April 2019 ~ SchoolStuff

Congratulating Others

RifatApril 25, 2019 No comments

Pada kehidupan sehari - hari kita pasti pernah memberikan selamat atas keberhasilan seseorang atau pencapaian yang baru saja dia alami. Nah, sekarang kita akan belajar bagaimana tentang memberi selamat kepada seseorang atau bahasa inggrisnya adalah congratulating others. Mari kita simak contoh kalimatnya dibawah ini.

Expression of Congratulations

Congratulations!
I'm very happy of you!
That's wonderful!
Good for you!
Best of luck!
Well done!
Fantastic job!
You must be very happy with your achievement.
I'd like to congratulate you on your accomplishment!
Please accept my warmest congratulation
I must congratulate you on your success!
Happy Birthday
Happy New Year
Happy Eid Mubarak
Happy Anniversary
Let me congratulate you
I would be the first to congratulate you on...
I would like to congratulate you on
Please accept mywarmest congratulations.
May I congratulate you.
It was great to hear about...
Well done!

Responds to Expresion of Congratulations

It's very good of you to say so
Thank you, I can't forget your help to me
How nice of you to say so
Thank you very much for saying so
I'm glad you think so
Oh, actually it's nothing special
Oh, I have a lot to learn yet
Oh, not really
Oh, nothing to it, actually
Oh thanks'

Contoh Dialog Expression of Congratulations

Dialog 1

Dina : Hi, Yuni. What's your daughter doing these days? (Hai Yuni, apa yang anakmu lakukan akhir-akhir ini)

Yuni : Oh, she's in college. In fact, she plans to graduate this june. (Oh, dia sedang kuliah. Faktanya, dia berencana untuk lulus pada juni ini)

Dina : That's wonderful! You must be very proud of her. (itu luar biasa! kau pasti sangat bangga padanya)

Dialog 2

Rani : Hi Anisa. (Hai Anisa)

Anisa : Hi, you look great in that pink head scarf. What a nice scarf! (Hai, kau terlihat luar biasa dengan kerudung pink. kerudung yang sangat cantik)

Rani : How nice of you to say that. (Baik sekali dirimu mengatakan itu)

Anisa : I've never seen you in that hat. Where did you buy it? (Aku tidak pernah melihatmu memakai topi. Dimana kau membelinya?)

Rani : My mom bought it for me when she went to the market. (Ibuku membelikannya untukku ketika dia pergi ke pasar)

Anisa : I see (Baiklah)

Rani : Look. The teacher is coming! (Lihat, gurunya sudah datang)

Anisa : Pak Sultoni!(Pak Sultoni!)

Mr. Sultoni : Hi, how are you? (Hai, apa kabarmu)

Rani : We're good, thanks.How about you?(Kami baik-baik saja, terimakasih. bagaimana denganmu?)

Mr.Sultoni : Excellent! (Luar biasa)

Rani : I love your hair cut, Pak Sultoni.(aku suka potongan rambutmu, Pak Sultoni)

Anisa : Yes, you are looking good with your hairstyle. (Ya, kau terlihat tampan dengan gaya rambutmu)

.Mr. Sultoni : Thanks a lot. Rani, I heard you won the Math Olympiad. Is it true? (Terima kasih banyak rani. Aku dengar kau memenangkan Olimpiade Matematika. Apakah itu benar?)

Rani : Yes, I won the second prize last week. (Ya, aku memenangkan juara kedua minggu lalu)

Anisa : She is good at it. (Dia yang terbaik di bidang itu)

Mr. Sultoni : I'm glad to hear that. (Aku senang mendengarnya)

Rani : Thank you very much for saying so. (Terima kasih banyak untuk menagatakannya)

Dialog 3

Rudi : Hi Ben. How are you? (Hai Ben, apa kabarmu?)

Ben : Hi, you look great in that black jacket. (Kau terlihat luar biasa memakai jaket hitam,)

Rudi : Thank you for saying so. (Terima kasih karena mengatakan itu)

Ben : I've never seen you in that outfit. Is it new? (Aku tidak pernah melihatmu dengan pakaianmu itu. Apakah itu baru?)

Rudi : My sister bought it for me when she went to Singapore. (Kakakku membelikannya untukku ketika dia pergi ke singapura)

Ben : Oh, I see. (Oh, baiklah)

Rudi : Look. What a nice new hair style! Who did your haircut! I like it a lot. (Lihat. gaya rambut baru yang bagus! Siapa yang memotongnya? Aku suka sekali)

Ben : Oh, Yes I think that way too. My brother did it. I can ask him to do yours if you want to. (Oh ya, kurasa juga seperti itu. Kakakku yang melakukannya. Aku bisa meminta kepadanya jika kamu mau)

Rudi : Yes, please. Look! Andi is coming. (Ya tolong. Lihat Andi datang)

Ben : Hi Andi, I heard you won the speech contest last month. Congratulations! You deserved it. (Hai Andi. Aku dengar kau memenangkan kontes pidato bulan lalu. Selamat! Kau pantas mendapatkannya.)

Rudi : Fantastic! It's a great job, bro! (Fantastis! Itu kerja bagus bro!)

Andi : Oh, thanks. It's nothing actually. (Oh terimakasih. Itu bukan apa apa)

Talking About Self

RifatApril 25, 2019 No comments

A. Greeting Someone

Examples in dialogue:

Dialogue 1

Ranti meets her teacher, MrBakri at the post office.

Ranti : Good afternoon, Sir.

MrBakri : Good afternoon. You are ….

