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A straight line has a common one – an axis of symmetry.
Is this okay?
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dd'With OC as the axis of symmetry, OC bisects the y-axis and OD
The angle between OD and the X-axis is 30 degrees.
Then the angle between OC and X-axis is 60 degrees.
OC equation: y = 3x
Find the intersection of ab and oc to get (3 2, 3 3 2) <>
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Coordinates of point c (3 2, 3 3 2).
Solution: From the ab line y x 3 3 3, the coordinates of point A and point B are (3,0) and (0,3) respectively. 丨ao丨 3,丨ob丨 3
ab=√(ao^2+bo^2)=2√3
AOCD is a parallelogram.
bao cdo,丨ao丨 丨cd丨 3d about oc symmetry point is d
OC is the perpendicular bisector of DD.
d'oc=<cod
The perpendicular lines of od and od are respectively at point c, and the perpendicular feet are e and f respectively.
CE CF in RT AOB vs. RT CFD, CDF Bao AOB CFD
cf/bo=cd/ab
cf=3/2
CE 3 2, i.e. xc 3 2, substitute it into y x 3 3 3 3 to get yc 3 3 2
The coordinates of point c are (3 2, 3 3 2).
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18.Let y=0, get x=-3, i.e., a(-3,0), let c(m, 3m 3+ 3)=(m,(m+3) 3), the quadrilateral oacd is a parallelogram, so d(m+3,(m+3) 3), d's symmetry point with respect to oc is d', when m<-3 d, the ray oc is in the third quadrant, and the drawing knows, d'Not on the y-axis, so m>-3
So od'=od=ac=2(m+3) 3,d with respect to the symmetry point d of oc'On the y-axis, so d'(0,2(m+3)/√3),dd'The midpoint of m((m+3) 2, 3(m+3) 2) is on the line oc:y=(m+3)x (3m), so 3(m+3) 2=(m+3) 2 (2 3m),m≠-3, so 3m=m+3, 2m=3, m=3 2
So c(3 2,3 3 2)
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1.If the difference between two numbers is 29, the large number divided by the decimal quotient is 3, and the remainder is 5, then the large number is ( ) and the decimal number is ( ).
2.The number of Aries heads in the sheepfold is 20 less than the number of feet of the black sheep, and the number of heads of the black sheep is 145 less than the number of feet of the white sheep, then the white sheep has ( ) head and the black sheep has ( ) head.
3.A said humorously to B"When I was as old as you, you were only 2 years old; And when you were my age, I was 38 years old. "Then the ages of A and B are respectively ( ).
4.If the equation about x mx 2+(m-2)x+5=0 is a unary quadratic equation, then m=
5.Xiao Ming went to a supermarket to buy two different brands of jelly, mkg and n kg, respectively, and the average unit price of the jelly he bought was yuan kg.
6.Please write that one root is x=1 and the other root satisfies -10 (if there are 2 unequal real roots).
5.(6.Obtained by the root system: 07Here both the inverse proportional function and the circle are graphs that are symmetrical with respect to the origin of the center.
Shadow area = r
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Fill-in-the-blank questions'1.Let the mode of a set of data 15, 17, 14, 16, 12, and 14 be a, and the median is b, then a = b (fill in">" ."<"or"="2, the set of solutions for the group of inequalities is :
4
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(2010 Harbin) 1In the following arithmetic, the correct one is ( )a (a) x3·x2 x5 (b) x x2 x3 (c)2x3 x2 x (d) (2010 Harbin)2Simplify, then evaluate where a 2sin60° 3 (2010 Honghe Autonomous Prefecture) if ( c ) and -2 b
3 and 2 and 2 d-3 and -2 (Zunyi City, 2010) As shown in the figure, two wide roads were built on a rectangular ground with a width of and length of , and the remaining part was planted with flowers and plants. Then, the area where flowers and plants are planted is
Answer: 1131 (Guilin 2010)5 The following operations are correct ( c ) a b c d (Guilin 2010)19 (this question is scored out of 6 points) Calculation: 4cos30° + 19 (6 points for this question) Solution:
Original = ......3 points = ......5 points = 2 ......6 points 7(2010 Jinhua) if , then the value of the algebraic formula is ( d a 0 b 2 c 5 d 8 (2010 Jingmen City, Hubei Province) 4 If a and b are real numbers, and satisfy |a-2|0, then the value of b a is ( ) a) 2 (b) 0 (c) 2 (d) The above are not trueAnswer: C (2010 Jingmen City, Hubei Province) The value of 2 is ( ) a) 1 (b) 3 (c)1 (d)0Answer:
c (Meishan, 2010)3 The correct of the following operations is a b c d Answer: B Bijie 17 Write a five-time monomial containing the letters x and y (only one is required) 17 The answer is not unique, e.g. 2 (10 Tongnan County, Chongqing) The result of calculating 3x+x is ( ) c a 3x2 b 2x c 4x d 4x2 1, (Nan'an, Quanzhou, 2010) The correct of the following operations is ( ) a b c d 2, (Nan'an, Quanzhou, 2010) Answer: Solution:
Original formula = = = 73, (2010 Quanzhou Nan'an City) is known, find the value of the algebraic formula Answer: Solution: Original formula = = = When , the original formula = 4, (2010 Hangzhou City) It is known that the bottom surface of a straight quadrangular prism is a square with a side length, a height of , a volume of v, and a surface area equal to s
1) When a = 2 and h = 3, find v and s respectively; (2) When v = 12 and s = 32, find the value of . Answer: (1) When a = 2, h = 3, v = a2h = 12; s = 2a2+ 4ah =32 .
