, ALGEBRA Z GEOMETRIA¾ ANALITYCZNA, skp,, algebra z geomerrią 1 

ALGEBRA Z GEOMETRIA¾ ANALITYCZNA

ALGEBRA Z GEOMETRIA¾ ANALITYCZNA, skp,, algebra z geomerrią 1
[ Pobierz całość w formacie PDF ]
2<863A2G86?=6CA9d22>2<9CF4G>d2
EY_^YZRPL]HXPHUZ^R[XY[
GHKHUPH_SPYZ^V_UHJ_VULN]PH_KRdH !!YdHUPLJVZX[KUPLQY_LHSIVTHQdHJOHXHRZLXZLVXLZ^J_U^$:LK#
UHRUPL]^JOVK_dHWV_HWXVNXHTR[XY[$?KWV]PLK_PKV_HKHbU_SPYZ^TV
c
_UH_]LX^`RV]HbJ_HWVTVJdH
WXVNXHTe]RVTW[ZLXV]^JO$9YZUPLQL]PLSLWXVNXHTe]KVVISPJ_LbUU[TLX^J_U^JOPY^TIVSPJ_U^JO$@XV#
NXHT^ZLTV
c
_UH]^RVX_^YZHbJUW$KVX^YV]HUPH]^RXLYe]M[URJQP"VISPJ_HUPHNXHUPJJPdHNe]PM[URJQP"]^_#
UHJ_HUPHJHfLRPWVJOVKU^JO"XV_]PdH_^]HUPHXe]UHbUHSNLIXHPJ_U^JOPXe
c
_UPJ_RV]^JO"IHKHbUYZHZ^YZ^#
J_U^JO$@VSLJHT^YZXVUdLPUZLXULZV]dH2B?9D4@)C;4VXH_KHXTV]LWXVNXHT^/,4J<@4",<6DBEB9F
,4F;8@4F<6E"-6F4H8"C4><8F/"04:8"06<?45"HZHR
c
_LWXVNXHT^WfHZUL/*8D<H8",4F;8@4F<64"
,4F?45",4C?8"06<8AF<M62BD>.4?68$
D_KVSUPVU^JOYZ[KLUZe]_HJOdLJHT^KV[K_PHf[]LN_HTPUHJOUHVJLUdLJLS[QdHJdH_HSNLIX^PHUHSP_^$
GHKHUPH_Z^JOLN_HTPUe]TV
c
_UH_UHSL
b
_bJUHYZXVUPLPUZLXULZV]LQ
;FFC($$III#<@#CID#IDB6#C?$>GDEK"B:B?ABG6L8?A<4A8$B68AK"68?G=468#;F@?
-CD46BI4A<8(7D,4D<4A+8I8DF!7B6#35<:A<8I0>B6LK?4E
<PYZH_HKHbU
E^XH
c
_LUPHHSNLIXHPJ_UL$9UK[RJQHTHZLTHZ^J_UH
0FG78A6<IK7L<4QPI2%!2&BD4L2'BCD46BIG=O4F8A@4F8D<4QE4@B7L<8?A<8#
&$@VKH
b
JWX_^RfHK^SPJ_IX_LJ_^]PYZ^JOC#D#@#AVXH_SPJ_IUHZ[XHSU^JO;#:#KSHRZeX^JOA<8L4"
6;B7LO4WVKHULXe]UVbYJP/
4 C"D!
$
/C
$
"D
$
.5
,
,
,
C"D/
C"
D.6?9< C"D!/?9<C"?9<D.
7ZN%C/%ZNC. 8
2
"
0
/
1!/
2!0
. 9 ;":!/;":"
'$?ISPJ_^
b
JS[I[WXV
b
YJP
b
J]^XH
c
_LUPH/
?
>
=
&
!
%
#
.6
&
'
!
!
&
!
'
.7
1
2
!
3
4
%
"
%
!
%
%
.5
#$
"
C
#'
D
#)
.9
" ""#
#"
!
1
2
"
3
.8
D
C
$
"
#""
$
"
($?ISPJ_^
b
J/
>
>
>
*
#
+
.5
%
#"
$)
. 6
!
(
#
#(
"
4
)$@VKHUL]^XH
c
_LUPH_HWPYHbJ]WVYZHJPWVZdLNP%/
4'
$
+
%
.5%
%
!
