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1.Èçͼ,Å×ÎïÏßW:y=4xÓëÔ²C:(x-1)+y=25½»ÓÚA,BÁ½µã,µãPΪÁÓ»¡ABÉϲ»Í¬ÓÚA,BµÄÒ»¸ö¶¯µã,ÓëxÖáÆ½ÐеÄÖ±ÏßPQ½»Å×ÎïÏßWÓÚµãQ,Ôò¡÷PQCµÄÖܳ¤µÄȡֵ·¶Î§ÊÇ( )

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A.(10,14) B.(12,14) C.(10,12) D.(9,11)

2.(2017ºþÄÏÏæÖÐÃûУÁª¿¼)ÒÑÖªÅ×ÎïÏßy=2px(p>0)µÄ½¹µãΪF,¡÷ABCµÄ¶¥µã¶¼ÔÚÅ×ÎïÏßÉÏ,ÇÒÂú×ã

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++=0,Ôò++= .

3.ÒÑÖªÍÖÔ²+=1(a>0,b>0)¹ýµã(0,1),Æä³¤Ö᳤¡¢½¹¾àºÍ¶ÌÖ᳤µÄƽ·½ÒÀ´Î³ÉµÈ²îÊýÁÐ.Ö±ÏßlÓëxÖáÕý°ëÖáºÍyÖá·Ö±ð½»ÓÚµãQ¡¢P,ÓëÍÖÔ²·Ö±ð½»ÓÚµãM¡¢N,¸÷µã¾ù²»ÖغÏÇÒÂú×ã(1)ÇóÍÖÔ²µÄ±ê×¼·½³Ì;

(2)Èô¦Ë1+¦Ë2=-3,ÊÔÖ¤Ã÷:Ö±Ïßl¹ý¶¨µã,²¢Çó´Ë¶¨µã.

=¦Ë

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4.ÒÑÖªÍÖÔ²+=1(a>b>0)µÄ×ó¡¢ÓÒ½¹µã·Ö±ðÊÇF1¡¢F2,ÆäÀëÐÄÂÊe=,µãPΪÍÖÔ²ÉϵÄÒ»¸ö¶¯µã,¡÷PF1F2Ãæ»ýµÄ×î´óֵΪ4(1)ÇóÍÖÔ²µÄ·½³Ì;

(2)ÈôA,B,C,DÊÇÍÖÔ²Éϲ»ÖغϵÄËĸöµã,ACÓëBDÏཻÓÚµãF1,

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(2)ÉèÖ±Ïßl½»Ö±Ïßx=4ÓÚµãQ,Ö¤Ã÷:|EB|¡¤|FQ|=|FB|¡¤|EQ|.

2.(2017ɽ¶«,21,14·Ö)ÔÚÆ½ÃæÖ±½Ç×ø±êϵxOyÖÐ,ÒÑÖªÍÖÔ²C:+=1(a>b>0)µÄÀëÐÄÂÊΪ,ÍÖÔ²C½ØÖ±Ïßy=1ËùµÃÏ߶εij¤¶ÈΪ2(1)ÇóÍÖÔ²CµÄ·½³Ì;

(2)¶¯Ö±Ïßl:y=kx+m(m¡Ù0)½»ÍÖÔ²CÓÚA,BÁ½µã,½»yÖáÓÚµãM.µãNÊÇM¹ØÓÚOµÄ¶Ô³Æµã,¨‘NµÄ°ë¾¶Îª|NO|.ÉèDΪABµÄÖеã,DE,DFÓ먑N·Ö±ðÏàÇÐÓÚµãE,F,Çó¡ÏEDFµÄ×îСֵ.

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1.C ×÷³öÅ×ÎïÏßµÄ×¼Ïß:x=-1. ¹ýµãQÏò×¼ÏßÒý´¹Ïß,´¹×ãΪH.

¹Ê|QC|=|QH|.

¡ßPCΪԲµÄ°ë¾¶,¡à|PC|=5.

¡à¡÷PCQµÄÖܳ¤=|PQ|+|QC|+|PC|=|PQ|+|QH|+5. ÓÖ¡ßPQÓëxÖáÆ½ÐÐ, ¡à¡÷PCQµÄÖܳ¤=|PH|+5.

¡ßµãPΪÁÓ»¡ABÉϲ»Í¬ÓÚA,BµÄ¶¯µã,A(4,4),B(4,-4), ¡à5<|PH|<7,¡à10<|PH|+5<12. ¡à¡÷PCQµÄÖܳ¤µÄȡֵ·¶Î§Îª(10,12). 2.´ð°¸ 0

½âÎö ÉèA(x1,y1),B(x2,y2),C(x3,y3),F,ÓÉ++=0,µÃy1+y2+y3=0.Ò×µÃkAB==,ͬÀí

kAC=,kBC=,ËùÒÔ++=++=0.

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3.½âÎö (1)ÉèÍÖÔ²µÄ½¹¾àΪ2c,ÓÉÌâÒâÖªb=1,ÇÒ(2a)+(2b)=2(2c), ÓÖa=b+c,ËùÒÔa=3.

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2

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2

ËùÒÔÍÖÔ²µÄ±ê×¼·½³ÌΪ+y=1.

(2)Ö¤Ã÷:ÓÉÌâÒâÉèP(0,m),Q(x0,0),M(x1,y1),N(x2,y2), Ö±ÏßlµÄ·½³ÌΪx=t(y-m), ÓÉ

=¦Ë

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Öª(x1,y1-m)=¦Ë1(x0-x1,-y1),

¡ày1-m=-y1¦Ë1,ÓÉÌâÒâµÃy1¡Ù0,

¡à¦Ë1=-1.

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