( )EBS문제집-수리

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윤후 학
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4 a 2 A={ } AB=2B 1 4 B a 03 æ10 yæ10 y y (log )( log y) Mm M+m { -2 1} f()=-{;4!;} +{;2!;} +5 Mm Mm a =1a«+a«=3n+1(n=1, 2, 3, y) {a«} a =6 a«-a«= a = a +20 k=1 k=1

5 a d {a«} n S«S =34S k+1 =35S k+2 =33 ka+d+k {a«} a«=(-1)«n (n=123y) {a«} n S«S «-S «=100 n S «+S «06 {a«} 2 2 {b«} b =-1 y= P(b, b ) a y= P b k+1 20 b k=1 ;3@;(4 10-1) ;4#;(4 10-1) ;5$;(4 10-1) ;3@;(2 10-1) ;4#;(2 10-1) 08 n =n y=3, y=2 A n B n A n y C n P(0, 1) PA n B n PA n C n S n, T n lim n ;6!; ;4!; ;3!; ;2!; 1 S n T n y C n P O A n =n y=3 B n y=2

6 {a n } a =1, a =2, a n a n+1 a n+2 ={;6!;} «(n=1, 2, 3, y) a 3n n=1 ;2 0; ;1 0; ;2 0; ;5!; ;4!; 11 y=f() y y= =-1, =3-0 f()- f() y y=f() -1 O 3 y= 10 y Pº(0, 0) P (2, 0) P PºP P P P 120 P P n P n-1 P n O Pº(0, 0) P (2, 0) 60 P n+1 P n ( n, y n ) lim n =;qp; p n qp+q 12 p A= AB =AC =1 ABC 4 AB P PAB=h APC S S h p p 12 8 p p 4 3 p 6 P B 1 h p 4 A 1 C

7 y+2=0 P (-1) +(y+1) =1 h cosh y= P y=- (>0) y=- a a 1 QR y=- a PQR a Q y O y= 1 P a y=- R (0, 1) 1 C a (a, 0) 2 C C C f(a) f(a) lim f(a)=2 a 0 c lim f(a)= lim f(a) a -c+0 a c-0 (a +ka)f(a) a k=2' O(0, 0), A(1, 0) C, C PQA(1, 0), B(2, 0) P 1 C Q 1 C PQ t PQ f(t) t= 2 3 p f(t) 1 ' '5 2 C P y t O -t Q '3 2 A C B

8 f()=cos (0 p) g() '2 2 1 :) d g'() (100+n) n a«(n=1 2 3 y 100 -;8 ;-;2!; -;8 ;-;4!; -;4 ;+;8!; a =a -;4 ;+;2!; ;8 ;-;2!; 50 a «=2 n=1 100 a«100 =2-1 n=1 n 18 y 1 B P n-1 1 P k AB n P (k=1 2 3 y P P n-1) P O A(1, 0) y n-1 1 S lim ;n!; n k=1 S B (01) ;ç!; ;ç@; ;ç#; ;5!; ;4!; ;1 0; ;2 0; ;5@; ;ç$; ;ç%;

9 031 y 21 2a A a A B 4a O B A m B f(m) [08] X f()p(0 X 48a) a 23 -a 7 f A= -1 2 P f(p)=qf(q)=r P PQR a ;2!; ;3@; ;4#; ;5$; ;6%; 22 m 4 16 z P(0 Z z) % m a b b-a=f() << (11) '2 PQ fpq Q O fáf (11+'2) (00) (11) (11-'2) (1+'2 1) ('2 '2) f(38.3)=1 f() f( )=2f( )=5 - <30

10 QA(-20) QA OQ P y 10 Q P(y) A P +py +q+ry+s=0 q+r-ps -2 O '3 A ABCD 1 BCD D B ABC, ACD, ABD C p 2p 3p 4p 5p 26 (12 +4y -3)(6-2y +3)=0 C C;{(y) y=m+1 m>0 } 4 m A(300)B(040)C{00;; 5 ;;} a b b AB b z D z ab b y D z ;5$; ;5^; ;5*; 2 ;; 5 ;;

11 l y =2y+1z= l yz =02y=3z-1 A P =lab +mad +nae, l (311) l (632) l y h cos h=;7#; l+m+n 3 P F A B C E G (, læ0, mæ0, næ0) D H. n=0 l+m 3 P ;2(;. l+m+n=3 P l+m+n 3 P ;2(;.,,,,

