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\(y'=\dfrac{\left(-2x+2\right)\left(x-3\right)-\left(-x^2+2x+c\right)}{\left(x-3\right)^2}=\dfrac{-x^2+6x-6-c}{\left(x-3\right)^2}\)
\(\Rightarrow\) Cực đại và cực tiểu của hàm là nghiệm của: \(-x^2+6x-6-c=0\) (1)
\(\Delta'=9-\left(6+c\right)>0\Rightarrow c< 3\)
Gọi \(x_1;x_2\) là 2 nghiệm của (1) \(\Rightarrow\left\{{}\begin{matrix}-x_1^2+6x_1-6=c\\-x_2^2+6x_2-6=c\end{matrix}\right.\)
\(\Rightarrow m-M=\dfrac{-x_1^2+2x_1+c}{x_1-3}-\dfrac{-x_2^2+2x_2+c}{x_2-3}=4\)
\(\Leftrightarrow\dfrac{-2x_1^2+8x_1-6}{x_1-3}-\dfrac{-2x_2^2+8x_2-6}{x_2-3}=4\)
\(\Leftrightarrow2\left(1-x_1\right)-2\left(1-x_2\right)=4\)
\(\Leftrightarrow x_2-x_1=2\)
Kết hợp với Viet: \(\left\{{}\begin{matrix}x_2-x_1=2\\x_1+x_2=6\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x_1=2\\x_2=4\end{matrix}\right.\)
\(\Rightarrow c=2\)
Có 1 giá trị nguyên
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= 154 . 235 + 154 . (-35)
= 154 . [ 235 + (-35)]
= 154 . 200
= 30800
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like playing soccer, don't you
goes to school late, doesn't he
can swim very well, can't you
is going to the party, isn't she
was published in Germany in 1550, wasn't it
are sold all over the world, aren't they
have been built this year, haven't they
was given a book, wasn't he
were bought by Mrs Brown yesterday, weren't they
is used everyday, isn't it
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1/ Gọi x là hóa trị của nguyên tố cần tìm. Áp dụng quy tắc hóa trị:
a) Fe2O3 : x.2=II.3 => x=III
CuO : x.1=II.1 => x=II
N2O3 : x.2=II.3 => x=III
SO3: x.1=II.3 => x= VI
b) NH3 : x.1=I.3 => x=III
C2H2 : C hóa trị IV, H hóa trị I ( do trong hợp chất hữu cơ, hóa trị của C luôn là IV)
HBr : I.1=x.1 => x=I
H2S: I.2=x.1 => x=II
c)K2S: x.2=II.1 => x=I
MgS : x.1=II.1 => x=II
Cr2S3 : x.2=II.3 => x=III
CS2: x.1=II.2=> x=IV
d) KCl: x.1=I.1=> x=I
HCl: x.1= 1.I => x=I
BaCl2 : x.1=I.2 => x=II
AlCl3 : x.1=I.3 => x=III
e) ZnCO3 : x.2=II.1 => x=II
BaSO4 : x.1=II.1 => x=II
Li2CO3 : x.2=II.1 => x=I
Cr2(SO4)3 : x.2=II.3 => x=III
f) NaOH : x.1=1.I => x=I
Zn(OH)2 : x.1=I.2 => x=II
AgNO3 : x.1=I.1 => x=I
Al(NO3)3 : x.1=I.3 => x=III
2.a) HCl : H(I), Cl(I)
H2S: H(I), S(II)
NH3 : N(III), H(I)
H2O : H(I), O(II)
CH4: C(IV), H(I)
b) NO: N(II), O(II)
N2O: N(I), O(II)
NO2: N(IV), O(II)
N2O5: N(V), O(II)
HNO3 : H(I), NO3 (I)
Ca(NO3)2 : Ca(II), NO3 (I)
NaNO3: Na(I), NO3 (I)
Al(NO3)3: Al (III),NO3 (I)
c) CaO: Ca(II), O(II)
K2O: K(I), O(II)
MgO : Mg(II), O(II)
Na2O: Na(I), O(II)
Al2O3: Al(III), O(II)
d) SO2: S(IV) ,O(II)
SO3: S(VI), O(II)
Na2S: Na(I), S(II)
FeS: Fe(II), S(II)
Al2S3: Al(III), S(II)
H2SO4: H(I), SO4(II)
CuSO4: Cu(II), SO4(II)
Al2(SO4)3: Al(III), SO4(II)
e) P2O5: P(V), O(II)
H3PO4: H(I), PO4(III)
Na3PO4: Na(I), PO4(III)
Ca3(PO4)2: Ca(II), PO4(III)
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uses crt;
var st:string;
d,i:integer;
begin
clrscr;
readln(st);
d:=length(st);
for i:=1 to d do
if (st[i] in ['0'..'9']) then write(st[i]);
readln;
end.
a: Ta có: A và E đối xứng nhau qua Ox
nên OA=OE(1)
Ta có: A và B đối xứng nhau qua Oy
nên OA=OB(2)
Từ (1) và (2) suy ra OE=OB