一道数学题：已知等边三角形ABC和点P,设点P到△ABC三边AB、AC、BC的距离分别为h1,h2,h3,△ABC的高为h若点P在一边BC上,此时h3=0,可得结论：h1+h2+h3=h当点P在△ABC外时,如图这种情况,怎样证明 h1-h2-h3=h

来源：学生作业帮助网 编辑：作业帮 时间：2024/10/04 15:39:02
xZ[ŕ+ a{zftAbf$llDh"ؗ쮒*Ly`+6W`!6IH4΍<>6v+ Ͱ^8 w޿^`Z_yp旯Ｓ{덽nBHބoؙfo}O^y+_x;_޵v}MNܡ } x W+߼{xucQ2~,|sEE194$ԅλCeaH4 88pypGt=zëzGV``Ti7׎Z= hHe_[ WԊ TwL ^,kNwV!?8r8Vp-M;uko{kW6N oN~ɵ~;]4C ;N|_Z>lnuO?N_6>[>9}sSf^|Mxo޽{[&ycKDNٮދݽqa+{/ݞ{<߾â;oC'G{u<4\xG0#HD㿾l”_OՕC>I-TFxVbr"FҏұT㨈t*8cb*D2Qi!2-BJ$:S(Bm%V{" o\Ҳ]!b1t"*L bd2 Jq"ʋ, 12 Xg45w}u^t_||I`+9'r(1QzC&ȕ2+h\EmW}/Be,@ :~|k"SU =zE'Re,&鼞#gbHK2\CR P u9`)^&-vw0L|RC]b !"Wʢ"sm$u)CD!熢RsQ.gnc./'Agɱ4!0S._8\>o:*&B5%: ΆLǪ+6ijLŢa5pDM83Q'P0^|Dj3(Y{:Qqx'4S)'2˰ S2\aMr,d#+YƓ؋N#}HЙE!$ITAb̔& THЌJ|+Ni8<:uyLXPY!2eErs042S\5hqBKs$3^7 aZŤJBZ)yq4y+c%PG2?C)a>Ss:E5 n$Je8dDFdF D. 5ESiT5N &dt 9zl"K[ b_z @AcjAMWDOA3JOXAk-%4(uRR3q). ֪¹ G" Ύ8 pƳ)G#" 6 *0(P =VV<2?,lclX HRuXy#ZTҩCYƒY(P:2Tggdb5:FΪR FK_WBȂbdpY@哨FlU<,:![CA0e :i d|Luj}wAtWkɚ#3YR8W6LУNue^Iky%imqĻCT9"vjV~wB6|-dLnb^H#/1gA֚29lzڨ J :iejRq\;5uWPwekkP2|dWG[f[S??=CdJ?\h/`id)S:W$jgt9"3k2q|OmoLr$wr݊5:Q:AKԨ{`S'!?FY1SmD)Ғۃq%0'>WBrˉpRˋ [jn-u6m1k≮;U40ܺ38y4*FsitVCms 3BK Ԅj1ҳo5' ZՅ jy ;$ 0"LU' x)2g.>Bahl? (@6$MD]#YLT`;n 9G9k Ĕ3F+386&]j30KP)˖T]Y7X]jb>4jq]fY6Y;T@[$%)3re1ZcdN'ri;"s"YwHBuCڻ=soj$hàt]մtu,>V6ēXQ'/Us[db̙,/k7=1bEouSpBb-àWx۔+4܊`mV~sc2ChI$9c`4cla1rW70)"!WDPɰ\ܟ*%J1U)_qVR,݆z UpM^ l#q SʕMroA% m&5/g'y+iZFg@&dtor>v|>j;R6ZHVE|. Y?垙5aY8 '>E)+dh3>\ybFH@`5ua/|[2QSoKPVd`3t=NP YK|*?QR4Pull\ :"gh6\d'ܹ*X𝙋mмoTLl9~|N4eg8 _1blJ[9mo)Q۱BI$䧵{%.Q*}xVg,'Zb.j6eE^,#H;~o-ѩ3?[W wtE6C?euwlQmLF;+G02ݻ! }P /T߆6C8!u+MsM˧j0 3 XA\;X9&ְٺTXïej4RiNti`ozrE t,c"b1m 5Y4W&QFBo!@bJl5,! a?R4 E2n ؅U-nuC#$)32NU&aQ>)R2|Or># ҨE͍\҇*&}A)W}ӔLf)L"dȱ% ݼ!: Ci0 V>ێ*tHp`nr̽j1GRI4O\(rqLa*#H#w1Ҁ 7z*