If f (x) and G (x) are odd and even functions on R respectively, and f (x) - G (x) = x ^ 3-2x ^ 2-x + 3, find the analytic expressions of F (x) and G (x)

If f (x) and G (x) are odd and even functions on R respectively, and f (x) - G (x) = x ^ 3-2x ^ 2-x + 3, find the analytic expressions of F (x) and G (x)

f(x)-g(x)=x³-2x²-x+3 ①
Replace x with - X
That is, f (- x) - G (- x) = - X & # 179; - 2x & # 178; + X + 3
∵ f (x) is an odd function and G (x) is an even function,
Then - f (x) - G (x) = - X & # 179; - 2x & # 178; + X + 3 (2)
①-②
Then 2F (x) = 2x & # 179; - 2x
∴ f(x)=x³-x
①+②
Then - 2g (x) = - 4x & # 178; + 6
∴ g(x)=2x²-3

Calculation (accurate to 1 '): (1) 21 ° 38 ′ + 67 ° 41 ′ (2) 180 ° - 57 ° 13 ′ (3) 21 ° 23 ′× 4 (4) 360 ° 11
（1）21°38′+67°41′
（2）180°-57°13′
（3）21°23′×4
（4）360°÷11

（1）21°38′+67°41′=89º19′
（2）180°-57°13′=122º47′
（3）21°23′×4=85º32′
（4）360°÷11=32°47′

It is known that, as shown in the figure, ad is the middle line on the edge of BC in △ ABC, and CE ‖ AB intersects the extension line of ad at E. verification: ab = CE

It is proved that: ∵ ad is the middle line of BC, ∵ BD = CD. ∵ CE ∥ AB, ∵ bad = ≌ CED. In △ abd and △ ECD, ≌ bad = ≌ CED ≌ ADB = edcbd = CD, ≌ abd ≌ ECD (AAS), ≌ AB = CD

It's 2:54

There are several expression methods
Two fifty four
Six to three

Experience of 6S article management

"Ten years of trees, a hundred years of people" to change employees' thinking, behavior, habits and then change their literacy can not be achieved overnight. To improve the overall literacy of employees, it needs a positive interaction between the large social environment and the small enterprise environment

Writing plant composition in the fourth grade of primary school

Narcissus when I was a child, I always lived in my grandmother's home. At that time, there were many beautiful flowers planted in my grandmother's yard. In spring, there were jasmine and peony; in summer, there were sunflower and crab claw lotus; in autumn, there were chrysanthemum and a bunch of red flowers; in summer, there were plum blossom and Narcissus

The solution of equation 4x-x = 12 is ()
A. x=4.5B. x=4C. x=7.2

4x-x = 12 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 3x = 12 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X = 4, so B

99 and 3 / 4 + 199 and 3 / 4 + 2999 and 3 / 4 + 3999 have 3 / 4 + 1

99 + 3 / 4 + 199 + 3 / 4 + 2999 + 3 / 4 + 3999 + 3 / 4 + 1 = (99 + 199 + 2999 + 3999) + (3 / 4 × 4) + 1 = (100 + 200 + 3000 + 4000) + 3 + 1 - 1 - 1 - 1 = 7300 + 4 - 4 = 7300

Mathematics problems in Grade 9 Volume 1
1. Solve the equation
（1）2X²-3X=0
(2) X & sup2; + 2x-2 = 0 (by matching method)
（3）2X²-10X=3
（4）X/X-1 - 2X-2/X -1=0
2. Given that X1 + x2 are two of the equations X & sup2; + 3x-4 = 0, then
X1+X2=______ . X1·X2=_____ 、1/X-1 + 1/X2=______ 、 X²1+X²2=_______
3. If the equation AX & sup2; + 6x + C = 0 has a root of 1, then a + B + C=_______ If one root is 1, then C=______
4. Given that the value of X & sup2; + 3x + 5 is 8, then 3x & sup2; + 9x + 11=_______
5. Given that a linear equation with one variable has a root of 1, then the equation can be_______
6. If the equation x & sup2; = 2x + m has two equal real roots, then M=______ .

(1) X1 = 0, X2 = 3 / 2 (2) (x-radical 3 + 1) (x + 1 + radical 3) = 0, X1 = radical 3-1, X2 = - radical 3-1
(3) X1 = (- 5 + radical 31) / 2, X2 = (- 5 - radical 31) / 2 (4) X1 = 1 / 2, X2 = 2
2.-3,-4,3/4,17
3.0,1
four point two zero
5.x^2-2x+1=0
6.-1

The unit price of a commodity is 180 yuan after 10% reduction. If it is () yuan before reduction

180 divided by 0.9 = 200