1、Volume = edge length x x long * x V=a x a * a3, rectangle:C perimeter, S area, a, side length, perimeter = (length + width) * 2 C=2 (a+b) area = * * width S=ab4, cuboidV: volume s:, area a: long, b: width, h: height(1) surface area (length * width + length * height + width * height) * 2 S=2 (ab+ah+b
2、h)(2) volume = long * width * high V=abh5, triangleS a h high end area bottom area = x height / 2 s=ah / 2Triangle area high = x 2 / bottomTriangle area = x 2 / high6, parallelogram: s area a, bottom h, high area = bottom * high s=ah7, ladder: s area a b h high bottom bottom area = (+ down on the bo
3、ttom end) * / 2 s= (a+b) * H / 28 round: S C d= r= diameter radius circumference pi(1) = =2 * * * perimeter diameter radius C= d=2 pi pi pi * r(2) * * * area = radius radius9, cylinder: V, volume h:, high S: bottom area R: bottom radius C: bottom perimeter(1) the side area = the circumference of the
4、 bottom * high(2) surface area = side area + base area * 2(3) volume = base area * height(4) = 2 / X volume side area radius10, V: h s high volume cone bottom area R bottom radius size = base area x height / 3The total, the total number of copies = average numberEquation of sum and difference(+ and
5、difference) 83019 2 = number(and poor) 83019 2 = decimalDoubling problemAnd (1 = decimal multiples).Decimal = multiple = large number(or sum = decimal = large number)Difference problem(1 / difference multiples) = decimal(or decimal + difference = large number)Tree planting problem1, the problem of t
6、ree planting on non closed lines can be divided into the following three cases:If a non closed line at both ends are planting trees, so:Number = number of + 1 / 1 = length spacing* (1 = length spacing number)Full length (1 / spacing = number)If you want to plant trees in the end of non closed line,
7、the other end is not planting, so:Number = number = length / spacingLength = x number of rows= length / number of rowsIf both ends in non closed line are not planting trees, so:Number section number = - 1 / 1 = length spacing* (number = length spacing + 1)= length / spacing (number 1)2, the number o
8、f trees on closed lines is as followsProfit and loss(profit + loss), the two distribution of the difference between the number of copies in the distribution of =(large surplus - small surplus) / two distribution of the difference between the number of copies in the distribution of =(burned - a small
9、 loss of two times), the difference between the number of copies is assigned to participate in the distribution of theEncounter problemEncounter distance = speed and X meeting timeMeet time = distance / speed and meetThe speed and distance, the encounter time = meetCatch up with problemsTracking dis
10、tance = speed difference * tracking timeChase and chase and distance / time = speed differenceThe speed difference and distance = chase chase and time.Flow problemDownstream velocity = hydrostatic velocity + flow velocityCountercurrent velocity = hydrostatic velocity - flow velocityHydrostatic speed
11、 = (downstream velocity and velocity), 2Flow rate = (downstream speed velocity), 2Concentration problemThe weight of the solute + the weight of the solvent = the weight of the solutionThe weight, the weight of the solute solution x 100% = concentrationWeight of solution = concentration = solute weig
12、htThe weight, concentration of solute solution = weightProfit and discount problemsProfit = selling price - costThe rate of profit, profit = cost X 100% = (sold / cost 1) * 100%Amount of fluctuation = principal * Change PercentageThe actual price discount, the original price x = 100% ( 1 discount)In
13、terest = principal * interest rate * timeAfter tax interest rates * * * = principal time (120%)Length Conversion1 kilometers 1 meters =1000 meters =10.1 cm =100 cm =10 1 meter decimeter1 cm =10 mmArea Conversion1 sq km =100 hectares1 hectares =10000 square meters1 square meters =100 square decimeter
14、1 square =100 square centimeter decimeter1 mm2 =100 mm2Volume (volume) product unit conversion1 cubic meters =1000 cubic decimeter1 cubic meter =1000 cubic centimeter1 DM3 =1 L1 cubic centimeter =1 ml.1 cubic meters =1000 litersWeight unit conversion1 tons =1000 kg1 kilograms =1000 grams1 kg =1 kgUn
