Ïîëåçíîå:
Êàê ñäåëàòü ðàçãîâîð ïîëåçíûì è ïðèÿòíûì
Êàê ñäåëàòü îáúåìíóþ çâåçäó ñâîèìè ðóêàìè
Êàê ñäåëàòü òî, ÷òî äåëàòü íå õî÷åòñÿ?
Êàê ñäåëàòü ïîãðåìóøêó
Êàê ñäåëàòü òàê ÷òîáû æåíùèíû ñàìè çíàêîìèëèñü ñ âàìè
Êàê ñäåëàòü èäåþ êîììåð÷åñêîé
Êàê ñäåëàòü õîðîøóþ ðàñòÿæêó íîã?
Êàê ñäåëàòü íàø ðàçóì çäîðîâûì?
Êàê ñäåëàòü, ÷òîáû ëþäè îáìàíûâàëè ìåíüøå
Âîïðîñ 4. Êàê ñäåëàòü òàê, ÷òîáû âàñ óâàæàëè è öåíèëè?
Êàê ñäåëàòü ëó÷øå ñåáå è äðóãèì ëþäÿì
Êàê ñäåëàòü ñâèäàíèå èíòåðåñíûì?
Êàòåãîðèè:
ÀðõèòåêòóðàÀñòðîíîìèÿÁèîëîãèÿÃåîãðàôèÿÃåîëîãèÿÈíôîðìàòèêàÈñêóññòâîÈñòîðèÿÊóëèíàðèÿÊóëüòóðàÌàðêåòèíãÌàòåìàòèêàÌåäèöèíàÌåíåäæìåíòÎõðàíà òðóäàÏðàâîÏðîèçâîäñòâîÏñèõîëîãèÿÐåëèãèÿÑîöèîëîãèÿÑïîðòÒåõíèêàÔèçèêàÔèëîñîôèÿÕèìèÿÝêîëîãèÿÝêîíîìèêàÝëåêòðîíèêà
Òðåáîâàíèÿ ïî îôîðìëåíèþ
Íîìåð âàðèàíòà âûáèðàåòñÿ â ñîîòâåòñòâèè ñ ïîðÿäêîâûì íîìåðîì ñòóäåíòà ïî æóðíàëó ïðåïîäàâàòåëÿ. Ðàáîòó ñëåäóåò îôîðìèòü àêêóðàòíî íà äâóõ èëè òð¸õ ñêðåïë¸ííûõ äâîéíûõ òåòðàäíûõ ëèñòàõ. Çàäà÷è ñëåäóåò ïèñàòü ïî ïîðÿäêó íîìåðîâ è ïîñëå êàæäîé çàäà÷è îñòàâëÿòü íåñêîëüêî ñòðîê äëÿ âîçìîæíûõ èñïðàâëåíèé. Ïîëÿ îáÿçàòåëüíû.
Ðàáîòà ðåøàåòñÿ â äîìàøíèõ óñëîâèÿõ áåç îãðàíè÷åíèÿ âðåìåíè, è ñ îáðàçöîì ðåøåíèÿ. Ïîýòîìó äîëæíû áûòü ðåøåíû âñå çàäà÷è.  ïîìîùü ïðåäëàãàåòñÿ ðåøåíèå íóëåâîãî âàðèàíòà. Îñîáî ñëåäóåò îòìåòèòü: â òåõ çàäà÷àõ, ãäå âîçìîæíî ñäåëàòü ïðîâåðêó, ñëåäóåò å¸ îáÿçàòåëüíî ñäåëàòü.
Íà ïåðâîì ëèñòå ïåðåä ðåøåíèåì ïåðâîé çàäà÷è ñëåäóåò íàðèñîâàòü òàáëè÷êó äëÿ ïðîâåðêè è ïîâòîðíîé ïðîâåðêè ðàáîòû.
| 3à | 3á | 3â | ||||
Îøèáêè â çàäà÷àõ, åñëè ýòî âîçìîæíî, ñëåäóåò èñïðàâèòü ïðÿìî íà ìåñòå.  êîíöå ðàáîòû ïèøåòñÿ «Ðàáîòà íàä îøèáêàìè», ãäå èñïðàâëÿþòñÿ çíà÷èòåëüíûå îøèáêè â ðåøåíèÿõ, âûÿâëåííûå ïðè ïðîâåðêå.
