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sSa b 1 鰁 I{鱏b藌 Eea$R`b藌1u嶯( a b ) e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( \ f ( 1 , a ) \ f ( 1 , b ) ) ) 2 e q \ f ( b , a ) e q \ f ( a , b ) e"2 2 e q \ r ( \ f ( b , a ) \ f ( a , b ) ) 4 .
S_N臢S_ e q \ f ( a , b ) e q \ f ( b , a ) sSa b 鰁I{鱏b藌 Eeb$R`b藌S_a 3 鰁 a 2 9 6 a Eec$
NR`b藌
鼅
N `$a$b$cknx
8 騗鍂a > 0 b > 0 Bl翄 e q \ f ( a 2 , b ) e q \ f ( b 2 , a ) e"a b .
翄f5"a > 0 b > 0
4" e q \ f ( a 2 , b ) b e"2 e q \ r ( \ f ( a 2 , b ) b ) 2 a e q \ f ( b 2 , a ) a e"2 e q \ r ( \ f ( b 2 , a ) a ) 2 b
4" e q \ f ( a 2 , b ) b e q \ f ( b 2 , a ) a e"2 a 2 b
4" e q \ f ( a 2 , b ) e q \ f ( b 2 , a ) e"a b S_N臢S_a b 鰁 I{鱏b藌
9 騗鍂x y 龕/fckpe Bl翄( x y ) ( x 2 y 2 ) ( x 3 y 3 ) e"8 x 3 y 3 .
翄f5"x y 龕/fckpe 4"x 2 > 0 y 2 > 0 x 3 > 0 y 3 > 0
4"x y e"2 e q \ r ( x y ) > 0
x 2 y 2 e"2 e q \ r ( x 2 y 2 ) > 0 x 3 y 3 e"2 e q \ r ( x 3 y 3 ) > 0 .
4"( x y ) ( x 2 y 2 ) ( x 3 y 3 ) e"2 e q \ r ( x y ) 2 e q \ r ( x 2 y 2 ) 2 e q \ r ( x 3 y 3 ) 8 x 3 y 3
sS( x y ) ( x 2 y 2 ) ( x 3 y 3 ) e"8 x 3 y 3 S_N臢S_x y 鰁 I{鱏b藌
I N C L U D E P I C T U R E " I : \ \ 媠 w\ \ 2 0 2 0 \ \ Tek\ \ pef[\ \ 癳YePg\ \ pef[篘A 臺頞,{ N孮\ \ D O C \ \ 鼅T袕(u. T I F " \ * M E R G E F O R M A T I N C L U D E P I C T U R E " I : \ \ 媠 w\ \ 2 0 2 0 \ \ Tek\ \ pef[\ \ 癳YePg\ \ pef[篘A 臺頞,{ N孮\ \ w o r d \ \ 鼅T袕(u. T I F " \ * M E R G E F O R M A T I N E T I N C L U D E P I C T U R E " I : \ \ 媠 w\ \ 2 0 2 0 \ \ Tek\ \ pef[\ \ 癳YePg\ \ pef[篘A 臺頞,{ N孮\ \ w o r d \ \ 鼅T袕(u. T I F " \ * M E R G E F O R M A T I N E T I N C L U D E P I C T U R E " \ \ \ \ 媠 w\ \ i \ \ 媠 w\ \ 2 0 2 0 \ \ Tek\ \ pef[\ \ pef[篘A 臺頞,{ N孮癳YePg \ \ hQfN孾te剉W o r d Hr噀ch\ \ 鼅T袕(u. T I F " \ * M E R G E F O R M A T I N E T I N C L U D E P I C T U R E " \ \ \ \ 0 T硞\ \ e \ \ 2 0 2 0 t^\ \ Tek\ \ pef[ 篘YeA Hr 臺頞,{ N孮癳YePg s| \ \ hQfN孾te剉W o r d Hr噀ch\ \ 鼅T袕(u. T I F " \ * M E R G E F O R M A T I N E T I N C L U D E P I C T U R E " C : \ \ U s e r s \ \ A d m i n i s t r a t o r \ \ D e s k t o p \ \ 鼅T袕(u. T I F " \ * M E R G E F O R M A T I N E T
1 0 鍌0 < a < b Na b 1 R NR踁*Npe-N g'Y剉/f ( 0 0)
A . e q \ f ( 1 , 2 ) B a 2 b 2 C 2 a b D a
T{HhB
銐恎a 2 b 2 ( a b ) 2
2 a b e"( a b ) 2
2 e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( \ f ( a b , 2 ) ) ) 2 e q \ f ( 1 , 2 ) . a 2 b 2
2 a b ( a
b ) 2 e"0
4"a 2 b 2 e"2 a b . 5"0 < a < b Na b 1 4"a < e q \ f ( 1 , 2 ) . 4"a 2 b 2 g'YEe 怋 .
