Let y = f (x) be an odd function on R, and if x ∈ R is, there is f (x + 2) = - f (x). If - 1 ≤ x ≤ 1, f (x) = SiNx, let x ∈ [1,5], The analytic expression of F (x)

Let y = f (x) be an odd function on R, and if x ∈ R is, there is f (x + 2) = - f (x). If - 1 ≤ x ≤ 1, f (x) = SiNx, let x ∈ [1,5], The analytic expression of F (x)

f(x+4)=-f(x+2)=f(x)
So f (x) is a periodic function with a period of 4
Let t = x + 1, because f (x + 2) = - f (x), f (T + 1) = - f (t-1)
And f (x) is an odd function
-f(t-1)=f(1-t)
That is, f (1 + T) = f (1-T)
So x = 1 is the symmetry axis of the function y = f (x) image
When x ∈ [1,5],
Because x = 1 is the axis of symmetry,
So 1

What is the necessary and sufficient condition for f (x) = x (x + a) + B to be an odd function

f (-x )=-f (x)
-x [-x+a ]=x[x+a]
-[a-x ]=[x+a ]
Respectively square 4ax = 0
a=0

Given that the function f (x) = | AX-1 | - 2A (a > 0, and a ≠ 1) has two zeros, then the value range of a is______ ．

Let f (x) = | AX-1 | - 2A = 0, that is | AX-1 | = 2A. Function f (x) = | AX-1 | - 2A (a > 0, and a ≠ 1) has two zeros, that is, function y = | AX-1 | (a > 0, and a ≠ 1) has two intersections with the image of function y = 2A

What are the components of these two phrases in a sentence
I gave Mary a Christmas present.
What is the component of a Christmas present?
She is teaching children English.
children English.
What is the component in a sentence?
Do not understand, do not reach the level of please do not talk nonsense, so as not to mislead people

A Christmas present is the direct object and Mary is the indirect object

As shown in the figure, in the triangle ABC, BD and CE bisect the angles ABC and ACB respectively, Ag is vertical to BD first, AF is vertical to CE, and the perpendicular foot is GF respectively, ab = 9, BC = 12, AC = 7 to calculate FG

If we extend AG to BC in M and AF to BC in N, we can see that BG ⊥ am, CF ⊥ an, and ∵ BG bisecting ⊥ ABC, CF bisecting ⊥ ACB, ≁ ABM and ≁ ACN are isosceles triangles, ≁ AC = CN = 7, ab = BM = 9 ≁ Mn = BM + cn-bc = 9 + 7-12 = 4

Is there a plural form for dish, watch, tomato
Thanks

The plural form of a noun is usually followed by s: day, days, day, dog, dog, house, houses. S after P, K or F is read as / S /. In addition, s is read as / Z /. When s is added after CE, Ge, se or Ze, the pronunciation of the word should be

In △ ABC, if Sina = 2cosbcosc, then tanb + Tanc=______ ．

Tanb + Tanc = sinbcosb + sinccosc = sinbcosc + cosbsinccosc = sin (B + C) cosbcosc = sin (π − a) cosbcosc = sinacos bcosc = 2, so the answer is: 2

l _ meat,he _ Fish. Like or like

I like eat, he likes fish?

If the length of the hypotenuse of a right triangle is 2 larger than that of the right triangle, and the other right triangle is 6, then the height of the hypotenuse is______ ．

Let a right edge be a, then the hypotenuse is a + 2, ∵ the length of the other right edge is 6, ∵ (a + 2) 2 = A2 + 62, the solution is a = 8, ∵ a + 2 = 8 + 2 = 10, the height of the hypotenuse is 8 × 6 △ 2 × 2 △ 10 = 24 × 2 △ 10 = 4.8

A complete collection of English Antonyms

Catch up
Miss hit hit
More less, fewer less
The most is the most, the least is the fewest
Move stop
Many little
Never ever ever
Next next last last
Nobody everyone
Nothing nothing everything
Now then
Old old new old old young young
On continuous; in use off leave; interrupt
Open (d) close (d) close (d)
Over in Under on lower
Pain pleasure
Pass; fail; fail
Poor rich
Pull pull push
Quiet noisy
Rain dry
Right (of) left (of)
Right right wrong wrong
Sad sad glad happy
Safe and dangerous
Same different different
Short long
Short tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall tall
Sleep wake up
Slow (ly) full (ground) fast (ground)
Small, big, large, big
Start, end, finish
Start and reach