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English Junior High

あ に入るのは、until か withoutのどちらですか? 解説もありでお願いします!

Jane: Risa: Jane: Risa: Jane: Risa: Jane: Risa: Jane: Risa: I was woken up by the earthquake this morning, and couldn't go back to sleep after that. Nothing fell on the floor or was damaged, but definitely it was a big one! I was scared! Yeah, it woke me up, too. I haven't felt one like that in a while, but I think I was too used to those shakings. I went to sleep right after. Weren't you scared, Risa? Yes, but just a little. I think I'm afraid of a really big one, like the one in Tohoku in 2011, anyway. You know, you can't be just scared ( ) preparing for disasters, Jane. Do you know what to do in an earthquake? There are almost no earthquakes in your country, right? No, I haven't experienced one in the U.K. Can you tell me what to do? Sure. The first priority is your safety. Hide under a desk or table to protect your head. Stay there until the earthquake stops. Then be prepared to move to a safer place. I'm sure we'll do some simulations in the evacuation drill held at school next Monday. We'll learn there what's important to do during an earthquake. Wow! That sounds great. I'm looking ( 1) the drill now. Maybe we can get "Moriyama-ku Evacuation Map" after the drill. It shows you (in, where, should, you, a disaster, go ). Jane: Risa: Oh, I'm glad to know that. You should make an emergency kit, too. Our family has made one each and put them near their bed. I see. Can you tell me how I should make it? Well, I'll send you an email later then. Jane: * I'm getting less scared, Risa. Thank you very much. Risa: You know, Jane, "Don't be scared; be prepared."! woken wakeの過去分詞 definitely 確かに in a while しばらく be used to ・・・・・・に慣れている right after その後すぐに priority safety hide En

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English Junior High

あ に入るのは、until か withoutのどちらですか? 解説もありでお願いします!

Jane: Risa: Jane: Risa: Jane: Risa: Jane: Risa: Jane: Risa: Jane: Risa: Jane: Risa: I was woken up by the earthquake this morning, and couldn't go back to sleep after that. Nothing fell on the floor or was damaged, but definitely it was a big one! I was scared! Yeah, it woke me up, too. I haven't felt one like that in a while, but I think I was too used to those shakings. I went to sleep right after. Weren't you scared, Risa? Yes, but just a little. I think I'm afraid of a really big one, like the one in Tohoku in 2011, anyway. You know, you can't be just scared ( ) preparing for disasters, Jane. Do you know what to do in an earthquake? There are almost no earthquakes in your country, right? No, I haven't experienced one in the U.K. Can you tell me what to do? Sure. The first priority is your safety. Hide under a desk or table to protect your head. Stay there until the earthquake stops. Then be prepared to move to a safer place. I'm sure we'll do some simulations in the evacuation drill held at school next Monday. We'll learn there what's important to do during an earthquake. Wow! That sounds great. I'm looking ( ) the drill now. Maybe we can get "Moriyama-ku Evacuation Map" after the drill. It shows you (in, where, should, you, a disaster, go). い Oh, I'm glad to know that. You should make an emergency kit, too. Our family has made one each and put them near their bed. I see. Can you tell me how I should make it? Well, I'll send you an email later then. z I'm getting less scared, Risa. Thank you very much. You know, Jane, " Don't be scared; be prepared."! woken wake の過去分詞 right after その後すぐに definitely 確かに in a while しばらく be used to ・・・・・に慣れている priority safety hiden332

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Mathematics Senior High

なんのために最後に漸近線を求めているのですか?

