1。 The same angle or equal angle of angle
2。 After a point, there is only one straight line perpendicular to a straight line.
3。 There is only one straight line after two points.
4。 The shortest segment between two points
5， The same angle or equal angle supplement angle is equal
6。 In all line segments connected to each point on the line，Minimum vertical line segment
7。 Parallel axiom：Pass a point outside the straight line，There is only one line parallel to this line.
8。 If the two lines are parallel to the third line，These two lines are also parallel to each other
Junior high school：angle
9。 Congratic corner and other two lines
10。 Interior interlaced angle，Two lines parallel
11。 Complement with the side of the side，Two lines parallel
12 Two straight lines are parallel
13 Two straight lines are parallel internal interlaced angles, etc.
14。 Two straight lines are parallel to the side angle complementary
Junior high school：triangle
15 theorem：Two sides of a triangle are greater than the third side
16。 inference：The difference between the triangular sides is smaller than the third side
17。 Triangular inner corners and theorem：One triangle three inner corners and equal180°
18year old inference1：The two acute angles of the right angle are complementary
19 inference2：The outer angle of the triangle is equal to the two inner corners of the non-adjacent.
20 inference3：The triangular outer angle is greater than any inner angle that is not adjacent to it.
21 The corresponding side of the whole triangle and the corresponding angle are equal
22 Side and angle：Two triangles with two sides and their corresponding angles
23。 Corner and corner：Two triangles with two angles and their corresponding edges。
24 inference：Two triangles with two angles，And the opposite side of one of the corners corresponds to two equal triangles。
25year old Row：Two triangles，Three edges, etc.
26 Object and right angle：The two right triangles having a slope and straight angle
27。 theorem1：From the point of the point of one angle to the distance from the sides of the corner, etc.
28。 theorem2：Points to the same distance between the corner，About this angle
29。 The horned line is a collection of all points equal to both sides of the corner
Junior high school：Waist triangle
30year old The attribute theorem of the equal waist triangle：Two bottom corners of the equal waist triangle, etc.
31。 inference1：The split line of the equal waist triangle is divided into the bottom line and is perpendicular to the bottom line.
32。 Waist triangle top angle line， The midline and height of the bottom line are coincident
33。 inference3：Equal triangle angle equal to each angle is equal to60°
34。 The determination theorem of equal waist triangle：If a triangle has two equal angles，Then face the side of the two corners, etc.（Isometric equal）
35year old inference1：Triangle with three equal angles is equilateral triangle
36。 inference2：The angle of the equal waist triangle is equal to60°Isometric triangle
37。 In the right angle triangle, if sharp is equal to30° Then it faces the right side of the opposite side
38。 The midline of the angled triangle is equal to half of the oblique edge
39。 theorem：The distance between the vertical two-equivalent line of the line segment is equal to the distance between the two endpoints of the line segment.
40 Anther：Distance of the two endpoints of the distance，On this line of vertical split line
41。 The vertical flat division of the line segment can be considered a collection of all points of the same distance from both ends of the line segment.
42。 theorem1：Two graphics about a certain line symmetrical are consistent
43。 theorem2：If two graphics are symmetrical about a line，Then the symmetry is the vertical line of the corresponding point line.
44。 theorem3：Two graphics about a line is symmetrical，If they correspond to the line segments or extension lines，Then intend to intersect on the symmetry axis
45。 Anther：If the corresponding point of the two graphs is vertically distinguished by the same line，Then these two numbers about this line is symmetrical
46。 Pyclony：Different straight angles of right trianglesawithbSquare and equalcsquared，World。e。 a2 + b2 = c2
47。 Reverse nature of the chamfered theorem：If the three sides of the triangle area， b， withchavea2 + b2 = c2Relationship，Then this triangle is a right triangle
Junior high school：quadrilateral
48。 theorem：The inner corners of the quadrilateral shape is equal to360°
49。 The sum of the outer angles of the quadrilateral shape is equal to360°
50 Polygonal inner angle and theorem：nSide polygonal inner angle and equal（n-2）×180°
51。 inference：Any polygonal outer angle is equal to360°
52。 Parallel tetra-shaped properties1：Paralleled diagonal diagonal diagonal line
53。 Parallel tetra-shaped properties2：Parallel compared edges
54。 inference：The parallel line segment between the two parallel lines is equal
55。 Parallel tetra-shaped properties3：Parallel four-sided diagonal one is divided into two
56。 Parallel quadrangular judgment theorem1：Two sets of quadrangular four-sides of the angle are parallel.
57。 Parallel quadrangular judgment theorem2：The quadrangular four-sides of the two groups is parallel.
58。 Parallel quadrangular judgment theorem3：The diagonal line is divided into two sides of parallel.
59。 Parallel quadrangular judgment theorem4：A set of parallelogram of a set of relative edges is parallel.