1. Äàíû êîîðäèíàòû âåðøèí òðåóãîëüíèêà ABC. Ñîñòàâèòü óðàâíåíèå îêðóæíîñòè îïèñàííîé âîêðóã òðåóãîëüíèêà.
2. Âû÷èñëèòü ïëîùàäü òðåóãîëüíèêà ABC, åñëè âåðøèíà A ïîìåùàåòñÿ â ïîëþñå, à äâå äðóãèå èìåþò çàäàííûå ïîëÿðíûå êîîðäèíàòû. Íàéòè äëèíó BC. Èçîáðàçèòü äàííûé òðåóãîëüíèê (ñäåëàòü òî÷íûé ÷åðò¸æ).
3. Èññëåäîâàòü âçàèìíîå ðàñïîëîæåíèå ñëåäóþùèõ ïàð ïðÿìûõ(ïàðàëëåëüíû, ïåðåñåêàþòñÿ èëè ñîâïàäàþò). Åñëè ïðÿìûå ïåðåñåêàþòñÿ – íàéòè óãîë ìåæäó íèìè, à åñëè ïàðàëëåëüíû – ðàññòîÿíèå ìåæäó íèìè.
4. Äàíû êîîðäèíàòû âåðøèí òðåóãîëüíîé ïèðàìèäû SABC.
à) Íàéòè îáúåì ïèðàìèäû, ïëîùàäü îñíîâàíèÿ ABC è âûñîòó (ñ ïîìîùüþ âåêòîðíîãî è ñìåøàííîãî ïðîèçâåäåíèé).
á) Íàéòè óãîë Ð BAC. Óêàæèòå, êàêîé âåêòîð ïåðïåíäèêóëÿðåí îñíîâàíèþ.
â) Èçîáðàçèòå äàííóþ ïèðàìèäó â äåêàðòîâîé ñèñòåìå êîîðäèíàò.
ã) Ñîñòàâüòå óðàâíåíèå ïëîñêîñòè îñíîâàíèÿ è âû÷èñëèòå âûñîòó ïî ôîðìóëå ðàññòîÿíèÿ îò òî÷êè äî ïëîñêîñòè. Ñðàâíèòå ñ ðàíåå ïîëó÷åííûì ðåçóëüòàòîì.
5.  D ABC ïðîâåäåíà âûñîòà AD. Íàéòè êîîðäèíàòû òî÷êè D, ñîñòàâèòü óðàâíåíèå ïðÿìîé AD, âû÷èñëèòü h =½ AD ½ è ïðîâåðèòü h, âû÷èñëèâ S D ABC ñ ïîìîùüþ âåêòîðíîãî ïðîèçâåäåíèÿ (â õîäå ðåøåíèÿ íå çàáûâàéòå, ÷òî êîîðäèíàòû íàïðàâëÿþùåãî âåêòîðà ïðÿìîé è âåêòîðà íîðìàëè ê ïëîñêîñòè ìîæíî ñîêðàùàòü â ëþáîå êîëè÷åñòâî ðàç).
5*. Íàéòè êîîðäèíàòû òî÷êè D, èñïîëüçóÿ ìåòîäû äèôôåðåíöèàëüíîãî èñ÷èñëåíèÿ (äëÿ ïðåòåíäóþùèõ íà îòëè÷íóþ îöåíêó).
Âàðèàíò 1.
1. A (–3,–2), B (4,–3), C (1, 6). 2. C (1,–), B (1,– p).
3. à) x +1= 0, á) 2 x – 2 y –5 = 0, â) 2 x + 3 y –1= 0,
x + y – 5 = 0; – x + y +1= 0; 4 x + 6 y – 2 = 0.
4. A (–1, 1, 2), B (–5, 4,–2), C (–1, 2, 3), S (–8,–5, 4).
5. A (1, 4, 3), B (1,–7, 2), C (4, 8,–1).
Âàðèàíò 2.
1. A (– 6,– 6), B (1,–7), C (–2, 2). 2. C (2,–), B (3,).
3. à) 3 x – y – 3 = 0, á) 2 x + y = 0, â) 2 x – y +1= 0,
x + 2 y + 8=0; – 4 x – 2 y – 5 = 0; – 6 x + 3 y – 3 = 0.
4. A (0, 2, 2), B (0, 4, 3), C (1, 4, 2), D (7,–1, 7).
5. A (1,– 4,–1), B (3, 8,–3), C (– 6,–7, 3).
Âàðèàíò 3.
