Page 155 - الرياضيات المتقدمة كتاب الطالب الصف 12 الفصل 2

b Gb ^ Æ{j b {6 1.b d?Wb ç 2;N {j b X?cb f.[ gb Ÿ zB y2b

›I›— § ¼ C P; Ò –›I› § ¼ C P; E C ± ÐC hb ÐC= Š± Ð 8/ ±

˜`=Ø=; ;: ± F `=Ø C : ± R ­ d24 ÎÒP ± d “¼’ ¹ E:=
{Oz Gb Py3s b Æ kf b .&sb b Gb ^ Æ{j b {6 1.b d?Wb ç 2;N {j b X?cb f.[ gb Ÿ zB y2b b Gb ^ Æ{j b {6 1.b d?Wb ç 2;N {j b X?cb f.[ gb Ÿ zB y2b

(١٫١) د = (١٫١- ز) ل (١٫١) د - ١= (١٫١ ز) ل

¾ "y i (١٫١) د - ١ = (١٫١- ز) ل ›I›— § ¼ C P; Ò –›I› § ¼ C P; E C ± ÐC hb ÐC= Š± Ð 8/ ±›I›— § ¼ C P; Ò –›I› § ¼ C P; E C ± ÐC hb ÐC= Š± Ð 8/ ±
- ƒM 6 „e (١٫١) د = (١٫١ ز) ل
˜`=Ø=; ;: ± F `=Ø C : ± R ­ d24 ÎÒP ± d “¼’ ¹ E:= ˜`=Ø=; ;: ± F `=Ø C : ± R ­ d24 ÎÒP ± d “¼’ ¹ E:=
dg±b/ R=5 : a ­ RÛ Q ` E:= ^8 “ ¼’ ¹ _= d24 ÎÒP ± ÐA –CÕ »C=4 CÕ=4= CÕ4 ¼b Z “¼’ R=5 : ± ÐC ±º¯
›
(١٫١) د = (١٫١-
–Ðb8 ^0 (١٫١) د = (١٫١- ز) ل ز) ل (١٫١) د - ١= (١٫١ ز) ل (١٫١) د - ١= (١٫١ ز) ل
¤E= Š± ´C 4 ± D –š ¼ G= – ¼ _=
–“ ¼ ¼’ Î § “ ¼ ¼’ › ›
› ›
١٫١-
˜“ ¼ ¼’ § “ ¼ ¼’ “ ¼’ ¹ § “ ¼ ¼’ Ă (١٫١) د - ١ = (١٫١- ز) ل (١٫١) د - ١ = (١٫١- ز) ل ٠ ٠ ١٫١
(١٫١) د = (١٫١
› › › › (١٫١) د = (١٫١ ز) ل ز) ل
“œ’ ^8/ ± “›’ ^8/ ±
“ ¼ ¼’ —› § “ ¼ ¼’ Ă
› ›
“ ¼’ ¹ — › = ¤“›’ ^8/ ± d
›
“ ¼ ¼’ - › § “ ¼ — ¼’ Ă ١٫١-١٫١- ٠٠ ¤d ŠC ÎÒP ± ` ³R C E993: ± E C : ± ¹C ± ];8:
٠ ١٫١١٫١
٠
› ›
“ ¼’ ¹ — › = “œ’ ^8/ ±“œ’ ^8/ ± “›’ ^8/ ±“›’ ^8/ ±
“›I›’ ¹ § “›I› ¼’
›
“ ¼ ¼’ § “ ¼ — ¼’ Ă šI¢ ž =
› › ¤“›’ ^8/ ± d ¤“›’ ^8/ ± d
“ ¼’ ¹ § ¤d E993: ± R= E C : ± –› ÔÒC c; ;: ± F E C : ±
› ¤d ŠC ÎÒP ± ` ³R C E993: ± E C : ± ¹C ± ];8: ¤d ŠC ÎÒP ± ` ³R C E993: ± E C : ± ¹C ± ];8:
“›I›’ ¹ — › § “›I› ¼’
“›I›’ ¹ § “›I›
“›I›’ ¹ § “›I› ¼’ ¼’
`  e šI¢ ž - › = ÎÒÑ
šI¢ ž = šI¢ ž =
šI›Ÿ¡ =