1 1 NR
NI{_ N歔b藌剉/f ( 0 0)
A x e q \ f ( 1 , x ) e"2 B . e q \ f ( x 2 2 , \ r ( x 2 2 ) ) e" e q \ r ( 2 ) C . e q \ f ( x 2 3 , \ r ( x 2 4 ) ) e"2 D 2
3 x
e q \ f ( 4 , x ) e"2
T{HhB
銐恎A y-N S_x < 0 鰁 x e q \ f ( 1 , x ) < 0 < 2 4"A 曪B y-N e q \ f ( x 2 2 , \ r ( x 2 2 ) ) e q \ r ( x 2 2 ) e" e q \ r ( 2 ) 4"B cknxC y-N S_x 0 鰁 e q \ f ( x 2 3 , \ r ( x 2 4 ) ) e q \ f ( 3 , 2 ) < 2 4"C 曪D y-N 諷x 1 , 2
3 x
e q \ f ( 4 , x ) < 2 4"D 曪
Ee 怋 .
1 2 . ( Y 悩) 緥a > 0 b > 0 NR
NI{_-NR`b藌剉/f ( 0 0)
A . a 2 1 > a B . e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( a \ f ( 1 , a ) ) ) e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( b \ f ( 1 , b ) ) ) e"4 C . ( a b ) e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( \ f ( 1 , a ) \ f ( 1 , b ) ) ) e"4 0D . a 2 9 > 6 a
T{HhA B C
銐恎1u嶯a 2 1
a e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( a
\ f ( 1 , 2 ) ) ) e q \ s \ u p 1 2 ( 2 ) e q \ f ( 3 , 4 ) > 0 EeA R`b藌
1u嶯 e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( a \ f ( 1 , a ) ) ) e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( b \ f ( 1 , b ) ) ) a b e q \ f ( 1 , a b ) e q \ f ( b , a ) e q \ f ( a , b ) e"2 e q \ r ( a b \ f ( 1 , a b ) ) 2 e q \ r ( \ f ( b , a ) \ f ( a , b ) ) 4 . S_N臢S_ e q \ b \ l c \ { ( \ a \ v s 4 \ a l \ c o 1 ( a b \ f ( 1 , a b ) , \ f ( b , a ) \ f ( a , b ) ) )
sSa b 1 鰁 b藌 EeB R`b藌1u嶯( a b ) e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( \ f ( 1 , a ) \ f ( 1 , b ) ) ) 2 e q \ f ( b , a ) e q \ f ( a , b ) e"2 2 e q \ r ( \ f ( b , a ) \ f ( a , b ) ) 4 .
S_N臢S_ e q \ f ( a , b ) e q \ f ( b , a ) sSa b 鰁 b藌 EeC R`b藌 a 2 9 e"6 a S_N臢S_a 3 鰁 b藌. Ee 怉 B C .
1 3 鍌a > 0 b > 0 a b 2 R NR
NI{_`$a b d"1 a$ e q \ r ( a ) e q \ r ( b ) d" e q \ r ( 2 ) b$a 2 b 2 e"2 c$ e q \ f ( 1 , a ) e q \ f ( 1 , b ) e"2 鵞醤硩ag鯪剉a b R`b藌剉/f_ _ _ _ _ _ _ _ ( kX廭鱏)
T{Hh`$b$c$
銐恎郪:Na b d" e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( \ f ( a b , 2 ) ) ) 2 1 S_N臢S_a b 1 鰁 I{鱏b藌 @b錘`$cknx
郪:N( e q \ r ( a ) e q \ r ( b ) ) 2 a b 2 e q \ r ( a b ) 2 2 e q \ r ( a b ) d"2 a b 4 Eea$
Ncknx
@b錘 e q \ r ( a ) e q \ r ( b ) d"2 S_N臢S_a b 1 鰁 I{鱏b藌
a 2 b 2 e" e q \ f ( (餫 b )2 , 2 ) 2 S_N臢S_a b 1 鰁 I{鱏b藌 @b錘b$cknx
e q \ f ( 1 , a ) e q \ f ( 1 , b ) e q \ f ( a b , a b ) e q \ f ( 2 , a b ) e"2 S_N臢S_a b 1 鰁 I{鱏b藌 @b錘c$cknx
齹汻衏GS
1 4 . ( pef[噀S) N齎鰁 gu=r(W
0筫W鑜 0-N鵞歔t剉翄f颯(u皊鉔pef[h堭:N俌@b:y b霳YePg-N)R(u鍕翄f ( 0)
A . 俌済a > b b > c HNa > c
B . 俌済a > b > 0 HNa 2 > b 2
C . 鵞鸑ack瀃pea 孴b ga 2 b 2 e"2 a b S_N臢S_a b 鰁I{鱏b藌
D . 俌済a > b c > 0 HNa c > b c
T{HhC
銐恎颯\魐覊 N覊b_剉$N魐覊箯曋S\Oa b 渆箯:Nc ( c 2 a 2 b 2 ) . RY鬡剉ck筫b_剉b楋y:Nc 2 _N1\/fa 2 b 2 踁*N魐覊 N覊b_@b(W剉4杚_b楋yKN孴R}Y:N2 a b .
