) to intersect at the same side Another point of the other two segments, making the two segments were equal to the previous two segments. That each intersection point to the same end of the line are equal.



37. At the end of the same and the same triangles between two parallel lines are equal to each other.


45. With a known angle to make a straight line to make it equal to the known linear parallelogram shape.
Fourth, sufficient conditions and necessary conditions
five necessary and sufficient condition


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22. Trial by the three segments, respectively, the three equal segments known as a triangle: the three known in this segment, the sum of any two line segments must be greater than another one.

Second, the four propositions
Barbara true

2,
2. [Logic] a thesis
19. In any triangle, the Horn of large side.


4, M in at least one x, so p (x) the establishment of, denoted by
11. By a known straight line straight line of a known point and known as a straight line at right angles.

1, in general, in mathematics we use language, symbols, or formulas expression, called a declarative sentence can be judged true and false propositions. One judge called a true proposition is true statement to determine the false statement is called a false proposition.

42. With a straight angle is known as a parallelogram, it is equal to the known triangle.



eight propositions containing a quantifier negation
3. Known to the two unequal segments, the upper intercept test by a large line segment is equal to another one to make it.


false Barbara
2, conditions.

25. If the two triangles, one of the two sides are equal to the other two edges, then the third side of the corner of the large as well.
18. In any triangle, the large side of Big Horn.
(1) and

2, the true and false propositions p ∩ q Judgement:

1, proposition is called the universal proposition.
32. In any triangle, if the extension side, the exterior angle equal to the diagonal and, and triangular and the three angles equal to two right angles.
17. In any triangle, any less than the sum of two right-angle corners.
2, the true and false propositions ┐ p Judgement:


three or four propositions relationship




1, for the proposition that contains the full name of a quantifier p: :
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Third, the relationship between the four propositions


2, four kinds of relations between the true and false propositions: (1) whether the two propositions are mutually inverse proposition,mbt chapa gtx rock, they have the same genuine nature. (2) Two statements are mutually inverse proposition or whether each proposition, there is no relationship between their true and false.

47. In a right triangle, right angle on the edge of the square is equal on both sides of the folder on the square and rectangular.





2, the true and false propositions p ∪ q Judgement:
Fourth, sufficient conditions and necessary conditions
1, 祖国万死 传当局彻查河南日报严重政治错误(组图), the relationship between the four kinds of propositions: the original proposition and the converse proposition mutually inverse, converse with each other against the proposition has not, the reverse has mutually inverse proposition or proposition,north face evolution, whether the original proposition and the proposition each other not, whether the proposition and against the proposition of whether the inverse of each other, converse with each other or against any proposition.
eight, with a Quantifier Proposition negative

Barbara really
2, the two propositions, a proposition if the conditions and conclusions are the other conditions of a proposition the negation of negation and conclusions, then these two propositions has called each proposition, a proposition which is called the original propositions, another proposition called the original proposition of whether the proposition.
3,
33. In the same direction (respectively) equal and parallel to the line connection (the end), they themselves also equal and parallel.
pqp ∩ q


21. If one side of the triangle for the intersection of the two endpoints of two line segments in a triangle from the intersection of the two end points of the triangle is less than the rest of the line segment on both sides and. However, the angle is greater than the triangle vertices.



If both p => q, there are q => p, to write as p q,puma futsala iv, and that p is necessary and sufficient conditions for q (or q is necessary and sufficient condition of p), referred to as the necessary and sufficient conditions.
23. In a straight line and above it is known that for a straight angle is equal to the known straight angle.

48. If in a triangle, the side of the square is equal on both sides of the triangle on the square and the other is caught in the corner after a right angle between both sides



9. Bisection of a straight angle are known.

31. Over a known point for a straight line parallel to the known line.

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seven, universal quantifier and existential quantifier

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