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Mathematics Senior High

(3)において④よりなぜ、(1)には無かった0以上という条件が加わるのでしょうか、教えてください🙏

198 2点で交わるときの値の範囲を求めよ で求めたくとき、その交点を分の中点の座 いてませ。 it 軌跡(8) 分の中 (3) 中点 ① x-y+24=0.②について を求めよ。 が異なる点で交わる Comous DD>0 に考えると・・ 2次方程式(中)から2点の標を実際に求めて考える。 求めるものい 2次方程式(*)の2解.8とする BERBORK D>0 より do 1/③であるから (2) αが(1)で求めた範囲を動くと 円 ①と直線②の2交点の 標はxの2次方程式 ③ の 2つの実数解である。 これらをα, βとすると解と 係数の関係より ⇒中店の 《Action 分の中点の軌跡は, 解と係数の関係を利用せよ ITE) (1) ①②よりを消去して整理すると (1 + a²)x²+4a³x+4a²-1=0 Q.② は異なる2点で変わるから, ③ の判別式をDと するとD =(2a)²-(1 + a²) (4a²-1) = -3a²+1 -3a²+1>0 3 <a< (X,Y)- 計算が雑 √3 -1 34 (2 @ 2-10 β1 x 40² a+B=-1 + a² よって①と直線②の2交点の中点の座標を(X,Y) とすると 4① の中心と②日 距離をd円 ① るが、 で交点の座標を考える ら③を考える。 Play Back 8 参照 3 <0 +√3)(²-3)< (a+ より +73 に注意する。 a<+- | 2次方程式 x²+bx+c=0の2つ の解をa, βとすると a+B=-- aß としないよう C a (X1) ② X-Ya-015 したがって ゆえに、 求める3点の中のは (1+³)x=-2 (X+2)²--x X-2 とすると、左辺) 6, 2 となり不 よって、 X-2 であるから ⑥両辺を2乗すると を代入すると y = ²X +2 Y₁X _X+2(x+29 X²+2X+Y-B y=-X(X+2) より よって (X+12+Y2=1 ... ここで、⑤より X-21 ④ より 1/3であるから - 1<x50-sitect in ⑧ ⑨ より 求める中点の 軌跡は -x+2) => 1 円 (x+1)+y^2=1の <xs0 の部分 Point 弦 (線分) の中点の軌跡を求める手順 ① 2つのグラフの式を連立して、 2次方程式をつくる。 ② 共有点のx座標α B① の方程式の解 I 中点をとる 中点のy座標を X で表す。 X, Y以外の文字を消去 ④α, B が異なる2つの実数解であることから, Xの変域を求める。 解と係数の関係の利用 1114 xy平面上に, 円 C: (x-1)^2+(y+2) = 25 および直線l:y= り、 異なる2点で交わっている。 (1) の値の範囲を求めよ。 (2) C がしから切り取る弦ABの中点Mの座標をんで表せ。 (3) kの値が変化するとき, Mの軌跡を求めよ。

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English Senior High

FLEX2 レッスン3 教科書のcompressionが分からなさすぎてヘルプです

Choose the appropriate answer. hartan art ell 1. It became more important for people to get salt a. when Roman soldiers were given money to buy it b. when people started to hunt animals for food c. when people ate less meat and began to eat more grains and wheat 3. The influences of salt can be seen a. in modern cultures b. not in languages but in customs and religions c. more in languages than in customs or religions boyasdo 2. What ancient people discovered was a. that salt could stop droughts and help people survive a lack of food b. that salt helps bacteria grow foods c. that salt keeps foods from going bad 4 4. Thanks to some discoveries by scientists, a. people have changed how they produce salt b. people have begun to use salt in new ways edme c. people have found that salt has always had an influence on many cultures Salt is 1 dor d blues 2 Fill in each blank with the most appropriate word to complete the summary. EXTER Jika ODOY velg avs ) for our lives and we cannot live without it. In ancient times, as people be eat more food which were low in salt, they needed a lot more salt to survive. Eventually it bec 2 3 ) trade item. Also, salt was used to ) famines and travel to ) food. Because of this, people 5 ancient people, has also 6 ) places. Salt, which was very importa modern cultures. Some used, and its influence can also be found in some ) related to salt an 8 ). One important scie 9 ) enabled people to produce new things. Salt is now a common item, but it has had ) on the world. 10 7 affected / available / decrease / discovery distant expressions impact / precious / preserve / religions essential survive

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English Senior High

1問でも構いません教えてください🙇‍♀️

Every sentence has a mistake. Correct the mistake in each sentence. don't Fernando and Carlos doesn't have a car. Example: 1) Do you live in campus, with family, or with friends? 2) Susan doesn't like go to the library in the morning. 3) What time does class finishes in the afternoon? 4) I like to sing, but I can't a musical instrument. 5) I like to play ski in winter. 6) There aren't some coffee shops near here, I'm afraid. 7) Excuse me. Where's post office, please? 8) I like it here, but there are a lot of noise. 9) Turn left onto Main Street and it's to the left. 10) Hey! Is that your sunglasses over there? 11) How much this coffee, please? 12) I live behind of a large supermarket. Part V- Grammar (16 points) Write ONE word in the space to complete the sentences. 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) Go 14) Are 15) How 16) you work in Singapore? do they study there? My cousin My friend Helen "Do they study at university?" "No, they I like. My girlfriend study. He works. her homework in the library. play my guitar in the evening. There aren't How do I Is there a grocery store. aerobics, but she doesn't like yoga. he ski?" "No, he can't." there a good restaurant near the hotel? coffee shops in this street. to the City Hospital? here? ahead. It's next to the Italian coffee shop. shoes over there yours? is this pen? store is expensive. Let's go to another store.

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