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Mathematics Junior High

どのような式から1:3になるのか教えて下さい

170 例題 4 右図の1辺12の立方体で,辺 AD, CD の中点をそれぞれ M.Nとする。 3点M,N,F を通る平面でこの立体を切断する。 (1) 切断面の面積を求めなさい。 (2) 切断してできる立体のうち、点Bを含むほうの体積を求 めなさい。 [解法] (1) 切断面の切り口は神技 86 (P.173) 五角形となる。 ETL 図で,△DNM ≡△CNL だから, CL=6 (=AK) また,ALCJ S △FGJ だから, CJ : GJ = CL : GF = 6:12 =1:2 AKIM = ALIN=123AKFL △] ここで,求める五角形の面積は、 AKFL - (AKIM + ALJN) = AKFL (2) 求める立体の体積は、 よって, CJ = 4 (=AI), JG=8 (=IE) ここで, BFL で三平方の定理より, FL = BL2+ BF 2 √18° + 122 = 6√13=FK KL = √BL² + BK² = √18² + 18² = 18√/2 また,右の下図で, OL=18√2+2=9√2 だから, OF = √FL² - OL² = √(6√/13)² (9√2)² = 3√/341, ところで, KI: KF = KM:KL= 〔:3だから, △KIM: △KFL=1" : 3'=1:9, = 18 x 18× 1/1/201 HED CIA x x 12×1/3 -6x6x/1/2× =1/3×1 x OF KLX0FX1/1/2=1/1/3× = 42√/17 1/2×4×1/3× X 7 (三角すいF-KBL) (三角すいI-KAM) (三角すい J-NCL)} ここで(三角すいI-KAM)=(三角すいJ-NCL)に注意し、 BF x = BL X BK X ×1/12×B×1/3-CLCN ×1/21×CJ×1/3×2 B F B TF (AE)-(HOT-1 AKFL×2=△KFL x2 = 600 12 K 6√13 A E: ALI E: 12 K M -18/2 3√34 × 18√2 × 3√34 × M 0 M G N HI:1 Hd, a 1 D H D H L 6,13 2 01.01 解答 42,17

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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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