Grade

Type of questions

Mathematics Senior High

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(1) (2) 1 - (イ) [∞] [s] ∞] [4] [∞] (1) [2] 太郎さんと花子さんは次の 【問題1】 について考えている。 【問題1】 O n] [s] [* SMAS 2次関数f(x)=x-2x+c (cは定数) がある。 x≧0 を満たすすべてのxに対し、 不等式f(x) ≧0 が成り立つようなどの値の範囲を求めよ。 この【問題1】 に対して, 花子さんは以下のように解答したが, 【花子さんの解答】を 読んだ太郎さんは、この解答が間違いであることを指摘している。 【花子さんの解答】 f(0) = c であるから、求めるcの値の範囲はc≧0 太郎:y=f(x)のグラフを考えたかな。 まずはグラフの軸を確認しよう。 花子: 軸は直線 x = で,グラフは下に凸の放物線だね。 太郎:そうだね。それでは、花子さんの求めた 「f(0)≧0」 すなわち 「c≧0」 が成り 立つときに,x≧0 を満たすすべてのxに対しf(x) ≧0」が成り立つのかな。 次の3つの y=f(x)のグラフはすべて「f(0)≧0」を満たしているけれど, は x≧0 を満たすすべてのxに対し, f(x) ≧0」が成り立っていないね。 花子:本当だ。「f(0)≧0」 が成り立てばよいと考えていたことが間違っていたね。 にあてはまる数を答えよ。 V O x≧0 を満たすすべてのxに対し, f(x) ≧0 が成り立つ条件は f(0) ≥ 0 にあてはまるグラフを、次の1~3のうちから一つ選び、番号で答えよ。 2 3 0 (3) 太郎さんと花子さんの会話を参考にして,次の 【問題2】を解け。 【問題2】 V 2次関数g(x)=x-2x+α²-3a+1 (aは定数)がある。x≧0 を満たすすべてのxに 対し、不等式 g(x) ≧0 が成り立つようなaの値の範囲を求めよ。 3 (配点10) 2つ とする。 (1) y= O (2) 2 (3) ev

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English Senior High

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Ⅰ 次の英単語で最も強く発音する部分(第一アクセント)を、 それぞれ記号で答えなさい。 d 2. a-bil-i-ty 3. access 4. va-ri-e-ty 5. in-tro-duce del-i-cate アイウ アイウェ アイ アイウェ アイウ Ⅱ 次の英文を読み、 設問に答えなさい。 How many hours a day do you spend on your *cell phone? Today, more and more young people are spending more and more time on smartphones and computers. According () a 2013 *survey carried out by the *Japanese Cabinet Office, 97.2% of high school students owned a cell phone; of these, 82.8% had a smartphone. This is a *drastic increase from 2010, when only 3.9% of those with cell phones had smartphones. The survey also shows that the spread of smartphones has led to increased access to the Internet among children, whose average access time on a weekday is 107 minutes. The Cabinet Office also found that 40% of Japanese children *log on to the Internet more than two hours a day, and that 8% spend more than five hours a day online. This has led to some serious social and *psychological problems. Heavy Internet users become *obsessed with staying online and develop an *addiction to games, social media sites, and free communication systems such as LINE. The various *adverse effects of such addictions have been reported in most developed countries. Many young addicts suffer (2) headaches and sleep disturbances such as *insomnia. They fail to maintain normal weight *due to eating irregularities. And many are more likely to experience emotional distress, isolation, anxiety, and depression. A British study suggests a clear link between excessive Internet use (3) lower self-esteem. Those young people who spend more than A four hours a day looking at a screen are particularly *vulnerable to mental *disorders. -No H Several related studies conducted in China make clear the effects of Internet use on brain structure. One study has shown that *volume @losses were seen in the *gray matter areas of Internet addicts' brains. These areas are involved in people's ability to develop *empathy and compassion for others. Another Chinese study used MRI scans to look at the brains of Internet-addicted teenagers and found significant damage in the *white-matter nerve fibers connecting the brain areas governing emotions, decision-making, and self-control. Similar (4) can be seen in the brains of heavy alcohol and drug users. () cell phone: ## survey: drastic: 極端な log on: アクセスする obsessed with ~ : ~に夢中になる addiction due to~: ~のため volume: white matter: insomnia: TRE disorder: , empathy: # 1. ( ) ①~④に入れるのに最も適した語をそれぞれ一つずつ選び、その記号で答えなさい。 (with into A to = at) 2 ( from = above) □in Japanese Cabinet Office: A psychological: 心理的な . # adverse effects: vulnerable to~: ~になりやすい gray matter: K ハon

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