Junior high school：rectangle
60 theorem1：The four corners of the rectangle are right angles
61。 Rectangular property theorem2：Rectangular diagonal line equal
62。 Rectangular judgment theorem1：Tetrais having three right angles is a rectangular
63。 Rectangular judgment theorem2：The parallel quadrangular parallelistic diagonal line is a rectangle
Junior high school：diamond
64。 theorem1：Four sides of diamond
65。 theorem2：Diamond diagonal is perpendicular to each other，Each diagonal will be divided into two
66。 Diamond area=Half of diagonal product，That is， S =（a×b）÷2
67。 Diamond determination theorem1：The four-sided four-sided shape is a rhombus
68。 Diamond judgment theorem2：Parallel four-sided parallelism diagonal
Junior high school：square
69。 Square nature theorem1：Four corners of the square are right angles，Four aspects are equal
70 Square nature theorem2：Two diagonal lines of squares，And divided into two diagonal ports
71。 theorem1：Two numbers regarding the center symmetrical are consistent
72。 theorem2：Two graphics about central symmetrical，Symmetrical line through the symmetry center，And symmetric center average
73。 Anther：If the corresponding point of the two graphs pass through a certain point，Then divide this，Then these two numbers about this is symmetrical
Junior high school：Waist ladder
74。 The nature orientation of the waist trapezoid shape：The other waist trapezoids are equal to the two corners of the same bottom.
75。 Two diagonal lines of the like
76。 Waist ladder judge theorem：The two equal angles on the same bottom surface is the equilateral ladder
77。 The opposite shape of the diagonal is equal lumbar ladder
Junior high school：equal
78。 Parallel lines：If a set of parallel lines are different from a straight line，Then, the line segment intercepted on other straight lines is also equal.
79。 inference1：Parallel to the bottom of the bottom line through the ladder，Must be flat to another waist
80 inference2：A straight line pass through the middle point of the triangle side and parallel to the other，The third side must be screehed
81。 Triangular midline theorem：Triangular midline parallel to the third side，Equal than half
82。 Trapezoidal neutral theorem：Trapezoidal midline parallel to two bottoms，Isometric half equal to twoL =（a + b）÷2S = L×h
83。 （1）Basic nature of the ratio：in casea：b = c：d，thenad = bc; in casead = bc，thena：b = c：d
84。 （2）Merger ratio：in casea / b = c / d，then（a±b）/ b =（c±d）/ d
85。 （3）Proportional property：in casea / b = c / d = . = m / n（b + d + . + n≠0），then（a + c + . + m）/（b + d + . + n）= a / b
86。 The proportional theorem between parallel lines and line segments：Three parallel lines cut into two straight lines，A proportion of corresponding line segments
87。 inference：Straight lines parallel to one side of the triangle（Or extension line on both sides）resection，A proportion of corresponding line segments
88。 theorem：If a straight line cuts a triangle two edges（Or extended lines of two edges）， The corresponding line segment is proportional，Then this line is parallel to the third side of the triangle
89。 Parallel to one side of the triangle，Other two sides that intersect this line，Three sides of the triangle intercepted the three sides of the original triangle
90 theorem：One straight line parallel to the triangle side with the other side（Or extension line on both sides）intersect，The triangle formed is similar to the original triangle
91。 Similar triangular judgment theorem1：Two angles correspond to equal，Two triangles are similar（ASA）
92。 Two right triangles are similar to the original triangle on the height of the opposite side.
93。 Judgment theorem2：Two sides are proportional，Angle equal，Two triangles are similar（SAS）
94。 Judgment theorem3：These three aspects should be proportional，Two triangles are similar（SSS）
95。 theorem：If the right angle triangle, the right angle triangle is proportional to the other right right triangle，Then these two right triangles are similar
96。 Property aimator1：Similar triangles correspond to the height ratio，The ratio of the corresponding central line and the ratio of the corresponding angular slide are equal to the similar ratio
97。 Nature theorem2：The ratio of similar triangles is equal to the similar rate
98。 Property aimator3：The area ratio of similar triangles is equal to the square of the similarity rate
99。 Any acute sinusoidal string is equal to its cosine，No cosine of an acute angle is equal to the sinusoidal of its mutual angle
100 No cut lines of acute angles are equal to the tangent value of its complementary angle，Any acute tangent is equal to the tangent of its complementary angle
Junior high school：round
101。 The circle is a collection of points between fixed points equal to fixed length
102。 The interior of the circle can be considered as a collection of points smaller than the radius.
103。 The exterior of the circle can be seen as a collection of points greater than the radius.
