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Mathematics Senior High

なんでこのような図になるんですか?

値 ます。 値の <. きいの が最大 xyの値 1. 件に対 3. 大きいの の向きは と一致 のとき, 23より、 27=2√2 その 例題 182 対数不等式と領域 不等式 10gyx/1/2を満たす点(x,y) の存在する範囲を開示せよ。 ( 津田塾大・改) 考え方] sagol 真数と底の条件 (数) > 0 (底)> 0, (底)1 底の値と真数の大小関係 a>1 のとき, 0<a<1のとき, logaplogag≧27 不等式の表す領域は,まず不等号を=とおいて境界線を求めるとよい。 ■解答 真数は正であるから, x>0 ……… ①1 aol 底の条件より, y>0,y=1 ......A 与式は10gx1/27より。 logyx 12logyy 2 対数と対数関数 (i) y>1 のとき, x≤y ² logyx≤logyy 1440L closely 1-> Focus 境界線は,放物線y=x2 (x0,x≠1) を含み, 直線y=0, y=1, x=0 を 含まない. 両辺はともに正より,両辺を2乗して、x≦y (i)0<y<1のとき,xyz S- 両辺はともに正より,両辺を2乗して, xzy よって, ① と(i),(ii)より, 求める領域は右の図の斜線部分 になる。 01 logaplogag Dsq 底が1より大きいか0と1の間かで場合分けを行う **** る範囲を図示せよ。 y>0より、真数の 条件を満たす。 不等号の向きは対数 の値の大小と一致 y-2log, x>1 不等号の向きは対数 の値の大小と逆 例題182 は, (i) y≧x2, y>1とx>0 (ii) y≤x², 0<y<1 t x>0 の表す領域を図示している。 ④ の条件は (i), (i) を場合分けするときに使用しているが ① は使用していないので、忘れないように注意しよう。 (人のy>0,y≠1 は 0<y<1, 1<y のことである。) 333

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English Junior High

問2の解説を詳しくお願いします。

次の英文は、裕太(Yuta)が書いたものである。これを読んで、後の各問に答えよ。 "So, let's continue making an introduction about your fathers," said our English teacher, Mrs. Yashima one month ago. This class was Dmind-numbing, and I was thinking of the way to kill the time during the class. 4 I didn't know much about my father He was always busy working, so I didn't have any memories of playing with him at all. He came home late at night, woke up earlier than me, and left for his workplace without having breakfast. On weekends, he was always watching news programs which never interested me. When I looked out of the window, a friend of mine who was living near my home was playing catch with his father, and I projected myself on him. When we were having dinner, he never asked me any nice question. He always said to me, "How are the school and the club going?" I only said, "Not bad," because I thought that he had no interest in my school life or club activity. I didn't know about my father well, but I remember the other face of him. He sometimes repaired things in our home such as the TV set, chair, or bicycle. I wasn't interested in it at all until a neighbor told me a story about my father. She always took care of me when my parents were busy. "Your father is a good person," she said. "He always repairs broken things with a smile. It was just like magic." And she gave me some cookies. I knew about my father a little. The other day, I visited a factory as a part of social study class, and a man spoke to me, "Oh, your last name is..., are you his son? When I was working for another company with him, he took good care of me. He sometimes scolded me, but taught me a lot of things. So, I respect him so much." I knew about my father well. When I told my father about the man, he said to me, "Keep the friendship all the time. If you give a hand to someone, the person will give you a hand back someday. Just remember it." At that time, I understood that my father was a hard worker and he was respected by many people. Though he was a serious and silent person, I felt I knew him for the first time. 2022(R4) LAMANG