1. A (–10,–3), B (7,–10), C (2, 15). 2. C (1,), B (2, ).
3. à) 3 x + 4 y = 0, á) 4 x – 6 y + 5 = 0, â) – x + 5 y + 2 = 0,
8 x – 6 y + 5 = 0; – 6 x + 9 y +10,5= 0; 2 x + 3 y – 8 = 0.
4. A (1, 1, 2), B (1, 2, 4), C (4, 1, 4), S (2,-7, 3).
5. A (7,–3,–2), B (3, 8, 3), C (–9,–13,–9).
Âàðèàíò 4.
1. A (3, 2), B (2,–5), C (–1, 4). 2. C (3, ), B (2, ).
3. à) 3 x + y + 5 = 0, á) –3 x + y +1= 0, â) 9 x – 6 y –12= 0,
x + 2 y – 8 = 0; 6 x – 2 y + 5 = 0; 6 x – 4 y – 8 = 0.
4. A (-1, 1,-2), B (-1,-2,-1), C (1,-2, 0), S (5,-2,-12).
5. A (0, 6, 5), B (7, 1, 2), C (–5, 4, 5).
Âàðèàíò 5.
1. A (3, 0), B (1,– 4), C (–2, 5). 2. C (2,), B (5,).
3. à) 3 x + 5 y – 7 = 0, á) 5 x –10 y +11= 0, â) – 4 x + y + 2 = 0,
4 x + y +1= 0; x –2 y +5 = 0; x + 4 y – 4 = 0.
4. A (-5, 1, 2), B (-5,-2, 6), C (- 4, 4,-2), S (2, 12, 4).
5. A (–1, 5, 0), B (–1, 6,– 4), C (2, 0, 8).
Âàðèàíò 6.
1. A (9, 5), B (2, 12), C (–3, 13). 2. B (4,– ), C (1,– ).
3. à) –2 x + 3 y –11= 0, á) 3 x +12 y – 8=0, â) 8 x + 2 y + 5 = 0,
x + 5 y + 8 = 0; 2 x + 8 y +10 = 0; x – 4 y –15 = 0.
4. A (-5, 1, 2), B (-5,-2, 6), C (-4, 4,-2), S (2, 12, 4).
5. A (3, 6, 1), B (2,–5, 1), C (1,–10, 4).
Âàðèàíò 7.
1. A (– 4,– 4), B (8, 2), C (0, 8). 2. B (2,), C (3,).
3. à) –3 x + y – 12 = 0, á) 3 x + y – 5 = 0, â) 6 x + 2 y – 7 = 0;
– x + 2 y – 7= 0; 9 x + 3 y – 15 = 0; 9 x + 3 y + 5 = 0.
4. A (-6, 0, 1), B (-6,-3, 5), C (–5, 3,–3), S (1, 9,-1).
5. A (4, 0, 1), B (5,– 4,–3), C (–1, 8, 9).
Âàðèàíò 8.
1. A (–5,–3), B (7, 1), C (–1, 9). 2. B (4,– ), C (7, ).
3. à) –3 x + 5 y – 1= 0, á) –5 x + y – 5=0, â) 2 x + 3 y = 0,
– 4 x + y +1= 0; 10 x – 2 y –10 = 0; 3 x – 2 y + 9 = 0.
4. A (1, 0,-1), B (2, 0, 4), C (4, 2, 3), S (10,-11,-8).
5. A (1,– 6, 3), B (0, 2, 4), C (– 6,– 4,–5).
Âàðèàíò 9.
1. A (–2,–5), B (10, 1), C (4,–7). 2. B (3, p), C (4,).
3. à) 4 x + 3 y – 12 = 0, á) x – 7 y + 10 = 0, â) 2 x – 4 y – 12 = 0,
x + 6 y + 12 = 0; –3 x + 21 y + 10 = 0; –3 x + 6 y + 18 = 0.
4. A (-1, 3, 0), B (-1,-1, 2), C (0, 5,-2), S (7, 2, 6).
5. A (5, 8, 0), B (2, 3, 7), C (5, 6,–5).
Âàðèàíò 10.
1. A (–5,–1), B (7, 5), C (–1,–3). 2. C (5,), B (2,).
3. à) – 4 x + 3 y +18 = 0, á) x + 3 y + 5 = 0, â) x – 2 y +1= 0,
– x + 7 y + 7 = 0; 2 x + 6 y – 7 = 0; 2 x + y + 1= 0.
