Solve this math problem, in a hurry. Answer of the day! To the process

Because it is an isosceles triangle, it has two sides of equal length.

Suppose a is the vertex.

Then ab=ac

x=5x-3 gives x=

At this time, bc=so, when the midpoint a of the isosceles triangle is the vertex, the three sides are long, ab=ac= bc=, assuming b is the vertex.

Then ab=bc

x=2x-1

x=1, and ac=2 does not conform to the rule that the sum of the two sides of the triangle is greater than the third side.

Suppose c is the vertex.

Then bc=ac

2x-1=5x-3

x=2 3 at this time ab=2 3 does not meet either.

So the triangle abc can only be a vertex with three sides length ab=ac= bc=

Assum: ab=ac, then: x=5x-3, x=, bc=, satisfies;

Suppose again: ab=bc, then x=, ac=2, does not satisfy the trilateral relationship of the triangle;

Similarly, assuming that ac=bc, then x=1 and ac=bc=1 3 do not satisfy the trilateral relationship of the triangle;

Therefore, ab=ac=,bc= is the solution.

There are three scenarios that need to be discussed.

1).If ab=ac, i.e., x=5x-3

The solution is x=3 4=ab=ac

bc=1/2

2).If ab=bc

The solution is x=1=ab=bc

ac=23).If ac=bc

The solution is x=2 3=ab

ac=bc=1/3

Because in a triangle, the sum of the two sides is greater than the third side, and the difference between the two sides is less than the third side.

Therefore, in (2) ab + bc = ac (3) ac + bc = ab do not match.

1) Correct.

Situation 1: When AB and AC are waists.

x=5x-3 → x=3/4

ab=3/4 bc=1/2 ac=3/4

It has been tested to conform to both sides of the triangle and is greater than the third side.

Case 2: When AB and BC are waists.

x=2x-1 → x=1

ab=1 bc=1 ac=2

ab+bc=ac, not conforming to both sides and greater than the third side.

This is not true.

Case 3: When BC and AC are waists.

2x-1=5x-3 → x=2/3

ab=2/3 bc=1/3 ac=1/3

BC+AC=AB, not conforming to both sides and greater than the third side.

This is not true.

Finally, it is concluded that the length of the three sides of this triangle is ab=3 4 bc=1 2 ac=3 4

Solution: If ab=bc, then we get the equation x=2x-1

x=1, so the three sides are ab=1, bc=1, ac=2, and because 1+1=2, they can't.

If ab=ac, then x=5x-3 is obtained, and x=3 4bc=2x-1=1 2 is obtained

Triangles can be formed.

If bc=ac, then 2x-1=5x-3 is obtained, and the three sides of x=2 3 are ab=2 3 bc=1 3 ac=1 3 and cannot form a triangle because 1 3+1 3=2 3.

Answer: The three sides are ab=3 4 ac=3 4 bc=1 2

Let ab=bc, that is, x=2x-1, and the solution is x=1, ab=bc=1, ac=2, and cannot form a triangle.

Let bc=ac, that is, 2x-1=5x-3, and the solution gives x=2 3, ab=2 3, bc=ac=1 3, and cannot form a triangle.

Let ab=ac, that is, x=5x-3, and the solution is x=3 4, ab=ac=3 4, bc=1 2, which is in line with the topic. So the three sides of the isosceles triangle are ab=ac=3 4, bc=1, 2

ab=bc pushes x=1, which does not conform to the sum of the two sides greater than the third side, and is rounded.

bc=ac pushes out x=2 3, which does not conform to the sum of the two sides greater than the third side, and is rounded.

ab=ac pushes out x=3 4, so ab=3 4, bc=1 2, ac=3 4

Since it is not said who is the waist in the question, there are 3 possibilities, when ab=bc, x=1 ab=bc=1 ac=2

When ab=ac, x=3 4 ab=ac=3 4 bc=1 2 when bc=ac, x=2 3, ab=2 3 bc=ac=1 3

The sum of the two sides cannot be less than or equal to the third side, and x is not equal to 1 and 2 3 So, ab=ac=3 4 bc=1 2

1) 2a+4b can be expressed (the sum of 2 a and 4 b).

2) Lele is 10 years old this year, and (b) is the closest to her age in the following time.

a) 100 months b) 500 weeks c) 36,000 days d) 20,000 hours.

3) The first half of 2008 had (b) days.

a)181 b)182 c)180 d)183

5) The sum of the digits of the product of 99999 99999 is (45).

6) There are 20 equations: 1+2=3

.What is the sum of the left and right sides of equation 20?

The number of numbers on the left side of the nth equation is n+1, and the number of numbers on the right is n, and there are 2n+1 numbers in each equation; All equation numbers are continuous natural numbers, and the numbers in two adjacent equations are also continuous.

Answer: The number of numbers in the first 19 equations is 3+5+7......+37+39=399

The 20th equation should start at 400 with 21 numbers on the left and 20 numbers on the right.

