なぜ4点ABCDから出来る平行四辺形はこの3つだけなんですか？？円順列的に考えて3つの並び替えで3!で6通り存在しないのは何故ですか？？

Think 例題 C2.9 複素数平面での平行四辺形の頂点 形式 (365) C2-1 **** 複素数平面上に4点A(1-2), B(z), C(iz), D(z) を定める. 四角形 ABCD が平行四辺形であるとき, 複素数 zを求めよ. 考え方 四角形ABCD が平行四辺形であることをベクトルで表すと, AB=DC であるから 複素数平面でA(α), B(β), C(y), D() のとき, β-α=y-δ である. 四角形ABCD が平行四辺形より, AB = DC, AB/DC 解答 である. よって、 z-(1-2i)=iz-ス つまり、 z=(i-1)z+(1-2i) ①の両辺の共役複素数をとると, _z= (-i-1)z+(1+2i) ここに①を代入すると, ① www D(z) C(iz) O B(z) (8O+AO)SAA(1-2i) z=(-i−1){(i−1)z+(1−2i)}+(1+2i) したがって, 0% z=2z-2+3i z=2-3i 0 th 1=2+b)+(nds) ① OAO)+(内 (別解)四角形ABCD が平行四辺形のとき,対角線 AC と BD の中点は一致するから、 A (1-2)+iz 2 た z+z32. OA 2点α, βを結ぶ線分 (S)(1) A01:1 したがって, ad よって, (1-iz+z=1-2i の中点は, a+β (1-2i)+iz=z+z 2 (p.C2-52 参照) ①の両辺の共役複素数をとると, (1+i)z+z=1+2i.......② ① ×(1+i) ② より を消去すると, z=2-3i Focus 四角形ABCD が平行四辺形A0 .00 x+Q+D AB=DC または AD=BĆ あるいは、対角線の中点が一致 z= a + bi (a,b は実数) とおくと, z=a-bi これらを,z-(1-2i)=iz-zに代入して解くこともできる。三 "はABC AD 習 例題 C2.9 の4点 A, B, C, D が平行四辺形の頂点となるような複素数zのうち, 2.9 例題 C2.9で求めた z=2-31 以外の z をすべて求めよ.

この英作文の添削をお願いします！ テーマは 政府は宇宙探索にお金を使うべきか？ です！(ざっくりというと) 自分でスペル違うなって思ったところは治しました🙇‍♀️ 添削お願いします！

埼玉大文系前 2022年度 英語 23 Answer in a short essay between 120 and 150 words in English. Some people think governments should spend as much money as possible exploring outer space (for example, e, travelling to the Moon and to other planets). Other people disagree and think governments should spend this money taking care of our basic needs on Earth. Which of these two opinions do you agree with? Use specific reasons and details to support your answer.

下の2文の( )を教えてください🥲🙏🏻 その機械を使えば、かなり時間を節約できるでしょう。 You ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) using the machine. 【 able,time,will,a lot of,b... Read More

With the ban in place, 「禁止が実施されている」 どういった文法で、なぜこのような意味になるのですか？

密輪の手口 禁止が実施されている現在、密輸業者たちは、取引を組織したり、 露見を逃れ を越えて象牙を輸送したりするために, 衛星ナビゲーション装置を使っている。 取引を止める取り組みは足踏み状態である。 「密輸業者たちは私たちよりも洗練 不平を漏らした。

下線部7と選択肢の文が全部同じ内容のように見えるんですけど何が違いますか？

Such arguments are misconceived. Latin was once a major language, despite the fact that it seems grammatically much more complicated. (7) A language does not become a global language because of its intrinsic structural properties, or because of the size of its vocabulary, or because it has been a vehicle of a great literature in the past, or because it was once associated with a great culture or religion, A language has traditionally become an international language for one chief reason: the power of its people especially their political and military power. -