104。 The same circle or equal circular radius
105。 The distance to the fixed point is equal to the trajectory of the fixed length point，With a fixed point as a center，Fixed length and radius
106。 Point of the point of the same distance from the two endpoints of the known line segment，Vertical split line of the line segment
107。 Track of points that are equal to both sides of the known angle，Is this point of this angle
108。 Track of parallel lines of two equal distances，Is a straight line parallel to two parallel lines
109。 theorem：Do not identify a straight line without three points on the same line
110。 Vertical diameter theorem：Vertical diameter of the string，And two curved two-equivalents opposite the strings
111。 inference1：
①Alien chord diameter（Not a diameter）Perpendicular to the chord，And two arcs that will be divided into two arcs
②The vertical line of the string passes through the center，And two arcs that will be divided into two arcs
③Arc diameter facing the split line，Vertical 3. Another arc of two-aliquot of the chord
112。 inference2：Two parallel round wiring clamps in the middle arc
113。 The circle is a central symmetrical graphic with a center as a symmetrical center.
114。 theorem：In the same circle or equally round，Equal central corner facing the arc，The center of the string is equal to the string is equal to
115。 inference：In the same circle or equal circle，If there are two central corners Two arcs， Two chords Or two chords have a set of equal values， Then correspond to their remaining quantity sets
116。 theorem：The circular corner of the arc is equal to half of the central corner of the arc
117。 inference1：The same radiative or equal arc is equal； Equal arcs in the same or equal circle inner circles are also equal
118。 inference2：semicircle（Diameter）The circumferential angle is right angle； Circumferential corner90°String diameter
119。 inference3：If the midline on the triangular side is equal to half of the side，Then this triangle is a right triangle
120。 theorem：Rounded internal quadrangular diagonal complement，And any outer plane is equal to its internal diagonal
121。 ①straight lineLwith⊙Ointersectd ﹤r
②lineLwith⊙OTangentd = r
③straight lineLwith⊙OSeparatelyd﹥ r
122。 Decrease theorem：The straight lines passing through the radius of the radius and perpendicular to the radius are circular cutting lines.
123。 Cutting nature：Circular cut line is perpendicular to the radius of the cut point
124。 inference1：Through the center and passing the straight line perpendicular to the tangent must pass the cut point
125。 inference2：Thread passing through the tangent and the straight line perpendicular to the tangent must pass the center
126。 Cutting length theorem：Draw two cut lines from the circumstances，Their tangent length is equal，The line between the center and this point divides the angle between the two tangent lines.
127。 Two opposite side of the rounded quadrilateral and equal
128。 String cut line angle theorem：The string cut line is equal to the circumferential angle of the arc pair it is
129。 inference：If the arc between the two strings is equal，Then two chord angles are also equal
130。 Law of the intersection：Two intersection lines in the circle，The length of the two line segments is divided by the color of the intersection, etc.
131。 inference：If the string is vertical with the diameter，then，Half of the string is the intermediate item of two line segments formed by their split diameter
132。 Cut line theorem：Positive tangent and cutting line from the circle，The tangent length is an intermediate item from the length of the two line segments of the point to the intersection of the cut 易彤破壁机怎么样 line。
133。 inference：Two cut lines from a point outside the circle to a circle，From this point to the product of each of the two line segments of each cut line and circular intersection
134。 If two circles，Then the cut point must be on the connected heart
135。 ①External distance between two circlesd﹥ R + r
②Two external circlesd = R + r
③Two circle intersectR-r ﹤d ﹤R + r（R﹥ r）
④Engraved on two circlesd = R-r（R﹥ r）
⑤Two circles containd ﹤R-r（R﹥ r）
136。 theorem：Central line with two circular intersecting two circular chord vertical
137。 theorem：Divide the circlen（n≥3）：
①The polygon obtained by sequential connection points is a circular inside, and the right surface shape is formed.
②Through each sub-point and round cut 易彤破壁机不工作维修 line，The polygon of the vertex is the circumference of the circle with the intersection of adjacent cut lines.。
138。 theorem：There is an outer circle and an internal cut circle in any regular polygon.，These two circles are concentric
139。 positivenEach internal corner of the edge polygon is equal to（n-2）×180°/ n
140。 theorem：RegularnThe radius and the margin of the edges will be positivenSide polygon is divided into2nFull-class right triangle
141。 nSide regular polygon areaSn = pnrn / 2prepresentativenSide rules polygonal circumference
142。 Equilateral triangle√3a/ 4aThe area indicates the side length
143。 If there is a vertexkRulenCorner，Due to the sum of these perspectives360°，thereforek×（n-2）180°/ n = 360°Become（n-2）（k-2）= 4
144。 Arc length calculation formula：L =nπR/ 180
145。 Sector area formula：易彤破壁机全国维修点SSector=nπR/ 360 = LR / 2
146。 Interior Credit Line Length= d-（R-r）; External public tangent length= d-（R + r）
