Аналитическая геометрия. Шурыгин В.В. - 4 стр.

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|a| = |b| 6= 0
A a
B
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AB = a
A a a
A
a =
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AB
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AB
a
a
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AB
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V
3
V
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−1 < x < 1
N
{1, 2, 3, . . .} Z {0, ±1, ±2, ±3, . . .}
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C[a; b]
[a; b]
.30 |a| = |b| =6 0 = H30 ~8-; b/* ,27*b* b*18-3 36b, ;*|L2 /-+-M=
   —;**8 ;*/8- /7*L2J}** -)*b0L,-*\ ,- -)*,? b6|,-*
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”Ž‰žŠ§ ¨Š©ª œ«Žž”œŽž ŽªŒž”Ž£ žŠ¤‰ B ž‰£¥ ¤žŠ −AB           →
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   ˆ8,-I*,0* 36b*,/8b6 36[+0b6*8 b/* b*18-3 ,6 176//            36b,N ;*|K
L2 /-+-M b*18-3-b= P6|LM 861-M 176// ,6[b6*8/9 ”Š¬Šª‘’ ”Ž‰žŠŠ’=
­b-+-L,M b*18-3 ;-|,- .3*L/86b798? 161 b*18-3\2 1-8-3-:- [6L6, L70K
,6 0 ,6.36b7*,0*\ ,- ,* [6O01/03-b6,6 ,6)67?,69 8-)16 ‚8-)16 .307-|*K
,09ƒ= { L67?,*MI*; +2L*8 .3*L.-768?/9\ )8- b/* 36//;6830b6*;* b*18-3
9b79J8/9 /b-+-L,;0\ 6 b 8-; /72)6*\ 1-:L6 ,2|,- [6O01/03-b68? ,6)67?K
,2J 8-)12 A ,*1-8-3-:- b*18-36 a \ +2L*; :-b-308?\ )8- b*18-3 a -87-|*,
-8 8-)10 A = ­-:76/,- bI*.30b*L*,,-;2 28b*3|L*,0J b/910M b*18-3 ‚/b-K
+-L,M®ƒ ;-|,- *L0,/8b*,,; /.-/-+-; -87-|08? -8 7J+-M 8-)10= ¯6.0K
/b68? ~8- +2L*; 0/.-7?[29 [,61 36b*,/8b6† a = −AB     → {*18-3 −→ .30 ~8-;
                                                         = ­ AB
+2L*; ,6[b68? .3*L/86b08*7*; /b-+-L,-:- b*18-36 a = b-+-L,M b*18-3
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a -L,-[,6 ,- -.3*L*79*8/9 7J+; /b-0; .3*L/86b08*7*; AB 161 176//
                                                                −→
b*18-3-b\ 36b,N b*18-32 −AB      →
                                     = °,-|*/8b6 /b-+-L,N b*18-3-b :*-;*830K
)*/1-:- .3-/836,/8b6 0 :*-;*830)*/1-M .7-/1-/80 +2L*; -+-[,6)68?\ /--8K
b*8/8b*,,-\ /0;b-76;0 V 0 V =
                            3     2

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H-,980* ;,-|*/8b6 9b79*8/9 -L,0; 0[ 0/N-L,N .-,980M ;68*;68010= °,-K
|*/8b- .3*L/86b79*8 /-+-M /-b-12.,-/8? ‚,6+-3ƒ -+*18-b 8-M 070 0,-M
.303-L\ 1-8-3* ,6[b6J8/9 ~7*;*,86;0 ~8-:- ;,-|*/8b6= €6.30;*3\
;,-|*/8b- -+36[2J8 b/* 8-)10 .7-/1-/80 070 b*}*/8b*,,* )0/76\ 2L-K
b7*8b-39J}0* ,*36b*,/8b2 −1 < x < 1 =
   ‡79 ,*1-8-3N )6/8- b/83*)6J}0N/9 ;,-|*/8b .30,98- 0/.-7?[-b68?
/86,L638,* -+-[,6)*,09 = „61\ N -[,6)6*8 ;,-|*/8b- b/*N ,682367?,N
)0/*7 {1, 2, 3, . . .} \ Z -[,6)6*8 ;,-|*/8b- b/*N *7N )0/*7 {0, ±1, ±2, ±3, . . .} \
                                          )
R · ;,-|*/8b- b/*N b*}*/8b*,,N 0/*7\ C · ;,-|*/8b- b/*N 1-;.7*1/K
,N )0/*7\ 6 C[a; b] · ;,-|*/8b- ,*.3*3b,N O2,1 0M\ -.3*L*7*,,N ,6
-83*[1* [a; b] =
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