15、it conversion of Renminbi1 yuan =10 Jiao1 jiao =10 minutes1 yuan =100 centstime conversionFirst Century =100, 1 years =12 monthsMonth (31 days): 135781012 monthXiaoyue (30 days) are: 46911 monthThere are 28 days in February, a leap year 29 days in FebruaryThere are 365 days a year, a leap year 366 d
16、ays a year1 days =24 hours, 1 hours =60 minutes1 minutes, =60 seconds, 1 hours, =3600 secondsMathematical formulas of geometry, perimeter, area and volume of Primary Mathematics1, the perimeter of the rectangle = (long + width) * 2 C= (a+b) * 22, square perimeter = side length * 4 C=4a3, rectangular
17、 area = long * width S=ab4, square area = length side * side length S=a.a= a5, the bottom of the triangle area = x height / 2 S=ah / 26. The area of the parallelogram = bottom * high S=ahArea = 7, trapezoidal (bottom + bottom) x height / 2 S= (a + b) H / 28 x 2 d=2r diameter = radius radius = 2 D /
18、2 r= diameter.9, the circumference of a circle diameter x = pi = pi * * 2 c= D =2 radius Pi Pi R10, the area of a circle radius radius = pi * *Common formulas for junior high school mathematics1 there is only one line after two2 the line between two points is the shortest3 the same angle or isometri
19、c equal margin4 with the angle of the complement of equal or constant5 having only one line and perpendicular to the known line6, the line outside a point and the line on all points connected by the line, the vertical line segment is the shortest7 parallel axioms follow a point outside the straight
20、line and have only one line in parallel with the line8 if the two lines are parallel to the third lines, the two lines are parallel to each other9 corresponding angles are equal, the two parallel lines10 alternate angles are equal, the two parallel lines11 complementary interior angles on the same s
21、ide, two parallel lines12 the two parallel lines, corresponding angles are equal13 two line parallel, alternate angles are equal14 the two parallel lines, complementary interior angles on the same sideThe sum of 15 sides of a triangle is greater than third16 infer that the difference between the sid
22、es of a triangle is less than third17 triangle triangle sum theorem three angles and equal to 180 degrees18 inference 1 the two acute angles of right triangle overlap each other19 a corollary of a triangle is equal to the 2 corners and two angles it is adjacent and20 a corollary of a triangle with 3
23、 corners than any one and it is not adjacent.The corresponding sides of 21 congruent triangles and equal angles22 edge axioms (SAS) are congruent with two triangles of equal angles on both sides and their angles23 corner corner axiom (ASA) has two triangles congruent horns and their edges correspond
24、ing to the equal24 inference (AAS) had two horns and one of the angle on the side corresponding to the equal two congruent triangles25 side axioms (SSS) having two equal triangles equal to three sides26 bevel and right side axioms (HL) have two equal angles of right triangle and one right angleCongr
25、uent27 theorem 1 the distance between points on the bisector of an angle to the sides of this angle is equalThe point at which the distance between 2 and 28 angles is the same as in the bisector of this angleThe bisector of 29 angles is the set of all points equal to the two sides of the angleTwo an
26、d 30 are equal isosceles triangle theorem of an isosceles triangle (i.e. equal equilateral angle)31 infer that the bisector of the 1 isosceles triangle vertex is equal to the base and perpendicular to the base32 the top angles of the isosceles triangle, the bisector, the middle line on the bottom ed
27、ge and the height on the bottom edge coincide with each other33 corollary 3 equilateral triangles whose angles are equal, and each angle equal to 60 degrees34 the decision theorem of isosceles triangle, if a triangle has two angles equal, then these two anglesThe opposite sides are equal (equal angles, equal sides)35 corollary 1 three angles are equal triangle is an equilateral triangle36 corollary 2 an isosceles triangle with an angle equal to 60 degrees is an equilateral triangle37 in a right triangl
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