Page 139 - الرياضيات المتقدمة كتاب الطالب للصف 11 الفصل 1

b Gb ^ Æar© {6 1.b d?Wb ç 2;N x- 'b X?cb f Ÿ .[ gb zB y2b

,1Vfa yb Y U1Ne
E:=7 E42 ] ±»C< R ± ¤Ð­ C Õ 7 C F:94 »P0: ±

Line segment
–û0 ;: ± E27 ´C= ±P ¯ P Ú Ò­ (› E427 ± Îb P b Z C ± û0 ±

û0 ;: ± E27 d ± E:=7 : ± E427 ± Îb Ò E27 Ò E:=7 : ± E4 C ± ³P b ±
Midpoint ˜“¢- –œ-’ –“ž –¡-’ `= ^0 ˜C<60 ;
³Rg±P9 E C4 ± ³»b0 ± ÔQ ± _=7 : ± ^= P Ú Ò­ ­ (œ –_=7 ^= P b Z C ± û0 ±
×
General form of a –“ –›-’ `=Ø 27; C R: ^= P b Ò E4 C ± ³P b ±
Û
circle .(œ –Ÿ’ Ô¹b:4 ± _=7 : ±

_=7 : ± ^= _=7 : ± ^= P Ú Ò­ ² ˜a=9
. _=7 : ± c9 Ô¹b:4 ±
Gradient of a straight
œ
line Ÿ — ½ § ¿ a ¹C4 _=7 ( ´„¹C4 R 6 Z C ± û0 ±
 Û
E ¼±b : ± ´C:=7 : ± ¤D ± d ± ´C:=7 : ± E4 C ± ³P b ±
˜_=7 : ± ^= ­
Parallel lines ³»bj d
»b : ± ` Ãb27: ± «S ± ²
³P C4 : ± ´C:=7 : ± –Ê • ½ Ï § ¿
˜Ô¹C0 ±
Perpendicular lines »b : ± ` Ãb27: ± «S ± ¶ ˜C< P Ò

³Rg±P ± S R ˜d;= ± ÎÐÕ

Center of a circle
d Ÿ — ½ ¢ — ½ Zh ­ (ž Û^ Ò –ÛZ R: ± ^:8 R/ Ô¹C ± û0 ±
œ
³Rg±P ± R2 û0 ˜^ C Z R ³»bj ˜E=4= R ± ´„¹C4: ± c ÒM± ³P b ±
Radius of a circle E ¹C4: ± Û^ ²
œ
³Rg±P ± ½C: š § Ÿ — ½ ¢ — ½

tangent to a circle d ³¹P : ± E Ò±S ± ½C= C (Ÿ ´C R3 ÏP R C4 ± û0 ±
E= C=7 ± ³»b0 ± ©^8 ^ ˜Rg±ÒP ± E4 ±R ± ³P b ±
Standard ³Rg±P9 ­

form of a circle

²

¶