4. A (1, 4, 2), B (7, 6, 3), C (3, 4, 3), S (6,-7,-7).
5. A (0, 3,–5), B (4,–2, 0), C (–14, 7,– 6).
Âàðèàíò 11.
1. A (–5, 0), B (7, 4), C (1,–2). 2. B (2, ), C (1, ).
3. à) 3 x + 2 y + 5 = 0, á) 5 x + 2 y – 7 = 0, â) x – y + 2 = 0,
5 x – y + 5=0; 10 x + 4 y + 8 = 0; 2 x – y + 4 = 0.
4. A (2, 1, 4), B(3,-1, 2), C (3, 7, 6), S (–7, 6,-7).
5. A (–2, 0, 3), B (–6, 0, 4), C (6, 3,–2).
Âàðèàíò 12.
1. A (–6,–3), B (9, 2), C (0, 9). 2. B (3,– ), C (1, ).
3. à) x + 3 y + 11 = 0, á) 4 x + 7 y – 28 = 0, â) x + 2 y + 2 = 0,
2 x + y + 5 = 0; 16 x + 28 y – 8 = 0; x + y + 2 = 0.
4. A (1,–1, 0), B (2, 1, 2), C (1, 1, 1), S (3,-2, 7).
5. A (1, 2,– 6), B (5,–3,–1), C (–13, 6,–7).
Âàðèàíò 13.
1. A (–5,–2), B (10, 3), C (3,– 6). 2. B (1, ), C (3, ).
3. à) 5 x + 3 y +11 = 0, á) 3 x + 5 y +15 = 0, â) x + y – 2 = 0.
x + 4 y – 5 = 0; 9 x + 15 y + 3 = 0; x – y = 0.
4. A (-1, 1, 1), B (-1, 3, 2), C (0, 3, 1), S (6,-2, 6).
5. A (7, 1, 6), B (2, 8, 3), C (5,– 4, 6).
Âàðèàíò 14.
1. A (6, 5), B (4,–9), C (–2, 9). 2. B (5,), C (3,).
3. à) 3 x + 4 y + 7 = 0, á) x + y + 2 = 0, â) 4 x + 2 y – 6 = 0,
6 x + y + 7 = 0; 2 x + y – 2 = 0; 6 x + 3 y – 9 = 0.
4. A (-1,–1, 0), B (-1, 0, 2), C (2,-1, 2), S (0,-9, 1).
5. A (1, 1,–3), B (1, 5,– 4), C (–2,–7, 2).
Âàðèàíò 15.
1. A (6, 1), B (2,–7), C (5, 4). 2. B (2,– ), C (3,–).
3. à) 3 x –2 y +1=0, á) 7 x –2 y +7=0, â) x +3 y =0,
6 x +9 y +6=0; –28 x +8 y +21=0; – x + y +3=0.
4. A (2,–1, 1), B (3,-1, 2), C (–2,-5, 4), S (4,-8,-5).
5. A (5, 2, 4), B (– 6, 2, 3), C (9, 5, 0).
Âàðèàíò 16.
1. A (2, 2), B (–6, 6), C (–7,–1). 2. B (1,– ), C (2,– ).
3. à) x – 3 y + 4=0, á) 3 x – 5 y + 15 = 0, â) x – 5 y + 3 = 0,
2 x – y = 0; 9 x – 15 y + 11 = 0; – x + y – 3 = 0.
4. A (-2, 0,-3), B (-2,-3,-2), C (0,-3,–1), S (4,-3,-13).
5. A (4, 1,–1), B (–8, 3,–3), C (7,–3, 6).
Âàðèàíò 17.
1. A (8, 0), B (– 4, 4), C (2,–8). 2. B (5,–), C (3,–).
3. à) 5 x – 3 y – 9 = 0, á) – 4 x + 5 y – 8 = 0, â) – 4 x + 5 y – 20 = 0,
x – 4 y –11= 0; 2 x – 2,5 y +16 = 0; 5 x + 4 y = 0.
4. A (6, 1, 1), B (9, 2, 1), C (6, 2, 3), S (4,-11, 11).
5. A (3,–2, 6), B (6, 4,–3), C (–15,– 8, 9).
Âàðèàíò 18.
