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Mathematics Senior High

どうして(X,Y)≠(0,0)となるんですか? 点QがOを端点とする半直線OP上にある場合、端点は含まれないんですか? 点QがOと同じ位置になると、OP・OQが2とならなくなるからとかですか?

《CAction 動点Pに連動する点の軌跡は, P(s, t) とおいて s, tを消去せよ (2 OP上にOP-OQ =2 を満たす点Qをとるとき,点Qの軌跡を求めよ。 動点Pが直線 :2x+4y-1=0 上を動く。原点0を端点とする半直線 例題112 軌跡(6)…反転 題 109 I 軌跡を求める点→点Q(X, Y)とおく。 それ以外の動点 →点P(s, t) とおく。 2 与えられた条件をX, Y, s, tの式で表す。 条件の言い換え QX, Y) (P(s, t) x 条件ア → 2s+4t-1=0 「X= as (a> 0) 条件の→点Qは半直線 OP 上にある → Y= at 条件の→+がX+Y° =D2 3 2の式から, s, t, aを消去して,X,Y の式を導く。 4 除外点がないか調べる。 解点P(s, t), 点Q(X, Y) とおく。 点Pは直線1上にあるから 2s+ 4t -1= 0 点Qは0を端点とする半直線 OP上にあるから X= as, Y = at (a>0) ち0 X イベクトル(数学B)を用 ( ++)いると OQ = aOP(a>0) Y t= a とおくと 2 yと表すことができる。 S=- .あか a 4Y -1= 0 a 2X のに代入すると a よって a=2X+4Y 3) Vs+VX°+Y2 =2 OP·OQ = 2 より 2を代入すると (2 Y ()+(G)+ア=2 よって X°+Y? = 2a よって X +Y° = 2a 3を代入すると X°+Y? = 2(2X+4Y) (X-2)°+(Y-4)° = 20 ここで,(X, Y) キ (0, 0) であるか ら,求める軌跡は 円(x-2)°+(y-4)° = 20 ただし,点(0, 0) を除く。 ゆえに 半直線 OP 上に点Qを OP-OQ = (一定) となるように定める。こ のとき点Pを点Qに対 応させることを反転と いう。 12 0 x 思考のプロセス|

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English Senior High

⚠️大至急⚠️ ⑺がmating with a queen ではなくmate with a queenになるそうです。なぜ原型に戻すのでしょうか?? 1枚目の第5段落の最後の方です。

sting 刺すこと, ~を刺す be fond of ~を好む 11 (1)Have you ever experienceda bee sting? /If you (2)have, y0u not be fond of bees/ Hewexer/they are very interesting ándhoneybee SOciety is very similar to (aOurs./Let's look at some interesting factS about it. honeybee ミッバチ be similar to ~に似ている A beehive ハチの巣 colony コロニー Honeybees live together in groups of 20,000-80,000 in a beehive, This group is あ[ call ] a colonyand the bees in the hive can De 2 typesy/ a single qúeen/ tens of thousands of T900 categorized into three1 worker beegándhundreds of drones. categorize ~を分類する tens of thousands of 何万もの~ drone 雄バチ lay eggs 卵を産む lifespan 寿命 A queen bee's job is to lay eggs all her life./ Each day the queen bee lays around 2,000 eggs,/The average lifespan of a queen is three to four years,/Does the queen “rule" the colony?/No/Her duty is simply egg- laying/ In fact/Ahe queen bee has a smaller brain than a worker bee. The worker bees are the largest population in the hive./They are all female bees bit can't lay eggs. 3 rule ~を統治する duty 職務,義務 4 ./A worker bee's life is rather short, female 雌の rather かなり They live around 40 days. /Their job is to keep the queen bee happy, They do all the workbüt change jobs as they grow, / For about a week as ~につれて after, birth, they mainly clean the hive./Sometime between five to sixteén days after birth fhey usually take care of the babies and help to 16.avVS build the hive,/when they become twelve to eighteen days old/they (dStst carry food.After that, Ahey guard the hive entrance./When (5, they are three weeks' old,fhey fly out the hive,pollinate plants and collect food/ If you're a drone bee, fife is hard. Nou're .[ bear ]/live for a month or two,and then die.During that time/you're not a productive member of the hive-you can't collect pollen or help to look after eggs/ guard 守る pollinate 授粉する 5 productive 生産的な like pollen 花粉 worker bees-fand you can't even sting anyone. /Drone bees live with one thing in mind:/mating with a queen/ When (othey re lucky, dhey in mind 考えて mate with ~と交尾する (7) Can, bt they die soon after (8 that. 6 Every bee in the hive has a part to play in the survival/ándsuccess success 成功,繁栄 of their kind/ Bees have been living like this for ages,/ (9) They work togetherand live in harmony,/ in harmony 調和して,仲良く

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