12 a a M=[{ } a+b=-1ab ] A<M b b B<M O AB=-A AB+BA=O B A =B 03 5 A, BA B a 2 A={ } AB=2B 1 4 B a 04 ka(k) k A(k)=[(, y) { }{ }={ }] 1 k-2 y-1 2 A(k) k A(k) l(k) (10, p) l(k) p

13 y y=log y= 8 a+c 4 b+c y O abcd y= y=log e A= + + +y+ log 10! log 10! log 10! log 10! ( 10!=10_9_8_y_2_1.) 0<A<1 1<A<2 2<A<3 3<A<4 4<A<5 a 3 c b 3 d b c 2 3b+d 2c 3a+c 2b c 3 e d 2 06 { -2 1} f()=-{;4!;} +{;2!;} +5 Mm Mm æ10 yæ10 y y (log )( log y) Mm M+m

14 a =1a«+a«=3n+1(n=1, 2, 3, y) {a«} 11 {a«} 2 2 {b«} a =6 a«-a«=3 b = a = a +20 k=1 k=1 y= P(b, b ) a y= P b k+1 20 b k=1 ;3@;(4 10-1) ;4#;(4 10-1) ;5$;(4 10-1) ;3@;(2 10-1) ;4#;(2 10-1) 10 mnk m n k m +n +k m 21 n 2 k 0 m m-n k k+1 m>0? m<0? m,n,k m m+n k k-1 12 {a«} a«=(-1)«n (n=123y) {a«} n S«S «-S «=100 n S «+S «

15 n =n y=3, y=2 A n B n A n y C n P(0, 1) PA n B n PA n C n y C n P O A n =n y=3 B n y=2 15 y Pº(0, 0) P (2, 0) P PºP P P P 120 P P n O Pº(0, 0) P (2, 0) P n-1 P n 60 S n, T n lim n S n T n ;6!; ;4!; ;3!; P n+1 P n ( n, y n ) pqp+q lim n =;qp; n ;2!; 1 14 {a n } a =1, a =2, a n a n+1 a n+2 ={;6!;} «(n=1, 2, 3, y) a 3n n=1 ;2 0; ;1 0; ;2 0; ;5!; ;4!; 16 y=f() y y y=g() y=g() O 1 O 1-1 y=f() lim g{f {1+;n!;}}=1 n lim (fág )()=1 1+0 f()g() =0

16 038 y 17 +(y-3) =9 y= 1 8 P(a0) y C +(y-3) =9 B y=;8!; A O P(a, 0) ABC PA PB lim { + } a +0 PB PC 19 y=f() y y=g() h()=f()-g() a O f(0)=g(0) y=g '() b c y=f '() ;2!; ;3@; ;4#; ;5$; ;6%; a<<b h() h() =b h()=0 18 f() f()= - =0 g ()= f() g ()= f() 20 P t =f(t) =f(t) c O a b d t f() (æ0) g ()= ª -f(-) (<0) ( 0 t d) P P f '(a) 0<t<a c<t<d

17 f()= +a +b+c 23 f() :#5 f()d f(-)=-f() f(-)=f() =a =b f(a)+a=f(b)+b :_1# f()d=4:_5! f()d=6 f(1)+f '(2) y=f() g()=:? +3 f(t)dt(-2 7) y 1 y=f() -2-1 O y= - (2 2) y= +3+a ;3!; ;2!; ;3@; ;6%; 1 g(-1)=;2!; g() ;2!; g() 2

18 X={12345}Y={123456} f X Y f 27 70% 40% 50% f(2)f(5)=12 X < f( )æf( ) ;4@3%; ;4@3^; ;4@3&; ;4@3*; ;4@3(; 26 1 a 3 28 b 1 3 a a=2b ;pq;(pq 2a -1-1 = y 1 2a -1 p+q P(y) OP OP <4 2 4 OP <9 4 OP æ9 6 O(00) OP ;; 3 ;; 5 ;; 3 ;; ;; 3 ;; 6

19 z P(0 Z z) N(50 5 ) 350 ml mL z P(0 Z z) ml 340 ml p1000p

20 Memo

미통기-3-06~07(052~071)

미통기-3-06~07(052~071) 06 F() f() F'()=f()F() f() : f()d f() f() f() f() F()f() F()+C : f()d=f()+c C F'()=f(): f()d=f()+c C d [: f()d]=f() d : k d=k+c k C : «d= + +C =0C + : k f()d=k: f()d k : { f() g()}d=: f()d : g()d =f()