重要 例題 78 z を 0 でない複素数とし,x,yをz+ 1 2 =x+yi を満たす実数,αを0<a</ を満たす定数とする。z が偏角 αの複素数全体を動くとき、xy平面上の点 (x, y) の軌跡を求めよ。 *U*2301 [類 京都大] 重要 26 解答 指針偏角αの範囲が条件であるから、極形式z=r (cosatisina) (0) を利用。 ■iの形に表すことにより,x,yをそれぞれr, aで表す。 12+- 2 つなぎの文字を消去 して,x,yだけの関係式を導く。なお、>0や0<a< より, xの値の範囲に制限がつくことに注意。 ゆえに TOADE z=r(cosatisina) (x>0,0<a</1/2)とすると ゆえに 0<a</であるから よって r+ cos a' - 1 (cosa + sina) == ² ( cos x r= 2 COS r 2 -=1から 練習 ③78 1 z+ -=r(cosa+isina)+¹(cosa-isina) 2 * = = =(r+ + )cosa+i(r— — )sina cosa, y=(r-1) sina x=(x+1/27) 1 x 2 cos a x² Acos2a 双曲線 w=z+. =r+ r a² cos a よって x≧2cosa また, >0 から ゆえに したがって 求める軌跡は osax + cos a>0, sin a>0 y sina y 表す図形 (2) r sin a したがって 4sin² a ここで, >0であるから, (相加平均) (相乗平均) により x²y² COS α -(tana)x<y<(tana)x 4 cos' a 4sin'α ;-). - / - ( 1 x =2 2. 等号はr=1のとき成り立つ。 _____________> +___>0, sina sin a COS α sina sina)=1 COS α COS α 63401 -=1のx≧2cosα の部分 < 絶対値や偏角αの範囲 に注意。 1 2 =-{cos(-a)+isin(-a)} ◄2+1/2=x z+ =x+yi 検討 第4章で学ぶ極 限の知識を用いて, y が実数 値全体をとりうることを調べ ることもできる。 lim m(x-¹)=∞, に lim (-1)=-∞であり, sinα> 0から lim y=-∞, limy = ∞ r+0_ →0 点 (x, y) の軌跡は次の図の 部分。 (0) y=(tana)x を求めている -2cosa / 2cosa y=-(tana)x 0 でない複素数zが次の等式を満たしながら変化するとき, 点z+-が複素数平 面上で描く図形の概形をかけ。 (1) |2|=3-(2) |z−1|=|z-i| 139 2章 10 媒介変数表示

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Mathematics Senior High

なんのために最後に漸近線を求めているのですか?

重要 例題 78 w=z+ a² 0でない複素数とし,x,yをz+ 1 2 を満たす定数とする。 zが偏角 α の複素数全体を動くとき、xy平面上の点 (x,y) の軌跡を求めよ。 時で [類 京都大] 重要 26 指針偏角αの範囲が条件であるから,極形式z=r(cosa+isina) (0) を利用。 1を の形に表すことにより,x,yをそれぞれr,αで表す。 1 z + 解答 Iz=r(cosa+isina) (r>0, 0<a<- >60120 * ゆえに 0<a < 1/2 よって つなぎの文字を消去して, x, yだけの関係式を導く。 なお,00<a</ より、xの値の範囲に制限がつくことに注意。 HOOVER 練習 78 1 z+ -=r(cosa+isina)+(cosa-isina) r+ = (r++)cosa+i(r— — )sina r= cosa, y=(r1) sina x=(y+/-/- であるから r COS α x 双曲線 x ゆえに COS α r 2 x y x 1² ² = 1 +5 +²1² (cosa + sina) (cosa = 2 COS x #601 cos a x≧2cosa -=rt π <<//) とすると よって また,0から ゆえに したがって、求める軌跡は 表す図形 (2) + 4 cos² a cos a>0, sin a>0 y sin a r y sina 図 x2 したがって 4 cos² a 4sin² a ここで,y>0であるから、(相加平均) (相乗平均) により 1 + 122 √/1.7 CAGLEDEYSET =x+yi を満たす実数,αを0<a< π x cos a -(tana)x<y<(tana)x 4sin'a + sinα =2 y > 0, x COS α T y sin a y sin a 等号はx=1のとき成り立つ。 J=1 x y ->0 sin a COS Q -=1のx≧2cosα の部分 絶対値や偏角αの範囲 に注意。 700円 =—-{cos(—a)+isin(—a)} ◄z+1=x+yi r38670 10. 面上で描く図形の概形をかけ。 (1) |2|3|z-1|=|z-i| 検討 第4章で学ぶ極 限の知識を用いて, yが実数 全体をとりうることを調べ ることもできる。 lim(r-1)=∞, lim 1 (₁ - ²) = -₁ ∞であり、 +0 sinα> 0から 17 新東線 limy=-∞, limy=8 r+0 点 (x,y) の軌跡は次の図の を求めている T2= -2cosa yay=(tana)x (1) -------- 1 0 でない複素数zが次の等式を満たしながら変化するとき, 点2+ / 2cosa y=-(tana)x が複素数平 139 2章 10 媒介変数表示

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