1. Trang chủ
  2. » Giáo án - Bài giảng

chuen de bdhsg hinh 9

13 170 0

Đang tải... (xem toàn văn)

Tài liệu hạn chế xem trước, để xem đầy đủ mời bạn chọn Tải xuống

THÔNG TIN TÀI LIỆU

Thông tin cơ bản

Định dạng
Số trang 13
Dung lượng 142,5 KB

Nội dung

   ! "#$%&' "#(%)*+%,&-./0$1 23&+%$&')%4( 56%)&')$%&')&-$ $&')&7-8"&')*%'9%:1;!&')&3&') &<=%/ *%$%>&?@%4!%ABC 4$&%$%9 1 2'&)/0$3 %D(%5 E+ %$ 2$F@ -%GHI%E4(%)B98%J%6% (%&!&+%-: KL%/&3%)H) "#' &>M$N$%M$N&OGJ GJN%(%(%P %4B&-"#!(%$L%/&3 %)H)18L%/QGM&R&5: ;!&N(%&3&'%6&>(%P +L %SSL  G 4L G 5O%,B6 @ H)&-+L %1 2JTL -(%L%/%)H)%,3  $ ,&34%,(%P L %4%,T(%H5P 1111 9%D%,BO%$S%')-TL%/%)59 >1 U%!5 # "#L%/%)&>H)!%!55 L P %NP (%&=&')+%4EVWBX"#$% G54/0$4N4YN&!&+1VW-%'% !)X "#%4G &-Z%!"#%*P @"# 54%*P 6)%4')%.+"#1111  H)N-TH&'H)4TH -%'%/%?G 4% %/G A! H)1  ;$F@ (%/0$4AB6 -4B6  4%[GJ5> $+-N8G4G4%4%:F@ 3G\Q 4&RBO+ %)$4F@ -   I. Ton chng minh:   :] @Q 8&O%^Q 4-Q : :] @ *-8K&%^ *-4%)$ *: :] @GG B:] @%^ D:] @&RP     ! "#$8%)$L_%)$&3 _%)$ * L_%4%L44TE%4%4  *:1 %&'()*+ ,-./ 0123 45678(9 :;35-<<2=>7? @&;35<2=>7? II. Ton tnh ton: 1/&`B&O%^4%/&`B 4&`B&%a K1/B@%/ U1/- III. Ton qu tch: 1] %/5&%^ K1] %/5&%a1 IV. Ton bt đng thc, cc tr trong hnh hc   ! "#$%&'(%)*+%' :;H)$P @N :;H)P @Q  b2'H)K&O%^Q %-%' ;H)K%)$Q ;H)KO+%)$L4%)$ *L4%)$&3 2%^&P % &')O+%)$GG O%HK1 K /6%%L$+- ;O+$%H$&?@%8"%L44T E%4%4 *: #cBS5D%4%)$&RBO4%/6%&L$&'H )$%[GJ&O%^Q /6%%N%L)+%)$ /6%&% %\+&O%^ /6%K%(% (Y% 2/ *-BL+&%a KBLK Q +&%a 11111111111111111111111111111 b2'H)K-Q %-%' ;H)K%)$Q V-G5D%4&R=+K&%^GG K-9S499-%H ;H)K-+%)$L4%)$ *L4%)$&3 /6%U&L$+%)$ /6%K%(% (Y% V-+$%H$&?@%8"%L44%: /6%%4 * V-`%(4-%O.%%(% (BL4--&d% &%a1 111111 :;H)P @ *- 2'H)K&%^ *-%-%' e9&=f ;H)&%^ *-%K&%^G G% *-&a5O1 "%L$+K-39 2% % (8L$:%%)$L4%)$&3 4%)$  *L1 )$-%gK-Qhi i 1 )$-&% % (HOQcO61 2=5Fj%& /6%%\%L)+%)$ /6%&% %\+&O%^1 "&k *4% 2/&P &')/T+BL%&%a V-`%(Yc&%a H$`%( U 1111111 :;H)P @GG 2'H)K&%^GG%-%'H) "-G5D%8&R=:Q "-%9/9 2% +%)$4+% "&%^9*-&%^%H "&%^9GGG&%^%H /6%O&J4TE%4%4 * 2=5F5D%& 1111111 B:;H)U&')%^ 2'H)U&')%^%-%'H) V-%O.U&')Qli i K-.