Grade

Type of questions

Mathematics Senior High

EX76の問題を標問135の研究と同じ解き方で、3x+2y=6nを両辺6で割ってx/2+y/3=nになってx=2k、x=2k-1で場合分けして解くことはできますか。

無問 135 格子点の個数 I, y, z を整数とするとき, ry平面上の点(x,y) を2次元格子点, TYz 空 間内の点(x,y,z) を3次元格子点という.m,nを0以上の整数とすると き,次の問いに答えよ. (1) 2012/21/ysm をみたす 2次元格子点(x,y) の総数 + を求めよ. (2) x0,y0,z≧0かつ 1/3+1/13y+zan をみたす 3次元格子点 (x,y,z) の総数を求めよ. (名古屋市立大 ) ・精講 (1) 格子点をどう数えるかが問題で す。研究でx=(一定) となる直 線上の格子点を順次数えてみましたが, 大変です. そこで合同な三角形を付け足して長方形にしてみ たらどうでしょう. (2) z=(一定)となる平面による切り口を考え ると (1) が利用できます。 〈解答 (1) 0(0,0),A(3m, 0), B(3m, 5m),C(0, 5m) とおくと, 与えられた領域は △OACの周および内部である. △OAC≡△BCA であり,線分 AC 上には (0, 5m), (3, 5(m−1)), (6, 5(m-2)), ···, (3m, 0) のm+1個の格子点がある. =1/12 (15) 1 (2) ²/3x+//y+z<n & {√x+} {y≤n-z 求める2次元格子点の総数Sは, 長方形 OABC の周および 内部にある2次元格子点の総数を T, 対角線AC上の2次元格 子点の総数をLとおくと 0 S=1/12(T_L)+L=1/12(3m+1)(5m+1)-(m+1)}+(m+1) -(15m²+9m+2) 解法のプロセス (1) 三角形内の格子点の総数 ↓ 長方形を考える (2) z=(一定) 平面による切 り口を考える と変形する. z(z=n,n-1, n-2, ..., 0) を固定し, 303 3n x n y+ 5mm 0 -n-m B 3m HA IC 5n 第8章

Waiting for Answers Answers: 0
English Senior High

UNITE STAGE2のLesson11です。 2️⃣と5️⃣と7️⃣を教えてください💦

Reading 00000000000000 Read the passage and answer the questions. The number of foreign tourists to Japan is increasing every 60 year. In 2016, over 20 million people visited Japan for sightseeing. Many of the visitors come from Asian countries near Japan. These tourists enjoy Japan's unique food, traditional buildings, 5 and natural scenery. But the Japanese government wants even more tourists to come. They started a plan to encourage tourists to visit the country more than once. First, the government asked tourists what they want to do during their first visit. Eating Japanese food is the most popular 10 activity. The least popular is skiing. Next, they asked them what they want to do on a second visit. The research shows that few tourists want to do the same activities again, such as eating Japanese food. However, skiing and snowboarding, and nature tours are more attractive for second time visitors than first- 15 timers. The biggest increase is in seasonal experiences, such as seeing cherry blossoms in the spring or falling leaves in the autumn. Clearly, foreign tourists want to experience something new and unique for their second visit. Things foreign tourists want to do in Japan 100 80 60 40 20 0 96.4. 58 ア -75.3- 46.8 87.4 47.6 visiting famous shopping places 3.1 18.2 This time in Japan DAS S Next trip to Japan 7.4 .16.2. nature tour / visiting farms and fishing ports 60-62 12.2 32.1¯ These results are very useful for 61 tour companies. They now 20 make 3 unique tours for foreigners. Some companies even provide tours to schools, farms, and fishing ports. On these tours, visitors from all over the world can enjoy many activities. They can enjoy communicating with Japanese people too. They will surely visit Japan many times. (229 words) 44 QHints scenery (si:nari seasonal [sizan cherry blossom bli 桜の花 fishing port

Waiting for Answers Answers: 0