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Mathematics Senior High

(1)の答えの方で下線を引っ張ったところが分かりません。

506 第8章数 Check 例題 289 格子点の個数 解答 列 disol (E) を自然数とするとき, 次の条件を満たす整数の組(x,y) はいくつある tugal Staol 15coll Segol I-90 .sol.3.8.gol Sigol か. (1) p≤lyl≤2p, p≤lx|≤2p058 p²=Sagol (1) (2) x+2y≤2p, y≥0, x≥0TI «ĆÏUS?ĆU A U (学習院大改) (3) 0≤y≤500, 0≤x≤√y 4stor for 考え方 座標がすべて整数である点を格子点という. I=Dagal D-14gol (1),(2) 具体的な数を入れて考えてみるとよい。 たとえば, (2)では, YA p=1 1 20 p=2 1 2 XC 0 となり, p=1のとき, 1+3=4 gol 3 ここでは、与えられた条件を LLUS x 100_n. (3) 0≤x≤√y , (0≤) x²≤y x=p上にある格子点の個 数は, p=2 のとき, 1+3+5=9 p=3のとき, 1+3+5+7= 16 p=4 のとき, 1+3+5+7+9=25 (1) 領域は、 右の図のように, 1辺の長さかの正方形 4つ分 である. y 30 O 0≤y≤500, 0≤x≤√y ≤√500=10√5 = 22.4 より、 右の図のようになる. 0805=23-10- p=3 x=k上にある格子点の個数を考える. -2pi (x≥0 1x² ≤ y ≤500 と変形し 6 YA 3 2p P 0 -p -2p となっている. 10.2.0+81 HO 一般に,直線 y=k(k=p,-1, ..., 0) 上には,それぞれ1,3,5, …, (2p+1) 個の格子点が並んでいる. y p2px 3---(2,3) 0 2x YA 43 p=4 ... **** Hol CARDA g TERA 500円 aros-40-88- 0 p+1 カ - p, p+I 格子点 y=x² 22 x y=p, p+1, , 2p, -p, -p-1, ....... -2p の{2ヵ-(p-1)}×2=2 (p+1) (個) 同様にして, x=p, 2p, -p, -2p 上の格子点の個数は, それぞれ, 2(p+1) 個(エ+s線の数は2(p+1) 本 KERARU |x=p上の格子点の個 数は2(+1) 個 −ħ5, x=p, .···.··., 2p, 2pの直

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English Senior High

問1(B) 答えは4ですが、2がダメなのは何故ですか? it was too fast で トーマスがフェンスを登るのが速かった になるので、2でもいいと思いました。 (c)答えは2ですが、驚いて助けたという意味で3もありなのではと思いました。

UNIT J 15 出題データ ■ワード数: 354 words ■難易度 : 超基礎 ●解答と解説:本冊 p.68~79 ■目標解答時間: 20分 kmon yitirbame 次の英文を読み、後の問いに答えなさい。 al UNIT 5 But ( D ) the zoo worker arrived, a gorilla went over to Thomas. It was Binti Jua, an eight-year-old mother gorilla. She had her baby gorilla on her back. With one "arm" she picked up the little boy. She carried him carefully over to a door, walking on 25 three legs. There she put Thomas down so a zoo worker could get him. mart qisilbin, 70100) It was a hot summer day in Chicago. The Kemper family decided it was a good day to go to the Brookfield Zoo. Janet and Kevin Kemper had two children: Thomas, 3, and Sally, 6 months. 30 Thomas loved going to the zoo. He liked watching all the animals, 5 but he especially loved the gorillas. The Kempers went straight to the gorilla exhibit. There were six adult gorillas and a three-month-old baby gorilla. In the Brookfield Zoo, the animals are not in cages. They are in large areas dug out of the ground. These areas have fences around 10 (1) them so the animals cannot get out and people cannot fall in. But three-year-old boys ( A ). While the Kempers were watching the gorillas, little Sally started to cry. Kevin took her from Janet, and Janet looked in her bag for a bottle of juice. In those few seconds, Thomas climbed up the fence. A woman saw him and shouted, "Stop him!" A tall man reached up to get him, but it was too (B). Thomas fell down the other side of the fence. He fell 18 feet onto the hard concrete floor. (2) He lay very still, with blood on his head. Janet and Kevin shouted for (C). People crowded around the fence, and someone ran to get 20 a zoo worker. Janet and Kevin ran to the door, too. Thomas was badly hurt and had to go to the hospital, but after a few days he was better. The story was on the evening news in Chicago. Some people cheered and others cried when they heard it. But many of them thought about that mother gorilla and asked themselves, "What is she doing in a zoo? What is the difference between a gorilla and me?" trid, jun but entre e *[*] the gorilla exhibit show ■設問■ 1. (A)~(D) に入れるのに最も適当なものをそれぞれ①〜 ④ の中から1つ選んで マークしなさい。 (A) 1 like to take care of animals 2 cry when they see the gorillas 3 are good climbers 4 are interested in watching the animals early (2) fast 2 help 2 though (B) (C) 1 cry (D) before 3 heavy 3 surprise 3 if late 4 the gorillas 4 until 17