. 6'
"
>
=
,
,
%.8
!
#
$
%$
#
+. 7
%
#(
.9
$
"
*$E^fdHJ_^bJJ_^UUPRYWVK_UHR[WPLX]PHYZRH/
>
>
,
,
,
,
$'"
&&
!
4
*%.5
*#
.6
!
$)%.7
&C
&
.8
$)3
+
.9
!
'
%
"
+$E^RVUHbJ]YRH_HULK_PHfHUPH/
H @"A!
$
@A!
$
.5
&
'
1
!2
2
%C
- C
$
D
$
!.
;
<
&
'
&
'
&
'
&
.7
&
(
6
3"4!
'
"$
&
''(
"
&
!&(!(
&
 ,$@VKHUL[fHTRP[]VSUPbJVKUPL]^TPLX
U
VbYJP]TPHUV]UPR[/
4
$
#
#
%
#
%
.5
(
!
#
$
.6
##
$
$
. 8
'
%
.7
$!#
"
'
#
#
#
#
%!
-$EYRH_HbJ]PdLRY_dH_SPJ_I]bYXeKWVKHU^JOWHX/
4%
#%
#'
)
.5
,
$%
,
,
$&
,
$$#
$%.
,
,
&.8%
,
,
,
6,
$"
#%*
#%
.7
$
&#
%
&+#
&*"
&,"
.$DWXVbYJPbJ]^XH
c
_LUPH/
4
1
*
1
. 8
&
'
"
&
"
!$&%'
"
.6
1
!
!$1
2
!2
!
1
&
.5
&
!$)'
1
#
!2
#
.7
1
#
'&
"
#
#
&%$!D_HYHKUPbJ"
c
_LWVKHULSPJ_I^YdHUPL]^TPLXUL/
4
,
,
&
,
%.6:=8
$
&76=?
#$
"
(.5
&&$GHWVTVJdHPUK[RJQPTHZLTHZ^J_ULQ[_HYHKUPbJ"
c
_LKSHRH
c
_KLQSPJ_I^UHZ[XHSULQ;_HJOVK_dHZV
c
_YHTVbYJP/
4$"&""""" %;$!/;
$
.
5
#
# $
"
#
$ %
"""""
#
--!#
/
-
-!#
.
6$"&"""""&
-#
/
#
$
&
-
$!.
;
<
$
--!#
$
7$
%
"%
%
""""";
%
/
"
&'$=LZVKdHPUK[RJQPTHZLTHZ^J_ULQ[_HYHKUPbJUPLXe]UVbYJP/
4%
-
% ;
$
KSH; (.
5
#
#
"
#
$
"""""
#
-
%
#
-
KSH; % .
6;%%
-
KSH; '.
7 $"C!
-
$";CKSHC $VXH_; % UPLXe]UVbYbJ3LXUV[SSPLNV 0
8;$
-
-
$
KSH; )"
&($@VRH_HbJ"
c
_LKSHRH
c
_KLQSPJ_I^UHZ[XHSULQ;SPJ_IH/
4;
'
; QLYZWVK_PLSUHWX_L_(.
5+
-
")QLYZWVK_PLSUHWX_L_*"
&)$!D_HYHKUPbJ"
c
_L;WXVYZ^JOTV
c
_LWVK_PLSPbJWfHY_J_^_UdLUHTHRY^THSUPL
--!#
$
"$VIY_HXe]$>H
PSLVIY_HXe]WfHY_J_^_UdLTV
c
_UHWVK_PLSPbJ;VRXdLNHTP1
&*$GHYZVYV]HbJ]_eXK][TPHUV]^>L]ZVUHKV]^XH
c
_L
b
U/
4 %C"D!
&
.5
5
,
,
,
)
'
C"
#
1
%
. 6
.7
@"
!
A!
*
"
&+$!;VX_^YZHQdHJ_L]_VX[K][TPHUV]LNV>L]ZVUHVISPJ_^bJY[T^/
9
9
9
-
-
-
-
+
-
+
-
+
$!
+
"
%
+
.6
4
.5
+,"
+,"
+,"
#'
3
%
"
#
&
_UHSLb_bJ]YWefJ_^UUPRYZVQdHJ^WX_^3
'
.