2) ∵a2h= 12, 2a(a + 2h) =32, ∴a + 2h) = ,∴= = = .2010 Shaanxi Province) 3Calculation (-2a.)
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Junior high school math thieves are less thieves and fewer fill-in-the-blank questions.
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1.There may be questions about the question.
1 or 6:1
Root number 3:21: Root number 2
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Children of this year, alas, ......
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Residents are allowed to walk x kilometers per hour.
Car A catches up with the resident in 5 minutes, then the distance A walks is: 5 60 * 132 = 11 km At this time, the resident walks 5 60 * x km.
Car B catches up with the resident in 6 minutes, then the distance B walks is: 6 60*112=km At this time, the resident walks 6 60*x km.
11-5/60x=
The solution is x=12 km-hours.
Let C travel y kilometers per hour.
Car C catches up with the residents in 8 minutes, then the distance C walks is: 8 60 * y kilometers, at this time, the residents walk 8 60 * x = 8 60 * 12 = km 8
8/60y=
y = 87 kmh.
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by conditions. The distance of car A is 5 60 132 = 11 km, and the distance of car B is 6 60 112 = km.
The difference between A and B is 1 minute, and the distance traveled by the resident in this minute is 2 minutes between car C and car B, and the resident walks in 2 minutes.
The distance traveled by car C is:
The speed of the C car is.
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Solution: Let the speed of car C be x kilometers per hour, and the speed of residents will be y kilometers per hour.
Public security officers, firefighters, medical personnel and residents are kilometers away.
Then: 5 60 (132-y) = s
6/60(112-y)=s
Solve the system of equations to obtain: y=12
s 10 again because: 8 60 (x-y) = s
Substituting yields: x=87
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Solution: When the public security officers, firefighters, and medical personnel set off, the county town had already left the county seat for a kilometer, and the speed of the county town to rescue residents was b kilometers per minute.
Then the distance traveled by the public security (car A) in 5 minutes is (1) A + 5b = 5 60 * 132 = 11 km.
The distance traveled in 6 minutes is (2) A + 6b = 6 60 * 112 = km. There are two equations (1) and (2) that are solved together to obtain a = 10 and b = . Therefore, the distance traveled by the medical staff (car C) in 8 minutes is a + 8b = 10 + = km.
Then car C travels per hour: divide by 8 60 = 87 kilometers per hour. A:
The C car travels 87 kilometers per hour.
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a*(b b)*c+a = a[(b b)*c+1] = 2000, decompose prime factor: 2000 = 2 4 5 3 , yield: a = 2 or 5 ;
2 2 = 4 , 3 3 = 27 , 5 5 = 3125 , you get: b = 2 or 3.
When a = 2 and b = 3, the solution is: c = 37 is a prime number, which satisfies the meaning of the problem;
When a = 5 and b = 2, the solution is: c = 399 4, which is not in line with the topic;
When a = 5 and b = 3, the solution is: c = 133 9, which is not in line with the topic;
In summary, we can get a = 2, b = 3, c = 37, so a+b+c = 42.
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Knowing that three different prime numbers a, b, and c satisfy a times b by b by c=200, then a+b+c=
200=2*10 2=(5*2) 2*2, obviously, a=5, b=2, c=2 So, a+b+c=9
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You read your question well, I don't know if I understand it, my opinion:
Analysis: The upper bottom of the isosceles trapezoidal is 4, and the length of the lower bottom is divided into two parts: one long and one short.
Upper bottom = 4, lower bottom = 10, if you make 2 heights from the top bottom 2 endpoints, then divide the bottom bottom into 3 parts, of which the two parts on the most two sides are equal. And the middle part is equal to the top bottom 4, (you can draw a picture to think about it, it's a bit abstract).
Then the length of the equal 2 parts = (10-4) 2=3, when only one is high, it is one long and one short 2 parts, the short one is 3, and the long one is 10-3 = 7
Then, the upper and lower lengths of the isosceles trapezoid are 4cm and 10cm respectively, and the height of the trapezoid is made from one end of the upper bottom, and this height divides the lower bottom into two parts: (3cm and 7cm).
If I'm not mistaken, that's how it should be. Hope it helps.
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This height divides the bottom into two parts: 7cm and 3cm.
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The 3cm and 7cm parts are isosceles trapezoidal.
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Let the original purchase price be a;
Original selling price = a*(1+.)
Current purchase price = a*(1+.)
Current price = original price = a * (1+.)
Therefore, the current profit margin = [a*(1+
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If the original purchase price is x, the selling price is (1+47%)x
Now the purchase price is (1+5%)x
The current profit is (1+47%) x - (1+5%) x = 42%x the current profit is 42%.
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47%÷(1+5%)≈45%
The original profit margin on the sale of a product was 47%. Now, since the purchase price has increased by 5% and the selling price has not changed, the sales margin of this product has become (45%)
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If the selling price is x, the profit is 47%x, and the original purchase price is 53%x.
If the purchase price is increased by 5%, it will be 53% x * (1+5%) = profit will become.
The profit margin is:
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If the original price is 100, the profit is 100*47%=47, and the purchase price is increased by 5%, and the purchase price is 100*
The profit margin becomes: 47 105=
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Profit margin on sales = (selling price - purchase price) purchase price.
Profit margin on sales = (40
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Suppose the original purchase price is 53, the selling price is 100, and the profit is 47 yuan, and then the purchase price is increased by five percent, you can calculate
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It's from the chapter on binary equations. But I won't.
These are annoying. It's the foundation + the foundation + the foundation + the workaround = the answer. So it's still necessary to do more questions. Look at the formula. That's all,
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