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Science Junior High

黒丸しているところを教えてください!

No.2 Susan: I heard you had lunch at Masato's house. How was it? soup/ Kenji: It was great. (delicious/cooked/the so/his mother/ was). Susan: Wow. Ⅰ want to try it, too. 次の1,2の会話について, それぞれの [ ]内の 13 語を正しく並べかえて, 英文を完成させなさい。 1. (放課後の教室で) Yuki: Mary, what are you doing here? Mary I'm [at/boy/looking/playing/the] soccer Yuki <鳥取県 > Mike Takashi: About ten o'clock. Mike 14 over there. He is so cool. Oh, that's Kenta. He plays soccer very well. 2. (昼休みの教室で) Takashi: Hi, Mike. I'm going to study for the test 18 with my friend on Saturday. Would you like to join us? : I'd love to. When will you start? : I have to clean my room, so I will [call/I / leave/when/you ] my house. 次の12の対話文の [ ]内の語句を並べかえ て, 意味の通る英文を完成させなさい。 ただし, ]内の語句を全部使うこと。 Miki: Why don't we wear the same T-shirts at the school festival? <岐阜県 > 15 17 文を完 た B: Miki: OK. Let's go there. 2. Linda: You look happy. Haru: Yes, I am. Tom (these / gave / beautiful / me/flowers). <高知県 >> (2) 次の会話の下線部について、()内の語を並べか え、意味のとおる英文にしなさい。 Jane: That's a good idea! I (that/ sells/know/ 19 cool/a shop〕 T-shirts near my house. 記号: (1) (2) PRO ( -156-

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TOEIC・English Undergraduate

(2)、(3)がわからないです。 2はそこには神社と寺がたくさんあるとあるのでwhereではないのですか? 3もなぜwhichが入るかわかりません。 理解が遅いですが教えていただけると嬉しいです。

✓ 前の文を先行詞とする which 非制限用法のwhich には、先行詞が前の文の一部または前の文全体を 先行詞とする用法がある。 下の文では, which が前の Jane was on time this morning (ジェーンが今朝時間通りに来た)を受けて, それが 「みんなを驚 かせた」ことにつながっている。 Jane was on time this morning, which surprised everyone. (ジェーンは今朝時間通りに来たので、それはみんなを驚かせた) ✓チェック 33回 11/4, 10/24 8/31, 918 次の文の空所に入る適切な語(句) を下から選び,記号で答えなさい。 (1) M (1) My favorite book ( )I borrowed from the library, is about life in おりもこ Japan 100 years ago. ア what ア what 解答別冊 p.12 ウ that I if O (2) You had better visit Kyoto ( ) has many shrines and temples. 神社 イ which ウ where (静岡市立静岡看護専門学校・清水看護専門学校) イ which (3) We tend to think of him as unsociable, () is not the case. ~しがち 人づき合いか ア this イthat ウ which 苦手 エ whatedT (竹田看護専門学 10.05. (5) ( )you want, I'm happy to give it to you. C Sino an ア Whoever My brother;( ) you met here yesterday, wants to see you. ア that イ which ウ who 7even if 819 10/2 2-34 (島田市立看護専門学校 ) (6) I'd rather have a room of my own, () small it may be. ほしい however イ whatever (呉共済病院看護専門学 イ Whatever ウ Wherever I Whenever (鶴岡市立荘内看護専門 (愛仁会看護助産専 item 33 関係

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