&,$4EXV_]PUPdLJP[K][TPHUV]^T]^XH
c
_LUPH
&
'
,
,
)
C
'
%
1
5EXV_]PUPdLJP[K][TPHUV]^T]^XH
c
_LUPH
!
_UHSLb_bJ]YWefJ_^UUPRYZVQdHJ^WX_^
!
C"
8LVTLZXPHHUHSPZ^J_UHUHWfHY_J_^
b
_UPL
0FG78A6<IK7L<4QPI2%!2&BD4L2'BCD46BIG=O4F8A@4F8D<4QE4@B7L<8?A<8#
'
 &-$>PLJO- / %#'!#
-
!/ $#'!"E^_UHJ_^bJ]LRZVX-(/
%
$
- %
-
!"
&.$CXeQRdHZQLYZXV_WPdLZ^UH]LRZVXHJO- #
-
!"E^XH_P
b
J
b
YXVKRV]LZLNVZXeQRdHZHWX_L_]LRZVX^- #
-
!"
'%$>PLJO-'
"
#-'
#
IdLKdH]LRZVXHTP]VK_dHJ^TPVKWV]PLKUPVW[URZe]&#'VXH_UPLJOW[URZ.K_PLSP
VKJPULR&']YZVY[UR[%-&"GUHSLb_bJ]LRZVX]VK_dHJ^W[URZ[."
'&$!GHWVTVJdHXHJO[UR[]LRZVXV]LNVWVRH_HbJ"
c
_LbYXVKRPIVRe]KV]VSULNVJ_]VXVRdHZHYdH]PLX_#
JOVfRHTPXe]UVSLNfVIVR[$
''$E^_UHJ_^bJJVYPU[YRdHZH"QHRPZ]VX_dH]LRZVX^/
4-(/ $#%!#-)/ &#(!.
5-(/ $#$!#-)/ $#*!"
'($Ae]UVSLNfVIVRQLYZXV_WPdLZ^UH]LRZVXHJO- / &#'!#
-
!/ $#%!$E^_UHJ_^bJRdHZVYZX^TPdLK_^
WX_LRdHZU^TPXe]UVSLNfVIVR[$
')$5f[NVbYJP]LRZVXe]- #
-
!]^UVY_dHVKWV]PLKUPV&#("GUHT^PSVJ_^TYRHSHXU^- "
-
!/%"?ISPJ_^bJ
&
'
&
'
-
-
!
%- "&
-
!
"
"
'*$@VRH_HbJ"
c
_LJ_]VXVRdHZV]PLX_JOVfRHJO&/ ###!#'/ (#%!#(/ &#*!#)/ %#(!QLYZ
R]HKXHZLT$
'+$E^_UHJ_^bJXe]UHUPLWXVYZLQ"RZeXHWX_LJOVK_PWX_L_W[URZ./ $#&!PZ]VX_^RdHZ$%#
.
_
KVKHZUPdHJ_dLbYJPdHVYP-C"
',$>HWPYHbJXe]UHUPLWXVYZLQWX_LJOVK_dHJLQWX_L_W[URZ^.
#
/ %#&!#.
$
/ &#*!"
'-$GUHSLb_bJWX_LJPdLJPHWXVYZLQ
*
C/'%?#
D/)"?#
NK_PL? %!#
_VYPHTP[RfHK[]YWefX_dLKU^JO$4_^W[URZ./ '#*!UHSL
c
_^KVWXVYZLQ1
9-
'.$GUHSLb_bJW[URZ]YWeSU^WXVYZ^JO/
*
*
C/$?#
C/%?#
8-
D/&"?#
NK_PL? %!# 9-
D/&?#
NK_PL? %!#
(%$GUHSLb_bJXe]UHUPLWXVYZLQ"RZeXHWX_LJOVK_PWX_L_W[URZ./ $#%!PQLYZ
4Xe]UVSLNfHKVWXVYZLQ&CD"%/#.
5WXVYZVWHKfHKVWXVYZLQC"D/#"
(&$5SHQHRPLQ]HXZV
b
YJPWHXHTLZX[:#VKSLNfV
b
Y
b
JW[URZe]./ $##!P// :"&#%!QLYZXe]UH'0
('$E^_UHJ_^
b
JVKSLNfV
b
Y
b
JW[URZ[.