複素数の問題です。(ここで、)から下は何を意味しているのでしょうか？

1/27 例題 C2.15 複素数の極形式 z= cosa+isina, z2 =cos β+isinβ のとき, +22を極形式で表せ. ただし, 0α <π, 0<B< とする. 考え方 +22=(cosa + cosβ)+i(sina + sinβ) 「解答 **** ここで, cosa + cosβ, sina + sinβに対して, 三角関数の和積の公式を利用する. 21+22= (cosα+isina)+(cosβ+isinβ)=(cosa+cosβ)+i(sin a + sin β) 三角関数の和 → 積の公式より、 2) cosa + cosβ=2cos a+β a-ß COS- 2 2 sina + sinβ=2sin a+β a-B COS 12 2 よって,z1+Z2=2cos とすると a+β a-B a+B COS- +1-2sin a-B 2 COS 2 2 2 OPLOP 10=2cos B =2cosa & (cosatβ+isina+色) 2 ここで, 0<α <π,0<B<πより0α <<<0 兀 α-Bπ よって,-π<a-β<π より 2 2 2 di cosa-β>0であるから,z+zの 2 絶対値は, 2cos a-β 偏角は, a+B 2 2 V(d(i d(iz.) これらから、+22 を極形式で表すと, ¥ 2 cos a-B (cosath tisinata) a-β 2 -B/C 2

16はなぜAではだめなのでしょうか。 そして17の下線部のlikeは「好む」という意味で取ってないと思ったのでAにしたのですがどういうふうに解釈すればいいですか、、😭

4 Jim: (Questions 16 to 22) Read the conversation and select the best option for each question. Clerk: Can I help you? Yeah thanks do you have this blue shirt in a bigger size? I can only see “smalls” and "mediums" on the shelves... Clerk: Let me see... Sorry, but "large" is sold out. We don't have many long-sleeved shirts left because it's the end of winter, and that particular style has been popular. But we have it in an "extra-large," would you like to try it on? Jim: That sounds like it might be too big... Clerk: To be honest, these are slim-fit shirts, so an "extra-large" is more like a "large" in other styles. Jim: Oh really? OK, let me try it on... You're right, the fit around my body is perfect! But the sleeves are so long they cover my hands! Can you recommend anything else? Clerk: Hmmm... Do you mind if it's a different style? Jim: ( 16 ) I want a blue shirt, but apart from that I don't care much. Clerk: In that case, what about this short-sleeved blue shirt? It's "large," and it's from our Spring Collection. Jim: (17) Well, I know I said I didn't care much, but I'm not a fan of collars with buttons. I feel like I should be wearing a tie with those ones! Clerk: Ah, I see. Well, how do you feel about a patterned shirt? We have some nice blue shirts with stripes, dots, or flower designs. Jim: (18) Clerk: Sure. Here is a light blue one with thin stripes, and over there we have a dark blue one which comes in thin or thick stripes. 1:1-4h thick strines but that one only comes in dark blue, right? ined light

受動態の問題です。教えてください!

Choose the better option. 1) This rabbit is taken care (of/of by) my brother. 2) Satoshi was (satisfying / satisfied) with his test score. 3) This story was told (to/for) us by our teacher. 4) I was caught (in/in by) heavy rain on my way home from school. 5) When I made a mistake, I was laughed (by / at by) my family.

4問とも答えを教えてください

DE 8 Complete the conversation at a department store by writing sentences that cover facts (1) to (4) in the box. (1) どこ製の腕時計か。 (2)見たところ, 新しそうだ。 (各4点) (3) いつごろの製造か。 (4) ベルト (band / belt) に描かれている図柄 (picture) の意味は何か。 You: I'm looking for a watch for my father's birthday. Can I ask you to show me some? anotasup or owens bre Clerk: Sure! How about this one?ugninis al i nodw eallondmus ed 点) You: Well, (1) ni sloooq joyga jasions alaist not beau to s vodT qua edilo jdgil gnola ert bold of allondinu Clerk: Let me see... Here. It says Italy. You: Oh, it's nice. (2) ai stqosq (3) Clerk: Ummm. I'm not quite sure, but it's not that old, I suppose. You: OK. And, (4) um XII で Clerk: It means you can go swimming or take a shower with it on! 点) You: I see. I'll buy y this watch. Thanks for your help!

高校1年生の問題です。 aとbの文章がほぼ同じ意味になるように英語をいれる問題です。 (6)、(7)、(8)に入る答えを教えてください。 (6)のモザイクはあってるか分からないのでかけました。

a. The result of the exam satisfied their teacher. b. Their teacher 7) a. Toyotomi Hideyoshi relied on Maeda Toshiie. b. Maeda Toshiie relied 8) a. All the students must follow the school rules. b. The school rules must the results of the exam. Toyotomi Hideyoshi all the students.