1. A (1,– 6), B (4,– 5), C (–7,– 2). 2. B (2,), C (5,).
3. à) 3 x – 4 y +12 = 0, á) 20 x + 30 y –15 = 0, â) 4 x + 6 y + 3 = 0,
6 x – y = 0; 4 x + 6 y + 3 = 0; 3 x – 2 y – 1= 0.
4. A (1, 0,–2), B (2,–3,–2), C (0, 2, 4), S (2, 4,– 6).
5. A (–1, 5, 6), B (6, 2, 1), C (– 6, 5, 4).
Âàðèàíò 19.
1. A (15, –2), B (–3, 10), C (–10,–7). 2. B (1, ), C (3, ).
3. à) –2 x +10 y –11= 0, á) 6 x – y – 7= 0, â) x + y – 1 = 0,
2 x + 3 y – 7 = 0; –12 x + 2 y –14 = 0; 4 x + 9 y – 6 = 0.
4. A (2, 3, 1), B (6, 3, 0), C (2, 0, 2), S (–1, 3, 5).
5. A (–3, 1,–3), B (–2, 3, 4), C (1,3,–5).
Âàðèàíò 20.
1. A (4, 1), B (2,–3), C (–5,–2). 2. B (2,), C (3, ).
3. à) 2 x + 4 y – 5 = 0, á) –2 x + 3 y + 6 = 0, â) 10 x – 5 y – 1,8 = 0,
3 x + y + 9 = 0; x – y – 3= 0; x + 2 y = 0.
4. A (2,–2, 4), B (8, 7,12), C (2,–1, 3), S (5, 1, 0).
5. A (0, 3, 4), B (0, 2,–7), C (3,–1, 8).
Âàðèàíò 21.
1. A (4, 1), B (2,–3), C (–5,–2). 2. B (3, ), C (4, ).
3. à) 8 x + 2 y – 7 = 0, á) 0,6 x – 0,8 y – 1= 0, â) 9 x – 2 y +18 = 0,
3 x + 5 y + 8 = 0; –3 x + 4 y – 8 = 0; 4,5 x – y + 9 = 0.
4. A (–1,–2, 2), B (–2,–2,–1), C (0, 4, 4), S (–2,– 6, 6).
5. A (2, 5, 0), B (4,–7,–2), C (–2, 8, 7).
Âàðèàíò 22.
1. A (5, 2), B (0,–3), C (– 4,–1). 2. B (5, ), C (3, ).
3. à) 2 x + 12 y – 5 = 0, á) –3 x + 8 y –10 = 0, â) –3 x + 8 y –10 = 0,
4 x + 3 y + 7 = 0; 0,6 x – 1,6 y + 5 = 0; 4 x + 1,5 y – 5 = 0.
4. A (3,–2, 2), B (3,– 6, 1), C (0,–2, 3), S (3, 1, 6).
5. A (11,–12,–2), B (3, 1,–1), C (–3,–5, 2).
Âàðèàíò 23.
1. A (13, 3), B (5,–9), C (–12,–2). 2. B (2, ), C (3, ).
3. à) 4 x + 6 y – 7 = 0, á) 2 x – 4 y – 9 = 0, â) 8 x + 3 y –10 = 0,
– x + 5 y – 6 = 0; –3 x + 6 y – 6 = 0; 1,6 x + 0,6 y – 2 = 0.
4. A (–2,– 4, 0), B (–1,– 4,–3), C (–3, 0, 0), S (–1,–2, 2).
5. A (–5, 0, 5), B (–2,–7, 0), C (–5, 3, 3).
Âàðèàíò 24.
1. A (8, 0), B (– 4, 4), C (2,– 8). 2. B (3, ), C (1, – ).
3. à) 6 x + 2 y – 9 = 0, á) x + 2 y – 8 = 0, â) 6 x – 8 y +12 = 0,
– x – 2 y + 5 = 0; x + y = 0; –9 x +12 y –18 = 0.
4. A (–2, 0, 3), B (–2, 3, 4), C (4,–2, 2), S (– 6,– 4, 4).
5. A (3,–1, 2), B (–9,–3, 4), C (6, 6,–2).
Âàðèàíò 25.
1. A (9, 1), B (–3, 5), C (1,–7). 2. B (3,– ), C (2, ).
3. à) 6 x +10 y – 5 = 0, á) 7 x + 2 y – 3 = 0, â) 6 x – 8 y +12 = 0,
4 x + y –1 = 0; 14 x + 4 y – 6 = 0; –9 x +12 y –10 = 0.
