ä¸æ¬¡å½æ°çå¾åç»è¿ç¹A(3,2),B(-1,-6)两ç¹
两ç¹å¼ï¼(y-2)/(x-3) = (y+6)/(x+1)
(x-3) (y+6) = (y-2)(x+1)
xy+6x-3y-18 = xy-2x+y-2
8x-4y-16 = 0
ç´çº¿ABçç´çº¿æ¹ç¨ï¼2x-y-4 = 0
å°Påæ ï¼2nï¼4n-4ï¼ä»£å
¥2x-y-4 = 0å¾ï¼2*2n-(4n-4)-4 = 0ï¼4n-4n+4-4 = 0æç«
æ以Pç¹å¨ç´çº¿ABä¸ã
æ ¹æ®ç¹çº¿è·ç¦»å
¬å¼ï¼Oå°ABçè·ç¦»ï¼d = |0-0-16|/âï½8^2+(-4)²}=16/â80 = 4/â5
ä¸è§å½¢OAPé¢ç§¯çäº4ï¼1/2*|AP|*d = 1/2*|AP|*(4â5)=4
|AP| = 2â5
â{ [ (4n-4) - 2 ]² + [ 2n - 3 ]² ï½ = 2â5
(4n-6 ]² + ï¼2n - 3 )² = 50
4ï¼2n - 3 )² + ï¼2n - 3 )² = 50
ï¼2n - 3 )² = 10
2n-3=屉10
n=(3+â10)/2ï¼1ï¼èå»
â´n=(3-â10)/2
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