=%/&J&dQ mn-d-%L$ mn&O%^d-&% %\ &3o5% ] &')d-&%^ *-&%^&7 9)`%c)?%^H%p0d-)`%%pqG -0pqr) i  #c  BS%/6%%N%L)4%\%L)4U&L$% %)$ 111111 D:;H)U&%^&RP  2'H)U&%^&RP %-%' e\%/6%$&%%)$ e\%/6%&k4% ;H)K%U&% `&%^a5O K1;H)%H$`%( gK-&JQli i  ,K&dK&da5OBK-Q  s&d+)`%%H$$&3 &d V-+%H$Q-%%O&d&JB@ ;H)%,t&')%.59% `)`%&%a11111 U1;H)%(% (+& %ae\B6 @ E(%8] @  *-: s1;H)@%H e9&=5F%5D%4%)$&RBO4%/6%&L$ ;$@%H5>%%)$ * s "@%HTO-%%)$ * t1;H)$&?@% :)$L  )$-KOQ )$-K-Q )$-&&R%5% % (?L$111111 :)$&3  )$-UOQ )$-U-Q )$-K-Qui i )$L--Qui i :)$ *L )$ *-KOQ )$ *--Qst i )$-K-Qst i B:"%L "%-K-3&$Q "%-K&kQ "%-%S&J0H D:"tB6 @ v:"TE%sB6 @ :"%sB6 @ :" *tB6 @ u1;H)%/6%&J0H 2J0H%S 2J0H%L) w1;H)%)$&RBOe\&3GcBS9>$% >&RBO+%)$&'H)1 l;H)&%^8%a:5 *&P &')J&=;"#0$&= &>( %JJ&=4( %J*&g4( %J%&g%,&-k5k& %$H)&P &')J&=3%$MH)%L $+-4H)K&%^GG4&%^ *-4 H)&?@%41111111 h1;H)&O%^4--&`B*&g"#!E(%&> T( %JJ&=4( %J*&g4(%B\&$&O%^4-&-* &g%(%,&-k5k '%%$H)$P @M 1 i1;H)%/K&O%^-&`B*&g;"#%6&>%\ 6%/5H)$@%H%N4B-T( %J t %&gT( %JJ&=-%'&O%^&--&`B%&g %/+<5 **&g1 "#$%,-%',#$% :/&`B e\$@%H5>%%)$ * ] @TO-%%)$ * 2% +%)$4+% )$&RBO4&=5F5D%4%/6%&L$ 111111111 :/B@%/e\*%H%/B@%/$ :/- V-+T%)$&?@% e9%[GJ5>$+-N "#$%./0,-&' (%"#' %$P %/5x-T( %JJ&= T( %J '&`%-T&')%&g%D4-5 * O%DP &O&-)%%)0D)& '&`+- %(12)- 'B`5)`%&J&="#%) &>)JP @+&')!%)P %/T&')J&=1 M%g%*)+( H K5OP %/&-5 1^ %\+&O%^ L$+- 2%^GG$&3 K1a;$&')J&=)`%*&gyi zK&')J&=B)`%-*&g1 82?@%%>K&')J&=B- *: 2'5)%$P %/"#-B\&$P %/Q$/ 0$U=%/$ +&') '&`%6$8-%'0k%$=%/ &?@%:&'0D)P %/+&')!%)% `5O%^%a4%,&-&=  '%,%$P %/%%$M18;-3 %$P  %/6%&M"#-%'%64*!%*P !B\ &$)6%%: 1"#$%23,45%),'(&6&7&,89,8#%)':%'';& #cBS6%&^%H;G?6%&^%HBO K K K s 8 : K8 :$  $  $ ≤ + ≤ + e6 {r{0r #cBS%/6%&/5BL56%%&%a #cBS6%&^%H%%)$ #cBSP @&0( u <=>? @A1BCD E<@FDG< H+B23%i)NKiitKiiu ;&')qQ)8p4|:1,q}&%^B*&P pY%8p4|: %O~;8~Q)Tpq:1;$%(% (8p4|:%O~;Y% %O e1}e" *-qp8"% `qp:4~"Y% ~;•%Om1€5 +pe~;1;H) : e"p;5%H$`%( : p"1pqrp€1pe : ;H)qm5%(% (+8p: H+I23%i)NKiiuKiiw ;U&')q4~4;%^8~Q)Tq;:2%a8p  :& /q~&%a8p K :&/~;1"&')L@%m4z5!5>% % `&%a8p  :8p K :G-m~zrhi i 1j5+qm;z1 :;H)mzrj~ :•5% &')+mz1;H)m4z%&g%K& %a%•5 *Q)%&%aJ&= :;H)qmz;5%H$`%(%j~5%(% (  +K&%a8p  :8p K : JH+,KL%),7;K&%a8p  :8p K :%(0<%O~4P ~ &/~q+8p  :&/~;+8p K :1mz5%(% (  +K&%a8m% `8p  :4z% `8p K ::1qm;zY% %Oj1 :;H)p  mp K z :;H)m~zj5TE%~j5%(% ( +K &%a8p  :8p K : :;H)qmz;5%H$`%( B:p5% &')+q;4•5+mz~j12%^P p  *-q;&%^P •GGpjY% %O"1 ;H)"5%L)&%aO%(%H$qmz;1  H+M23%i)NKiiwKiil )$q~;`%(&%a8p:8‚:12%^P q *- ~;Y%~;%O"Y%8p:%Oe8$q:1%)$q~e& q1•5% &')+q1 :;H)"•e :~•Y%&%a8p:%O€4H)q€"•5%H$`%( :€"Y%8p:%Om4%(% (+8p:%OqY%&%^~; %Oz1;H)%)$"zp&*BO%)$"z€ H+N23%i)NKiilKiih w ;8p:&%^B*&P pY%8p:%OK&')L@%q~1 ] mQ)%B.8p:}K%(% (m;me8p:8;4e5$ %(&'): :;H)m;pe5%H$`%( :;H)%)$m;q&RBO%)$m~; :q;1~erqe1~; B:mB '%BH)%L)&%aO%(%) $m;e5 *Q)%)`%&%^J&= H+O23%i)NKiihKii ;c&%a8p:&/q~1,q~K%(% (q0~ c&%a1,m6%ƒ%c&%a%(% (%HUY%q04 ~5!5>%%O€„1  :;H)rhi i :;H)%)$€p„&RBO%)$mq~ :5+q„~€4H)m *-q~ B:~(%m~r U mq1q~r1/B@%/%)$q~ H+P23%i)NKiiKi ; ∆ q~;N`%(%&%a8p:-&`BOq~$&`B Oq;_$&qm4~z4;j%\%L)"_}&/qe1 : ;H)e; ⊥ ;q : ;H)e;r~"";r~e : ;H)%N%L)+ ∆ q"e5%N%L)+ ∆ q~; B: (% (%O&')q&%a8p:Y%$&~z4;j 5!5>%%O€1;H)~€;5%H$`%(1 H+Q23%i)NKiKiK ,&')q.&%a8p:}K%(% (qmqz&%a 8m4z5$%(&'):1qpY%8p:%O~;G~Q)Tqp_• 5+qpmz :;H)%)$qmzL;mr;z :;H)mq1m~rq~1;m :;H) AB CB AD CD =  K K BA DA B DC = B:2%a&/m•Y%&%a8p:%O$m4H ) BE FE ⊥  <=>? @A1BCDG  l H+R23%id$~KiiKKiiU )$q~; *%Oq1zc&%a&/q~Y%~;%Oe1  qe56&')€4J~€kBY%q;%O„ :;H);e€„5%H$`%( :kBe€Y%q;%O4L$+-;eY%€„;e%Om z4L$+-;~„Y%e€4;„%Oj]1H$mzj]5x :VN4  4 K 5!5>%5$/&%a`%($%)$q~;4 q~e4q;e1;H) K r  K … K K H+S23%ij"z`KiiuKiiw ;8p:&/q~rK|4;5% &')+pq4BLmz *- pq%O;15&')%9F% •~m4"5+qmz :;H)Q~;"5%H$`%( :/q"1q%D| :†$&==%/+&')&'m…z…~&O%$%=56% %/$%=56%&-1 H+BC23%ij"z`z)NKiKiK ;8p:&/q~rK|4B  4B K 5K%(% (+8p:%OK&')q~1• 5% &')+pq€5&')% `&%a8p:8€*%9q ~:12%^B&P &')€ *-€•Y%K&%^B  4B K  5!5>%%Omz1 : ;H)qm€•5%H$`%(1 : ;H)-€z•r-€~•-m•zrhi i  : ;H)qm1~zrq•1~•1 B: VN„5&')/T q~*H€+8p:1"7%/ B@%/%)$m•z%D|U&')€4•4„%^1 H+BB1 ;8p:%&-56qJ&=1}q0%(0<8p:%Oq1‡6m%q04' %(% (m~&%a8~5%(&'):1•5% &')+mq5 B')%HK+~•8p:1mY%8p:%O; : ;H)•q K r•1•~ : ;H)%)$m•%)$~•m&RBO : ;H)~;mq B: "5%\%L)+%)$mq~1mB&`%q0%"O %&x H+BI" ;%)$q~;-U-N`%(8p_|:1"5%\%L)%)$4•5 % &')~;1e5&')&J0H+"P • : ;H)Qe% `8p:-~q"r-pq; h : 2 *-"e%O"Y%$Oq~4q;5!5>%%Om z4;H)%)$emzL :5% &')+q"4H)&%^• *- %(% (+8p:%Oq : ;~;rq"1/B@%/L%O.BL~;  ~;+8p:-He H+BM ;c8p:&/q~rK|&')jJ&=% `pq4m5&')B &`%c&%a12%^ *-jm%OmY%$%%( % (q04~+c&%a8p:5!5>%%O;e1 : ;H)%)$;je&RBO%)$qm~1 : ;H)%/q;1~e*&g : qmY%j;%O€_~mY%je%O„1;H)€„q~ B: †$&==%/+m%&%a&'%H$q;~e-B@%/ •6% H+BN123%ij"z`KiihKii ;8p4|:&')qQ)&%a1}$%(% (q~4q; &%a8~4;5$%(&'): : ;H)q~p;5%H$`%( : VN€5+~;pq1;H)~€ *-pq p€1pqr| K :  •~;+8p:566%ƒ8$~;:1(% ( %O+8p:Y%q~4q;%H%\%Oj]4;H)%)$ qj]- *&g '&`% •~; B: 2%^P p *-pqY%&%^q~4q; %D%H%\%Omz1;H)jm…]z≥mz H+BO ;8p4|:BLq~‚K|4%q~56;Gq~‚q;1,;}K %(% (;j4;8p:8j45$%(&'):1•5% &')+q~ : ;H)t&');44p4•4j9% `)`%&%a : ;H)%)$;j~&RBO%)$;jqr : "5%\%L)+%)$;j1/j"%D| B: VGcjq;4H)%&J+%~5%L$+ -;~j H+BP ;8p:&')qQ)&%a4%,q}K%(% (q~4q; $%% (qmz&%a8~4;4m4z% `&%aqm‚qz:1€5 % &')+BLmz4•5&')%HK+;€8p:1 : ;H)s&')q4p4€4;9% `&%a i [...]... của tam giác AHK d) P, Q lần lượt là trung điểm của BH và BK Xác định vị trí của đường kính EF để tứ giác EFQP có chu vi nhỏ nhất Bài 19 Cho (O) đường kính BC và A thuộc cung BC sao cho AB > AC Về phía C dựng hình vuông BADE a) Chứng minh AE luôn đi qua điểm F cố định b) Chứng minh tam giác FCD cân c) Tiếp tuyến của (O) tại B cắt CF tại I Chứng minh D, E, I thẳng... góc với MC cắt Ax tại P, đường thẳng qua C vuông góc với CP cắt By tại Q D là giao của CP và AM, E là giao của CQ và BM Chứng minh rằng: a) Các tứ giác ACMP, CDME nội tiếp b) AB // DE c) Ba điểm P, M, Q thẳng hàng d) Đường tròn ngoại tiếp các tam giác DMP và EMQ tiếp xúc nhau Bài 24 Cho (O) đường kính AB, xy là tiếp tuyến với (O) tại B CD là một đường kính thay . "-% 9 / 9  2% +%)$4+% "&%^ 9 *-&%^%H "&%^ 9 GGG&%^%H /6%O&J4TE%4%4. %-%' ;H)K%)$Q V-G5D%4&R=+K&%^GG K- 9 S4 9  9 -%H ;H)K-+%)$L4%)$ *L4%)$&3. 56%)&')$%&')&-$ $&')&7-8"&')*%' 9 %:1;!&')&3&') &<=%/ *%$%>&?@%4!%ABC 4$&%$% 9  1 2'&)/0$3 %D(%5 E+ %$ 2$F@ -%GHI%E4(%)B98%J%6% (%&!&+%-: KL%/&3%)H) "#'

Ngày đăng: 13/02/2015, 12:00

TÀI LIỆU CÙNG NGƯỜI DÙNG

TÀI LIỆU LIÊN QUAN

w