At the beginning of the Western Han Dynasty, the government of the Western Han Dynasty was forced to adopt the "()" policy towards Xiongnu During the reign of Emperor Wu of the Han Dynasty, the country was powerful and seized () area from Xiongnu. In () A.D., Wei Qing and Huo Qubing defeated Xiongnu During the reign of emperor yuan of the Han Dynasty, Hu Hanxie asked to marry him People call the present Gansu () and the west of () the western regions () twice sent () envoys to the western regions, the Silk Road opened In AD (), the government of the Western Han Dynasty set up the Duhu of the western regions, and since then () has been under the jurisdiction of the central region The Eastern Han government sent () to manage the western regions

At the beginning of the Western Han Dynasty, the government of the Western Han Dynasty was forced to adopt the "()" policy towards Xiongnu During the reign of Emperor Wu of the Han Dynasty, the country was powerful and seized () area from Xiongnu. In () A.D., Wei Qing and Huo Qubing defeated Xiongnu During the reign of emperor yuan of the Han Dynasty, Hu Hanxie asked to marry him People call the present Gansu () and the west of () the western regions () twice sent () envoys to the western regions, the Silk Road opened In AD (), the government of the Western Han Dynasty set up the Duhu of the western regions, and since then () has been under the jurisdiction of the central region The Eastern Han government sent () to manage the western regions

1. Make peace
2. 119 years in Hetao and Hexi Corridor
3. Emperor Zhaojun of Han and Yuan Dynasties
4. Yumen pass and Yangguan pass
5. The western regions in 60 BC
6. Ban Chao

As shown in the figure, in the isosceles trapezoid ABCD, ad ∥ BC, point E is a point on the extension line of AD, de = BC. (1) verification: ∥ e = ∥ DBC; (2) judgment of the shape of △ ACE (without explanation)

(1) In △ BCD and △ EDC, BC = de ∠ BCD = ∠ edccd = DC, ≌ BCD ≌ EDC (SAS) ≌ e = DBC. In △ BCD and △ EDC, BC = de ∠ BCD = EDC, ≌ EDC (SAS) ≌ e = DBC. In △ BCD and △ EDC, BC = de = BC, ≌ quadrilateral bced is a parallelogram, (a group of parallelograms with opposite sides parallel and equal are parallelograms) ≌ e = DBC. (2) △ ace is an isosceles triangle The results are as follows: ∵ trapezoid ABCD is isosceles trapezoid, ∵ AB = DC, AC = BD, and ∵ BC = CB, ≌ ABC ≌ DCB, ∵ ACB = ≌ DBC, ∵ AE ∥ BC, ∵ EAC = ∩ ACB, ∩ DBC = ∩ EAC, and ∫ DBC = ≌ e, ≌ EAC = ≌ e, ∥ AC = EC, ∩ ace is isosceles triangle

47 * 9 and 47 / 46
11/23*（3/1*4/22-46/77）

47 * 9 and 47 / 46
=(46+1)*47/46
=46*47/46+1*47/46
=47+47/46
=47 and 47 / 46
There's a problem with the next one

How to judge whether a function is odd, even, non odd, non even or both?
For specific methods: such as image analysis method
Another example is that f (x) = | x + 1 | + | X-1 | is an even function. How to judge this
Image analysis method is just what I said, as long as it is a simple method!

F (- x) = | - x + 1 | + | - X-1 | = | - X-1 | + | - x + 1 | = | - x + 1 | + | - X-1 | = f (x) is an even function
As long as f (x) = f (- x) is an even function
F (x) = - f (- x) is an odd function

As shown in the figure above, if the side length of square ABCD is 1, the points m and N are the moving points on BC and CD respectively, and the circumference of △ CMN is 2, then ∠ man =_______ degree

Answer: 45 degrees for the following reasons:
Rotate △ adn clockwise 90 degrees around point a to get △ Abe, and connect AE, that is △ adn ≌ △ Abe, where be = DN
∵ Mn + MC + CN = 2, BM + MC + CN + DN = 2, and be = DN
∴MN=BM+DN=BM+BE=ME
∵△ADN≌△ABE
∴AE=AN
∵AM=AM,MN=ME
∴△AMN≌△AME
∴∠MAN=∠MAE
∫∫ Mae = ∫ BAM + ∫ BAE, and ∫ BAE = ∫ Dan
∴∠MAN＝∠BAM+∠DAN
∵∠ man + ∠ BAM + ∠ Dan = 90 degrees
■ ∠ man = 45 degrees

How many cm (m or DM) is one foot?

33.3cm

In the past, it took 8 hours for Letong toy factory to produce 1200 dolls. After the technological innovation, it took only 6 hours to complete the production. What percentage of the working time has been shortened? How much has the work efficiency been improved? (one decimal place before the percent sign)

(8-6) △ 8, = 2 △ 8, = 25%; 1200 △ 8 = 150 (pieces); 1200 △ 6 = 200 (pieces); (200-150) △ 150, = 50 △ 150, ≈ 33.3%; answer: the working time is shortened by 25%, and the working efficiency is improved by 33.3%

If the circumference of a rectangle is 72 cm, and the length is 3 cm less than 2 times the width, how many cm is the length? How many cm is the width?
Don't write equations

72 divided by 2 is 36
36+3=39
39 divided by 3 is 13
13 times 2 minus 3 makes 23
So it's 23 long and 13 wide

The number 13131313 is expressed by the formula with n

1= 2-1
3= 2+1
Therefore, the general term formula can be expressed as:
2+(-1)^n

It took 24 seconds for a train to cross the 360 meter long railway bridge, and 16 seconds for a train to cross the 216 meter long railway bridge at the same speed______ Rice

Speed: (360-216) / (24-16) = 144 / 8 = 18 (m), train length: 18 × 24-360 = 72 (m), or 18 × 16-216 = 72 (m). Answer: this train is 72 m long