4. A (1,–1, 3), B (0,–5, 3), C (2,–1, 0), S (5, 2, 3).
5. A (– 3,–1,– 4), B (–2,–1, 7), C (1,– 4,– 8).
Âàðèàíò 26.
1. A (–7,– 4), B (–5, 2), C (1,–10). 2. B (1, ), C (2, ).
3. à) 8 x +6 y +3=0, á) 10 x –5 y –3=0, â) 2 x – y –8=0,
x +6 y +2=0; 2 x – y –8=0; x +2 y +15=0.
4. A (0,–2, 2), B (–1,–1, 2), C (8, 7, 8), S (– 4, 1, 5).
5. A (4,–1, 6), B (6,–3,– 6), C (0, 6, 9).
Âàðèàíò 27.
1. A (–3, 1), B (–1, 5), C (5,–7). 2. B (3, ), C (2, ).
3. à) 2 x – 6 y –11= 0, á) 15 x – 9 y – 3 = 0, â) x – 4 y = 0,
2 x – y –1= 0; 10 x – 6 y – 2 = 0; – x + 2 y + 7 = 0.
4. A (–8, 0, 4), B (–7,–2, 4), C (–7,–1, 0), S (–9,–1,–2).
5. A (– 4, 6, 5), B (8, 3, 2), C (–16,–9,–1).
Âàðèàíò 28.
1. A (–2,–1), B (0, 5), C (4,– 7). 2. C (5,), B (2,).
3. à) 3 x +2 y +5=0, á) 4 x +7 y –28=0, â) x + y –2=0,
5 x – y +5=0; 8 x +14 y –7=0; x – y =0.
4. A (0,– 6, 1), B (–3,– 4, 3), C (0,–5, 3), S (4,– 6,–1).
5. A (–1, 3,–1), B (–5, 4,–1), C (7,–2, 2).
Âàðèàíò 29.
1. A (–6,–3), B (–2,5), C (3,–10). 2. B (1,), C (3,).
3. à) 2 x +4 y +5=0, á) –2 x +3 y +6=0, â) 9 x –2 y +18=0.
3 x + y +9=0; x – y –2=0; 4,5 x – y +9=0.
4. A (4,– 8, 2), B (4,–7, 0), C (0,–7, 1), S (–2,– 9, 1).
5. A (3,–8, 1), B (2, 0, 2), C (– 4,– 6,–7).
Âàðèàíò 30.
1. A (9, 2), B (5, –6), C (–9, – 4). 2. C (5, ), B (2, ).
3. à) –2 x +10 y –11=0, á) 6 x – y –7=0, â) x + y –1=0.
2 x +3 y –7=0;–12 x +2 y –14=0; 4 x +9 y –6=0.
4. A (1, 3,– 6), B (3, 0,– 4), C (3, 3,–5), S (–1, 7,– 6).
5. A (3,1, 4), B (2, 1,–7), C (-1, 4, 8).
Ðåøåíèå íóëåâîãî âàðèàíòà
1. Ïðåæäå, ÷åì ðåøàòü çàäà÷ó ñëåäóåò ïîâòîðèòü ïàðàãðàô «Óðàâíåíèå ïðÿìîé íà ïëîñêîñòè».
A (1,– 6), B (–3, 0), C (6, 9).
Ðåøåíèå. Äëÿ òîãî, ÷òîáû ñîñòàâèòü óðàâíåíèå îêðóæíîñòè íàì íåîáõîäèìî çíàòü åå ðàäèóñ R è êîîðäèíàòû öåíòðà Î (a, b). Òîãäà óðàâíåíèå âûãëÿäèò òàê:
(x – a)2 +(y – b)2 = R 2.
Öåíòð îêðóæíîñòè, îïèñàííîé âîêðóã òðåóãîëüíèêà íàõîäèòñÿ íà ïåðåñå÷åíèè ñåðåäèííûõ ïåðïåíäèêóëÿðîâ ê ñòîðîíàì ýòîãî òðåóãîëüíèêà.
Íàõîäèì êîîðäèíàòû ñåðåäèí M 1(x 1, y 1), è M 3(x 3, y 3) ñòîðîí BC è AB:
x 1= = =, y 1= = =, M 1(,).
Date: 2016-07-18; view: 286; Íàðóøåíèå àâòîðñêèõ ïðàâ; Ïîìîùü â íàïèñàíèè ðàáîòû --> ÑÞÄÀ... |