¤P Ò? –“› –š’ Á ~ ¼ Э F:9 ±º¯ ¤d E993: ± R= E C : ± –› ÔÒC c; ;: ± F E C : ±¤d E993: ± R= E C : ± –› ÔÒC c; ;: ± F E C : ±
š § ¼ _=7 : ± Îb ^ C: c; ;: ±
“›I›’ ¹ — › § “›I›
“›I›’ ¹ — › § “›I› ¼’ ¼’
“›- ¼’ ² “œI›› ¼’ ­
ÎÒÒ c; ;: ± c9 ^0 –š § ¼ _=7 : ± Îb “›’ ^8/ ± d c; ;: ± ^ C: F: » ±º¯ ÎÒÑÎÒÑ
šI¢ ž - › = šI¢ ž - › =
“šI¢›- ¼ ›I £-) ¹ “œI›› ¼ ›-) ¶
˜“œ’ ^8/ ± d ¹b b: ±
šI›Ÿ¡ = šI›Ÿ¡ =
£ † c&a ¤“œ’ ^8/ ± d
š § ¼ _=7 : ± Îb ^ C: c; ;: ±š § ¼ _=7 : ± Îb ^ C: c; ;: ±
­
¤a=9 Ò –“›’ ^8/ ± d E993: ± E C : ± C< 6 d E993: ± E C : ±
c; ;: ± c9 ^0 –š § ¼ _=7 : ± Îb “›’ ^8/ ± d c; ;: ± ^ C: F: » ±º¯ c; ;: ± c9 ^0 –š § ¼ _=7 : ± Îb “›’ ^8/ ± d c; ;: ± ^ C: F: » ±º¯
˜“œ’ ^8/ ± d ¹b b: ±˜“œ’ ^8/ ± d ¹b b: ±
“›I›’ ¹ § “›I› ¼’
“œI››’ ¹ P ÎÒP ± ÏP ±
¤“œ’ ^8/ ± d ¤“œ’ ^8/ ± d
šI¢ ž =
¤a=9 Ò –“›’ ^8/ ± d E993: ± E C : ± C< 6 d E993: ± E C : ±¤a=9 Ò –“›’ ^8/ ± d E993: ± E C : ± C< 6 d E993: ± E C : ±
٠ ٢٫١١ ¤a=9 Ò –“›’ ^8/ ± d E993: ± R= E C : ± C< 6 d E993: ± R= E C : ±
“œI››’ ¹ § “œI›› ¼’ “›I›’ ¹ — › § “›I›-
“›I›’ ¹ § “›I› ¼’ ¼’
“›I›’ ¹ § “›I› ¼’
šI£¢œ = šI¢ ž - › =
šI¢ ž = šI¢ ž =
¤a=9 Ò –“›’ ^8/ ± d E993: ± R= E C : ± C< 6 d E993: ± R= E C : ±¤a=9 Ò –“›’ ^8/ ± d E993: ± R= E C : ± C< 6 d E993: ± R= E C : ±
šI›Ÿ¡ =
G= –d4= 2 ± c; ;: ± ^ C: ÏP ± ²
: ¼ § ¼ C P; –aÛ ­ E3 : ± `8: Ò
“›I›’ ¹ — › § “›I›-
“›I›’ ¹ — › § “›I›- ¼’ ¼’
^= : ± ûh­Ò –“› ¼’ § “›- ¼’ ›
“ ¼ — ¼’ § “ ¼ ¼’
˜^ C: ± N=hb šI¢ ž - › = šI¢ ž - › =
› ›
šI›Ÿ¡ = šI›Ÿ¡ =
“ ¼ — ¼’ § “ ¼ ¼’
› ›
١- ٠
:
: ¼ § ¼ C P; –aÛ ­ E3 : ± `8: Ò¼ § ¼ C P; –aÛ ­ E3 : ± `8: Ò
› ›
“› ¼’ = “›- ¼’
“
“ ¼ — ¼’ § “ ¼ ¼’ ¼ — ¼’ § “ ¼ ¼’
› › › ›
“›’ ¹ §
“ ¼ — ¼’ § “ ¼ ¼’ “ ¼ — ¼’ § “ ¼ ¼’
› › › ›
šI¢ž› =

11-038 MOE book 33.indd 154 25/12/2023 4:36 PM