"
/ '#$!VKWXVYZLQ9VXe]UHUP[&C"'D"$%/#"
(($GUHSLb_bJVKSLNfVbYbJWXVYZ^JOXe]UVSLNf^JO9
#
# 9
$
VXe]UHUPHJOVKWV]PLKUPVC%D/## &C")D
$(/#"
()$?ISPJ_^bJ]^YVRVbYbJZXeQRdHZHV]PLX_JOVfRHJO&/ ###!#'/ $#&!#(/ %#(!VW[Y_J_VUdH_
]PLX_JOVfRH("
(*$!GUHSLb_bJXe]UHUPHK][YPLJ_U^JORdHZe]]^_UHJ_VU^JOWX_L_WXVYZLVXe]UHUPHJO&C"'D %/
##'C&D"(/#"
;X_^]LYZV
c
_RV]L
0FG78A6<IK7L<4QPI2%!2&BD4L2'BCD46BIG=O4F8A@4F8D<4QE4@B7L<8?A<8#
(
(+$>HWPYHbJXe]UHUPLVRXdLN["RZeXLNVbYXLKUPJdHQLYZVKJPULRVRVbUJHJO&/ $#&!"'/ (#*!"
(,$E^_UHJ_^bJ]YWefX_dLKULbYXVKRHPWXVTPL
b
UVRXdLN[C
$
'C"D
$
")D"%/#"
(-$GUHSLb_bJXe]UHUPLVRXdLN[VWPYHULNVUHZXeQRdHJPL&'(V]PLX_JOVfRHJO&/ ###!"'/ +##!"
(/ ##)!$
(.$GUHSLb_bJXe]UHUPLVRXdLN["RZeX^WX_LJOVK_PWX_L_W[URZ^./ &#'!"// (#%!PTHbYXVKLRUHVYP
-C$
)%$E^_UHJ_^
b
JXe]UHUPLVRXdLN["RZeX^QLYZYZ^J_U^KVVI[VYP[RfHK[]YWefX_dLKU^JOVXH_WX_LJOVK_P
WX_L_W[URZ&/ (#+!"9SLXV_]PdH_HbUTH_HKHUPL1
)&$GUHSL
b
_bJXe]UHUPLYZ^J_ULQVRXdLN[C
$
"D
$
/%(/
4]W[URJPL &#'!.
5WX_LJOVK_dHJLQWX_L_W[URZ (#$#!.
6Xe]UVSLNfLQKVWXVYZLQCD'/#.
7WXVYZVWHKfLQKVWXVYZLQC"%D/#"
)'$E^_UHJ_^
b
JVYPL"]YWefX_dLKULVNUPYRVXH_TPTV
b
YXeKLSPWY^
C
$
$)
"
D
$
,
/$"
)($@[URZ^+
#
/ (##!#+
$
/ (##!YdHVNUPYRHTPLSPWY^$GUHSL
b
_bJXe]UHUPLZLQLSPWY^"QL
c
_LSP]PKVTV"
c
_LQLKU^T_QLQ]PLX_JOVfRe]QLYZW[URZ1/ ##&!
))$>HY_RPJV]HbJLSPWYdLVXe]UHUP['C
$
+C",D
$
"&)D"'/#"
)*$E^_UHJ_^bJVYPL"]YWefX_dLKULVNUPYRVXH_Xe]UHUPHHY^TWZVZOPWLXIVSP
C
$
$''
D
$
%(
/$"
)+$>HX^YV]HbJOPWLXIVSdL]XH__HY^TWZVZHTP/
4
D"(!
$
$)
C
%!
$
,
/$.
5'C
$
%(D
$
"+C/#"
),$E^_UHJ_^bJ]YWefX_dLKULVNUPYRH"]PLX_JOVfRHVXH_WVKHbJXe]UHUPLRPLXV]UPJ^WHXHIVSPVXe]UH#
UP[/4D
$
/$%C.5D/C
$
")C"
)-$>HWPYHbJXe]UHUPLWHXHIVSP"RZeXLQ/
4RPLXV]UPJdHQLYZWXVYZHD/%#HW[URZ1/ $#)!#]PLX_JOVfRPLT0
5RPLXV]UPJdHQLYZWXVYZHC/$#HW[URZ1/ (#$!#]PLX_JOVfRPLT$
).$!:HRPLRX_^]LWX_LKYZH]PHQdHXe]UHUPH/
4C
$
D
$
"'/#.5 CD!
