Grade

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Mathematics Senior High

19⑴って別にADとBCじゃなくてもABとCDでもよくないですか?

4 B 15 月 6 火 17 水・共通テスト3(9日) 意 予備日 金 1252 (162) 特 4- -4STEP数学Cベクトル 18 (1) OB (12, 5) JOB = √12°+5=13 (2) AB= (12-2,50)=(10.5) ABI = √10°+5°=5/5 (3)BC=(4−12,4-5)=(-8,-1) |BC = √(-8)2+(-1)=√65 (4) AO=(0-2, 0-0)=(-2.0) [AO|=√(-2)2+0=2 10 12 No. 210 0120-416 +35-20=13 ・56 -> -45+2t=2 -2724 2=3 t22 -S 2-2 92 1=5 113 (1.2) 15/12(3.0)=3/10, 2)2/09(2,3)=116/0(3.2.11 [14 (1) (3-6)= 9/5 & \(-2; 4) = 2/5 (3) (-2, 0)=2(4)(-4,4)=452 (-71-10)=(5)1-15,14)=142116(1)(251352t)=(7,-4) 115(1)11=133=記(2)==22+5h よって(音音)/(一)(2)3 13 112 K(3-1)=(9-2x)-5+x) -3K=7-2x 15 B -K=-57x 16 月 +15=72xx=48 1=5-2 18(1)(12,5)=12(2)(10,5)=5/5(3)(-8,-165(4)(2.0)=2 19AB=(-3,5)-(a+3,-2) A=10-2,ℓ)=(-21-3) 02760197-474-34 d-qat4tb2=13 08 第1章 平面上のベクトル 第1節 平面上のベクトルとその ゆえ □ 19 (1) 4点A(2,0),B(-1,5), C(-3, 2), D を頂点とする四角形ABCD が 平行四辺形であるとする。 頂点Dの座標を求めよ。 4 ベクトルの内積 また 19 (1) 四角形ABCD が平行四辺形であるための 必要十分条件は AD=BC である。 別解 ① 頂点の座標を(x,y) とすると AD=(x-2y-0)=(x-2y) BC= (-3-(-1), 2-5)= (-2,-3) であるから 21 1回の頂とは よ (2) A(2, 4), B(-2, 1), C(-1, -7), D(-5, -2), E(7, -17) 3. (ア) ベクトルを用いて, AB/CE であることを示せ。 *(イ) A, B, C, D を頂点とする四角形は平行四辺形であることを示せ。 STEP B 20a = (50) (2,3) とする。 等式 2x+y=a, x+2y=6 を満たす Vを成分表示せよ。 *21 平行四辺形の3つの頂点がA(-2, 2), B(1,3), C(3,0) のとき, 第4の頂 点の座標を求めよ。 *22 d = (x, -1) =(2-3) について, a +36 と 万 -a が平行になるように, xの値を定めよ。 □23a=(2,2),(31) のとき, ぷーち が に平行で,かつ | x + 6 = 4 となるよ うなベクトルxを成分表示せよ。 [1 例題 2 =( tの la+tbl 用する。 a ゆえに (2,1) のとき, la +t6 の最小値とそのときの実数 at が最小となるとき, la+も最小となることを利 (2,1-3+2t, 2+t) 1 ベクトルの内積 ad 60 のときとのなす角を90°0180°) とすると a-b-lab\cos 注意 または =1のときは、との内積を1=0と定める。 2 内積と成分 = (a1.02), = (bi, b2) とする。 1. ab=ab+azbz 以下,060 とする。 2.とのなす角をとすると 3. 垂直条件 4. 平行条件 3 内積の性質 1. à-b-b-a a-6 COS 0=- ただし 00180° ano 66=0aby+azb2=0 /66=106または-6-16」 2. (a+b)-c=a-c+6-c, a- (6+2)= 3. (ka)-b-a-(kb)=k(a+b) 4. a·a=a 実数 5.lala-a STEPA ✓ 25 2つのベクトル, 7について,大きさとなす角けた えられたとき 内積を求めよ。 (1)||=1, |6|=2, 0=45° *(2) ||=4, 261辺の長さが1である正方形ABCDについて、 (1) AB-BC *(2) CB・DA (3) AD-A x2,y)=(-2, 3) よって x2=-2,y=-3 これを解いて x=0. y=-3 したがって, 頂点の座標は (0,-3) (2) (7) AB (-2-2, 1-(-4)) 条件 [1 = (-4,5) CE=(7-(-1), -17-(-7)) =(8, -10) =-2-4, 5) よって ゆえに CE=-2AB AB/CE AB/CE したがって (1) CD-(-5-(-1), -2-(-7)) = (-4,5) AB=(-4, 5) であ るから CD=AB また B AC C A =(-1-2, -7-(-4)) =(-3, -3) よって、 CD と ACは平行でない。 ゆえに, 四角形 ABDCは平行四辺形である。 CD/AB かつ CD/ACのとき, 4点 A, B.C.Dは一直線上にある。 02 + 49 a+tb 49 をとる。 5 よって,| も最小となる。 +1b|≥ 27 次の条件を満たす2つのベクトル, のなす (1)|a|=1,16|=2,b=1 "(2) lal- 28 次の2つのベクトルの内積と、そのな T-(3-6) (2) a

