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 1 4 5 Gbb_bylQ_S Gbb_= n @QR ^ 2 3 6 0 = L R 2   
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 1 4 6 QlQR~=   d - ( R - r )           YlQR~=   d - ( R + r )   
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 ؏	g NN'Y[.^eEQ'T	
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 [(u]wQ: 8^(upef[lQ_
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 lQ_R{|                                        lQ_h_  
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 XNlNV_R    a 2 - b 2 = ( a + b ) ( a - b )   a 3 + b 3 = ( a + b ) ( a 2 - a b + b 2 )   a 3 - b 3 = ( a - b ( a 2 + a b + b 2 ) 
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 	N҉
NI{_  | a + b | d"| a | + | b |   | a - b | d"| a | + | b |   | a | d"b < = > - b d"a d"b   
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                         | a - b | e"| a | - | b |   - | a | d"a d"| a |   
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  NCQN!kezv  - b + "( b 2 - 4 a c ) / 2 a     - b - "( b 2 - 4 a c ) / 2 a   
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 9hN|pevsQ|  X 1 + X 2 = - b / a   X 1 * X 2 = c / a   l旾[t  
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 $R+R_
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 b 2 - 4 a c = 0       lez	g$N*NvI{v[9h  
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 b 2 - 4 a c > 0       lez	g$N*N
NI{v[9h  
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 b 2 - 4 a c < 0       lezl	g[9h	gqQm
Ype9h  
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 	N҉QpelQ_  
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 $N҉TlQ_  
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 s i n ( A + B ) = s i n A c o s B + c o s A s i n B   s i n ( A - B ) = s i n A c o s B - s i n B c o s A   
 
 c o s ( A + B ) = c o s A c o s B - s i n A s i n B   c o s ( A - B ) = c o s A c o s B + s i n A s i n B   
 
 t a n ( A + B ) = ( t a n A + t a n B ) / ( 1 - t a n A t a n B )   t a n ( A - B ) = ( t a n A - t a n B ) / ( 1 + t a n A t a n B )   
 
 c t g ( A + B ) = ( c t g A c t g B - 1 ) / ( c t g B + c t g A )   c t g ( A - B ) = ( c t g A c t g B + 1 ) / ( c t g B - c t g A ) 
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P҉lQ_  
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 t a n 2 A = 2 t a n A / ( 1 - t a n 2 A )   c t g 2 A = ( c t g 2 A - 1 ) / 2 c t g a   
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 c o s 2 a = c o s 2 a - s i n 2 a = 2 c o s 2 a - 1 = 1 - 2 s i n 2 a   
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 JS҉lQ_  
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 s i n ( A / 2 ) = "( ( 1 - c o s A ) / 2 )   s i n ( A / 2 ) = - "( ( 1 - c o s A ) / 2 )   
 
 c o s ( A / 2 ) = "( ( 1 + c o s A ) / 2 )   c o s ( A / 2 ) = - "( ( 1 + c o s A ) / 2 )   
 
 t a n ( A / 2 ) = "( ( 1 - c o s A ) / ( ( 1 + c o s A ) )   t a n ( A / 2 ) = - "( ( 1 - c o s A ) / ( ( 1 + c o s A ) )   
 
 c t g ( A / 2 ) = "( ( 1 + c o s A ) / ( ( 1 - c o s A ) )   c t g ( A / 2 ) = - "( ( 1 + c o s A ) / ( ( 1 - c o s A ) ) 
 
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 T]Sy
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 2 s i n A c o s B = s i n ( A + B ) + s i n ( A - B )   2 c o s A s i n B = s i n ( A + B ) - s i n ( A - B )   
 
 2 c o s A c o s B = c o s ( A + B ) - s i n ( A - B )   - 2 s i n A s i n B = c o s ( A + B ) - c o s ( A - B )   
 
 s i n A + s i n B = 2 s i n ( ( A + B ) / 2 ) c o s ( ( A - B ) / 2   c o s A + c o s B = 2 c o s ( ( A + B ) / 2 ) s i n ( ( A - B ) / 2 )   
 
 t a n A + t a n B = s i n ( A + B ) / c o s A c o s B   t a n A - t a n B = s i n ( A - B ) / c o s A c o s B   
 
 c t g A + c t g B s i n ( A + B ) / s i n A s i n B   - c t g A + c t g B s i n ( A + B ) / s i n A s i n B 
 
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 gNpeRMRn yT
 
 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + & + n = n ( n + 1 ) / 2   1 + 3 + 5 + 7 + 9 + 1 1 + 1 3 + 1 5 + & + ( 2 n - 1 ) = n 2   
 
 2 + 4 + 6 + 8 + 1 0 + 1 2 + 1 4 + & + ( 2 n ) = n ( n + 1 )   1 2 + 2 2 + 3 2 + 4 2 + 5 2 + 6 2 + 7 2 + 8 2 + & + n 2 = n ( n + 1 ) ( 2 n + 1 ) / 6   
 
 1 3 + 2 3 + 3 3 + 4 3 + 5 3 + 6 3 + & n 3 = n 2 ( n + 1 ) 2 / 4   1 * 2 + 2 * 3 + 3 * 4 + 4 * 5 + 5 * 6 + 6 * 7 + & + n ( n + 1 ) = n ( n + 1 ) ( n + 2 ) / 3   
 
 
 
 ck&_[t    a / s i n A = b / s i n B = c / s i n C = 2 R   l  vQ-N  R   h:y	N҉b_vYcWJS_
 
 
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 YO&_[t    b 2 = a 2 + c 2 - 2 a c c o s B   l҉B /fa Tc v9Y҉
 
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 WvhQez    ( x - a ) 2 + ( y - b ) 2 = r 2   la , b 	/fW_PWh  
 
 Wv N,ez    x 2 + y 2 + D x + E y + F = 0   lD 2 + E 2 - 4 F > 0   
 
 bir~hQez  y 2 = 2 p x   y 2 = - 2 p x   x 2 = 2 p y   x 2 = - 2 p y   
 
 
 
 vhgOby    S = c * h   ehgOby  S = c ' * h       
 
 ckh%Oby    S = 1 / 2 c * h '   ckhSOby    S = 1 / 2 ( c + c ' ) h '       
 
 WSOby    S = 1 / 2 ( c + c ' ) l = p i ( R + r ) l   tvhby    S = 4 p i * r 2       
 
 WgOby    S = c * h = 2 p i * h   W%Oby    S = 1 / 2 * c * l = p i * r * l   
 
 
 
 '_lQ_    l = a * r   a /fW_҉v'_^per   > 0   Gbb_bylQ_    s = 1 / 2 * l * r   
 
 
 
 %SOSOylQ_  V = 1 / 3 * S * H   W%SOSOylQ_  V = 1 / 3 * p i * r 2 h       
 
 ehgSOy    V = S ' L         lvQ-N, S ' /fv*bbby  L /fOh    
 
 gSOSOylQ_  V = s * h   WgSO    V = p i * r 2 h   
 
 