The 20th equation is 400 + 401 + ......419+420=421+422+……439+440=8610

7) Observe the series below.

.What row and column is 100 99 in?

The sum of the numerator and denominator in the first row is 2, the sum of the numerator and denominator in the second row is 3, and the sum of the numerator and denominator in the nth row is n+1;The denominator in column 1 is 1, the denominator in column 2 is 2, and the denominator in column n.

Answer: 99 The sum of the numerator and denominator of 99 is 199, so in line 198, the denominator is 100, so in the 100 column.

Question 3; 182 days, because 2008 is a leap year, so February has 29 days.

1. Solution: Walk around every hour, the minute hand on the square is 80cm long, and this length is the radius. The area swept in 10 hours is.

s=10* ㎡

2. Solution: If the task volume of car A is x tons, then the task volume of car B is (1800-x) tons.

As you know, there are: x*88%+(1800-x)*90%+200=1800x=1000

Then it is concluded that car A is 1000 tons, and car B is 800 tons.

An hour is equivalent to a circle of the minute hand, and 10 hours is equivalent to 10 turns of the minute hand, which means that 10 such areas are being found.

square centimeters) A: The area it swept in 10 hours is 200,960 square centimeters.

2. The task volume of car A is x, and the task volume of car B is (1800-x) tons.

88%x+90%(1800-x)+200=180088%+1620-90%x=1600

x=1000

1800-1000=800 (tons).

Answer: The task volume of vehicle A is 1000 tons, and the task volume of vehicle B is 800 tons.

80 * 10 = 64000 (square centimeters) solution: Let the task quantity of vehicle A be x tons, then the task volume of vehicle B is (1800-x) tons.

88%x+90%（1800-x）=1800-20088%x+90%（1800-x）=160088%x+1620-90%x=1600

1620-2%x=1600

x=1000

1800-x=1800-1000=800

80 The area is 200960cm

Solution: Set X tons of A and B (1800-x) tons.

88％x+90％（1800-x）+200=1800x=1000

1800-1000=800 (tons).

Walking for 10 hours is a circle around the minute hand The area is a circle s = r 2 = the amount of task A x B y

x+y=1800

The minute hand of the clock in the square is 80 centimeters long, and what is the area it has swept in 10 hours?

20096*10=200960(cm2)

He paid 80 yuan for the first shopping and did not enjoy the discount.

The second payment is 252 yuan, if he enjoys a 20% discount, and the original payment of 315 yuan If he enjoys a 9% discount, the original payment is 280 yuan.

So a one-time consumption of 395 yuan or 360 yuan.

Multiply the two numbers respectively to get a payable of $288 or $316.

Wang Bo bought 80 yuan for the first time and did not enjoy the discount, and spent 252 yuan for the second time**=252 yuan.

then two times a total = 80 + 280 = 360 yuan.

20% off is available.

Payable = 360 * yuan.

If he buys the same goods at one time as the last two times, he should pay 288 yuan If 252 yuan is to take preferential plan 3, then the original price of the goods: = 315 (yuan), the total price of the two purchases of goods: 315 80 = 395 (yuan), then the one-time purchase needs 395 yuan), so choose 288 yuan or 316 yuan.

If 80 yuan is after the discount**, then before the discount: , so 80 yuan is the original price If 252 yuan is to take the preferential plan (2), the original price of the product: = 280 (yuan), the total price of the two purchases:

80 280 = 360 (yuan), then a one-time purchase requires 360 yuan).

If 252 yuan is to take the preferential plan (3), then the original price of the product: = 315 (yuan), the total price of the two purchases: 315 80 = 395 (yuan), then a one-time purchase requires 395 yuan), so choose 288 yuan or 316 yuan.

From the meaning of the title, it can be seen that because 100 > 80, so the first time to buy 80 yuan of items and because: 252 < 300, 252 >300, so the second shopping has two situations, buy 280 yuan items, or buy 315 yuan items, if the second time you buy 280 yuan items, then a total of 280 + 80 = 360 yuan of items, payable 360 yuan.

If you buy 315 yuan for the second time, you will buy a total of 315 + 80 = 395 yuan of goods, and you should pay 395 yuan.

Solution: According to the topic:

The value of the last two identical goods was:

80+252, so, Wang Bo one-time purchase payable:

The first step is to put forward the same item first, which is:

x^2（x+3）-（x+3）

x^2（x+3）-（x+3）1

x+3）（x^2-1）

Next, the items that can be decomposed are further decomposed into the following:

x+3）（x^2-1）

x+3）（x+1）（x-1）

1.The length is 80 2*4 (4+1)=32, the width is 80 2-32=8, and the area is 32*8=256

Jiang Tao travels 15 kilometers per hour.

Let the length be a meter, the width be a 4, (a + a 4) * 2 = 80, a = 32Length 32, width 8, area 32 * 8 = 256 square centimeters.

Let Jiang Tao be x kilometers per hour, 20 x = 4 3

x = 15 km.