鵞鸑ack瀃pea 孴b ga 2 b 2 e"2 a b S_N臢S_a b 鰁I{鱏b藌. Ee 怌 .
1 5 騗鍂a b c /f$N$N
NI{剉瀃pe Rp a 2 b 2 c 2 Nq a b b c c a 剉'Y\sQ鹼_ _ _ _ _ _ _ _
T{Hha 2 b 2 c 2 > a b b c a c
銐恎5"a b c 扤
N鴙I{
4"a 2 b 2 > 2 a b b 2 c 2 > 2 a c a 2 c 2 > 2 a c .
4"2 ( a 2 b 2 c 2 ) > 2 ( a b b c a c )
sSa 2 b 2 c 2 > a b b c a c .
1 6 騗鍂a b 龕/fckpe Bl翄 e q \ f ( 2 , \ f ( 1 , a ) \ f ( 1 , b ) ) d" e q \ r ( a b ) d" e q \ f ( a b , 2 ) d" e q \ r ( \ f ( a 2 b 2 , 2 ) ) .
翄f 05" e q \ f ( 1 , a ) e q \ f ( 1 , b ) e"2 e q \ r ( \ f ( 1 , a b ) )
4" e q \ f ( 1 , \ f ( 1 , a ) \ f ( 1 , b ) ) d" e q \ f ( 1 , 2 \ r ( \ f ( 1 , a b ) ) ) sS e q \ f ( 2 , \ f ( 1 , a ) \ f ( 1 , b ) ) d" e q \ r ( a b ) .
萐5" e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( \ f ( a b , 2 ) ) ) 2 e q \ f ( a 2 2 a b b 2 , 4 )
d" e q \ f ( a 2 a 2 b 2 b 2 , 4 ) e q \ f ( a 2 b 2 , 2 )
4" e q \ f ( a b , 2 ) d" e q \ r ( \ f ( a 2 b 2 , 2 ) ) .
萐1u鶺,g
NI{_梍 e q \ f ( a b , 2 ) e" e q \ r ( a b )
Ee e q \ f ( 2 , \ f ( 1 , a ) \ f ( 1 , b ) ) d" e q \ r ( a b ) d" e q \ f ( a b , 2 ) d" e q \ r ( \ f ( a 2 b 2 , 2 ) ) ( S_N臢S_a b 鰁 I{鱏b藌)
1 7 騗鍂a b c /fhQ
N鴙I{剉ck瀃pe Bl翄 e q \ f ( b c
a , a ) e q \ f ( a c
b , b ) e q \ f ( a b
c , c ) > 3 .
翄f 0郪:Na b c hQ
N鴙I{
@b錘 e q \ f ( b , a ) N e q \ f ( a , b ) e q \ f ( c , a ) N e q \ f ( a , c ) e q \ f ( c , b ) N e q \ f ( b , c ) hQ
N鴙I{
@b錘 e q \ f ( b , a ) e q \ f ( a , b ) > 2 e q \ f ( c , a ) e q \ f ( a , c ) > 2 e q \ f ( c , b ) e q \ f ( b , c ) > 2
N_鴙燫梍 e q \ f ( b , a ) e q \ f ( c , a ) e q \ f ( c , b ) e q \ f ( a , b ) e q \ f ( a , c ) e q \ f ( b , c ) > 6
@b錘 e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( \ f ( b , a ) \ f ( c , a )
1 ) ) e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( \ f ( c , b ) \ f ( a , b )
1 ) ) e q \ b \ l c \ ( \ r c \ ) ( \ a \ v s 4 \ a l \ c o 1 ( \ f ( a , c ) \ f ( b , c )
1 ) ) > 3
sS e q \ f ( b c
a , a ) e q \ f ( a c
b , b ) e q \ f ( a b
c , c ) > 3 .
宎 b (b 坆 Fc 朿 鯿 Jd 巇 竏 e 鴈 刯 鴍 dk nk Dl 發 0m .n 8n
J
勔 dh G$ `勔 gdK#
4 勔 dh G$ `勔 gdK#
J
dh G$ gdK# b b b (b *b Fb Hb Vb Xb ^b `b bb db rb tb zb |b ~b 坆 宐 巄 恇 碽 禸 糱 綽 耣 腷 芺 萣 蹉踮辛械辛辛械辛檸~r~arSrara hm hK# 5丠*PJ aJ j hm hK# 5丳J UaJ hm hK# 5丳J aJ hm hK# 5丱J PJ QJ aJ hK# 5丳J aJ o( hX ^ hK# 5丱J QJ aJ hm hK# 5丱J QJ aJ hm hK# 5丠*aJ j hm hK# 5乁aJ hm hK# 5乤J hK# 5乤J o( "h,Y hK# 5丱J QJ ^J aJ o( hX ^ hK# 5乤J 萣 躡 辀 阞 靊 鬮 鯾 c c c c c c c c ,c .c :c