Općinsko natjecanje 1997 SŠ2 4
Kvaliteta:
Avg: 0,0Težina:
Avg: 2,0 Dane su dvije kružnice
i
koje nemaju zajedničkih točaka. Zajedničke vanjske tangente,
i
, diraju kružnicu
u točkama
i
, a kružnicu
u točkama
i
. Zajedničke unutarnje tangente,
i
, diraju kružnicu
u točkama
i
, a kružnicu
u točkama
i
. Dokažite da je udaljenost pravaca
i
jednaka udaljenosti pravaca
i
![k_1](/media/m/3/5/6/35656cbf3adb55dddd30996fc068363b.png)
![k_2](/media/m/6/a/b/6abbe24dbf6713b55498fe55ab050d06.png)
![t_1](/media/m/d/3/3/d332512f256ff456647ffb3819f44831.png)
![t_2](/media/m/e/1/1/e1165ee2096c9a535d6cdc517651dbe2.png)
![k_1](/media/m/3/5/6/35656cbf3adb55dddd30996fc068363b.png)
![A_1](/media/m/5/a/6/5a6ce1347567551c02239ff8d4ebee67.png)
![A_2](/media/m/a/2/5/a25c6dade4a684fc874981a7d65625f5.png)
![k_2](/media/m/6/a/b/6abbe24dbf6713b55498fe55ab050d06.png)
![B_1](/media/m/5/d/9/5d9518a7c0ead344571aac61b51bb25c.png)
![B_2](/media/m/1/8/1/181de00f42000a442a347ff370e521f1.png)
![p_1](/media/m/f/1/8/f1808e8968e71ff3c562dbd2f53fc16f.png)
![p_2](/media/m/0/c/1/0c126bd163112d1b36b633333d46e570.png)
![k_1](/media/m/3/5/6/35656cbf3adb55dddd30996fc068363b.png)
![C_1](/media/m/b/0/b/b0b10dc32c3e01824e0f0b6753ac2537.png)
![C_2](/media/m/a/b/8/ab898e857261e1c35339f3f3d8362ba0.png)
![k_2](/media/m/6/a/b/6abbe24dbf6713b55498fe55ab050d06.png)
![D_1](/media/m/f/e/6/fe67388584f844e56a8db45e4e8768ca.png)
![D_2](/media/m/e/0/e/e0efa1bccf5ba2b6dd748dce78cc1cd6.png)
![A_1A_2](/media/m/2/1/9/219e9d359659bac5a9acdb7632b15563.png)
![C_1C_2](/media/m/b/a/d/badd486ee0097073581b7b0bee18ce34.png)
![B_1B_2](/media/m/d/e/a/dea509b51728df38d3a0051d3c43db95.png)
![D_1D_2.](/media/m/5/8/5/58510d77923e5650a8c3353b14547dcc.png)
Izvor: Općinsko natjecanje iz matematike 1997