$
/$.6C
$
"D
$
/%CD0
=HJPLX_L
)
 *%$5SHWVKHU^JOWHXTHJPLX_^&#']^RVUHbJQLbYSPZVQLYZTV
c
_SP]L ]YRH_HULK_PHfHUPH&&
#
$
'# &
%
#
&'# '&# &
$
/
(
)
(
)
$'
%#
# )
+%
4 &/
# '/
.
!
$&%
"
!
"
5 &/
# '/
%'#
.
-
/
$
.
0
!
"
#
&
#
6 &/
# '/
%$#(
.
-
.
-
.
$#$
%$'
&#%
%#
'$
#&
/
0
/
0
7 &/
# '/
"
*&$AV_]PdH_HbJXe]UHUPLTHJPLX_V]L
+
-
.
,
-
.
$#
&&
%(
'&
#)
$%
7
/
0
8
/
0
&
2
/2"
"
*'$GUHSLb_bJUPL]PHKVTLC#D#EYWLfUPHQdHJLXe]UHUPL
(
)
(
)
%
C"%D"&
& #
&)
D E
%
/
"
*($@VKHbJWX_^RfHK^THJPLX_^R]HKXHZV]^JO&#'#RZeXLYWLfUPHQdHWVKHUL]HX[URP/
4 &' &/'&.5 &'/
#HSL& &/
#' &/
. 6 &
$
/
#HSL& &/
"
*)$!D_HYHKUPbJ"
c
_LPSVJ_^U/
4THJPLX_^KPHNVUHSU^JOZLNVYHTLNVYZVWUPHQLYZTHJPLX_dHKPHNVUHSUdH0
5PSVJ_^UTHJPLX_^ZXeQRdHZU^JOKVSU^JOZLNVYHTLNVYZVWUPHQLYZTHJPLX_dHZXeQRdHZUdHKVSUdH$
**$!@VRH_HbJ"
c
_LRH
c
_KdHTHJPLX_R]HKXHZV]dHTV
c
_UHWX_LKYZH]PbJQLKUV_UHJ_UPLQHRVY[TdLTHJPLX_^
Y^TLZX^J_ULQ
&
%
/&
PHUZ^Y^TLZX^J_ULQ
&
%
/&
$>HWPYH
b
JZVWX_LKYZH]PLUPLKSHTHJPLX_^
-
/
#$' %
.
0
&(% +
%'&'
)## $
'/
"
*+$!=HJPLX_LR]HKXHZV]L&#'YdHWX_LTPLUUL"Z_U$YWLfUPHQdHXe]UVbYbJ&'/'&"@VRH_HbJ"ZV
c
_YHTVbYJP/
H &'! &"'!/&
$
'
$
.I '&!
$
/&
$
'
$
. J &
$
'
%
/'
%
&
$
"
*,$5SHWVKHU^JOTHJPLX_^&VISPJ_^
b
J&
-
KSHRPSRHWVJ_dHZRV]^JOSPJ_IUHZ[XHSU^JO;#UHYZdLWUPL
]^Y[UdHbJOPWVZL_dLVWVYZHJPZ^JOWVZdLNP[_HYHKUPbJQdH_HWVTVJdHPUK[RJQPTHZLTHZ^J_ULQ/
-
.
-
.
-
.
$##
#%#
##&
%#%
#%#
%#%
$$#
#$$
##$
/
0
/
0
/
0
4 &/
.5 &/
.6 &/
"
*-$E_IPVX_LTHJPLX_^X_LJ_^]PYZ^JO_UHSL
b
_bJ]Y_^YZRPLXV_]PdH_HUPHWVKHU^JOXe]UH
b
U/
(
)
(
)
(
)
'#
#,
##
##
#$
$#
4 2
$
/
.5 2
$
/
62
$
/
"
E^_UHJ_UPRP
*
[ Pobierz całość w formacie PDF ]
  • zanotowane.pl
  • doc.pisz.pl
  • pdf.pisz.pl
  • dodatni.htw.pl