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English Junior High

(1)なぜ、ウではなくエになるのかの理由を教えてほしいです 見づらくてすみません🙇‍♀️

これを読んで、あとの問いに答えなさい。 Hi, I'm Kaito. Today, I will talk about Al "devices. We use many kinds of Al devices lik use it to do work given by humans, I think Al devices can make our lives better. There "robots, "drones, and "smartphones, AI devices collect a lot of information, rememberi still a lot of work AI devices cannot do but they can do some work to make our lives easi Through my speech, I want you to learn more about Al devices and to live with them in the future. imagine how It was held by Kamome City At the event, I learned about many kinds of AI devices I didn't know anything about AI devices before I joined an event about them th that can help humans. we ca this summe 9 with her body, it asked her some questions, and gave her suggestions to make her fee better. A man from Kamome City Office said to me, Though this robot can work like doctor, (D). It cannot replace a doctor. But there will be more robots working in hospitals in the future." At the event, I started thinking about the ways to make Al device nt, I started to learn more about AI devices. I've learned that A this graph. It shows the "changes in the number of farmers in 2010, 2015, and 2020 in devices are used in many different ways. For example, AI devices help farmers. Japan and how old they were in each year. The number of farmers became smaller, and the "percentage of the farmers who were 60 years old and older than 60 years old became larger And now, AI devices are expected to be a great help to farmers. After I went to the event, 605799 Look saw graph : グラフ camera:カメラ changes in color(s): 下線部が表すグラフとして Changes in the number of farme ウ 250 (万人) 200 179.8 175.7 150 152.4 100 138.2 50 27A 2010 ° 37.5 2015 C60 years old and older than younger than 60 years old. Changes in the numbe (万人) 250 200 161.6 175 150 108.9 100 13 50 50 62.7 0 2010 60 years old and younger than t )~( (2) 1 を,あとのア~ there are B humans C robots c ア ウ 1-A 1- B 1 I went to another event to learn how AI devices actually help farmers. One robot I there helped farmers pick tomatoes. The robot has a "camera on it to collect a lot of information about the tomatoes. It remembers the shapes and "colors of "ripe tomatoes and decides when to pick the tomatoes. When it decides to pick the tomatoes, it picks them with its arms. Farmers send the tomatoes that the robot has picked to the stores. At this event, talked with a farmer who used the "tomato-picking robot. I asked him, "What do you think about working with the robot?" He said, "I don't think robots and humans can do all of the same work. But)(2). Today, robots have become very important. The number of young people who want to be farmers has become smaller, because a farmer's work is hard and needs much experience. If robots can do the hard work for farmers, they will improve farmers' lives. I hope more young people will want to become farmers." AI devices are used in our lives in many ways. I've learned that it is difficult for us to live without AI devices in today's world. However, we need to remember AI devices are not perfect. AI devices can remember all the information they collect, but 3). So, we always have to think about effective ways of using them. I hope that more AI devices will be used to help people. AI devices, like the doctor robot and the tomato-picking robot, can improve our lives. So, I want to make AI devices that can work well with humans to make our lives better in the future. That's my dream. Thank you for listening. (E) device(s): robot(s): ロボット drone(s): ドローン smartphone(s): スマートフォン be held 開催される suggestion(s): * City Office T replace: ~に取って代わる BC (3)次のa~ ano あとのア a Kait Kai Ka d Th Ro K eイアオ

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