Ranti : Ranti, Sir. My name is Ranti. How are you?

MrBakri : I am fine, thank you. And how about you?

Ranti : I am fine, too.

MrBakri : Well, Ranti. I have to go now. Pleased to meet you.

Ranti : Pleased to meet you, too, Sir.

B. Parting Someone

Examples in dialogue:

Dialogue 2

Andi : Good morning. My name is Andi.

Denias : Good morning Andi. I’m Denias.

Andi :Denias, this is Adib. We were classmates the Junior High School.

Denias : Hi, Adib. How do you do?

Adib : How do you do.

Andi : By the way, did you join pencaksilat extracurricular activity in the Junior High School?

Denias : Yes, I did.

Andi : Oh, that’s great. Adib and I have never joined it before.

Adib : We hope you can help us.

Denias : Sure.

Andi : Okay, see you this afternoon.

Adib : See you Denias.

Denias :See you.

C. Introducing Yourself and Introducing Someone

Example in dialogue:

Stacey: I don’t think we’ve met. I’m Stacey. (hold out hand to shake)

Carl: Hi Stacey. I’m Carl.

Stacey: Hi Carl. So, how do you know Jane?

Carl: Oh, Jane and I used to work together at a coffee shop.

Stacey: Oh, you mean when you were working in Japan?

Carl: That’s right. And how do you know her?

Stacey: Actually, Jane is my cousin. Our moms are sisters.

Carl: No way! You two don’t look anything alike.

D. Genre: Recount Texts

Social function : to retell events for the purpose of informing or entertaining
Generic structure

– Orientation : provides the setting and introduces participants

– Events : tell what happened, in what sequence

– Re-orientation : optional-closure of events

The Characteristics of Recount Text:
Using the simple past tense, past continuous tense, past perfect tense, and past perfect continuous tense.
Using the conjunctions, such as: then, before, after, etc.

Vektor R^3

RifatApril 19, 2019 No comments

Vektor di R^3

Vektor yang berada pada ruang tiga dimensi (x, y, z).jarak antara dua titik vektor dalam $R^3$ dapat diketahui dengan pengembangan rumus phytagoras. Jika titik $A(x_1,y_1,z_1)$ dan titik $B(x_2,y_2,z_2)$ maka jarak AB adalah:

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 b+ (z_2 - z_1)^2}$

Atau jika $\bar{v} = \left(\begin{array}{r} v_1 \\ v_2 \\ v_3 \end{array}\right)$ , maka

$\mid\bar{v}\mid = \sqrt{(v_1)^2 + (v_2)^2 + (v_3)^2}$

Vektor $\bar{AB}$ dapat dinyatakan dalam dua bentuk, yaitu dalam kolom $\bar{AB} = \left(\begin{array}{r} b_1 - a_1\\ b_2 - a_2\\ b_3 - a_3\end{array}\right)$ atau dalam baris $\bar{AB} = (b_1 - a_1,b_2 - a_2,b_3 - a_3)$ . Vektor juga dapat disajikan sebagai kombinasi linier dari vektor basis $\bar{l}(1,0,0)$ dan $\bar{J}(0,1,0)$ dan $\bar{K}(0,0,1)$ berikut:

$\bar{v} = \left(\begin{array}{r} v_1\\ v_2\\ v_3\end{array}\right) = v_1\left(\begin{array}{r} 1\\ 0\\ 0\end{array}\right) + v_2\left(\begin{array}{r} 0\\ 1\\ 0\end{array}\right) + v_3\left(\begin{array}{r} 0\\ 0\\ 1\end{array}\right)$

$\bar{v} = v_1\bar{I} + v_2\bar{J} + v_3\bar{K}$

Operasi Vektor di R^3

Operasi vektor di $R^3$ secara umum, memiliki konsep yang sama dengan operasi vektor di $R^2$ dalam penjumlahan, pengurangan, maupun perkalian.

Penjumlahan dan pengurangan vektor di R^3

Penjumlahan dan pengurangan vektor di $R^3$ sama dengan vektor di $R^2$ yaitu:

$\bar{a} + \bar{b} = \left(\begin{array}{r} a_1\\ a_2\\ a_3\end{array}\right) + \left(\begin{array}{r} b_1\\ b_2\\ b_3\end{array}\right) = \left(\begin{array}{r} a_1+b_1\\ a_2+b_2\\ a_3+b_3\end{array}\right)$

Dan

$\bar{a} - \bar{b} = \left(\begin{array}{r} a_1\\ a_2\\ a_3\end{array}\right) - \left(\begin{array}{r} b_1\\ b_2\\ b_3\end{array}\right) = \left(\begin{array}{r} a_1-b_1\\ a_2-b_2\\ a_3-b_3\end{array}\right)$

Perkalian vektor di R^3 dengan skalar

Jika $\bar{v}$ adalah vektor dan k adalah skalar. Maka perkalian vektor:

$k.\bar{v} = \left(\begin{array}{r} k.v_1\\ k.v_2\\ k.v_3\end{array}\right)$

Hasil kali skalar dua vektor

Selain rumus di $R^3$ , ada rumus lain dalam hasil kali skalar dua vektor. Jika $\bar{a} = a\bar{I} + a_2\bar{J} + a_3\bar{K}$ dan $\bar{b} = b_1\bar{i} + b_2\bar{j} + b_3\bar{k}$ maka $\bar{a}.\bar{b}$ adalah:

$\bar{a}.\bar{b} = (a_1b_1) + (a_2b_2) + (a_3b_3)$

Proyeksi Orthogonal vektor

Jika vektor $\bar{a}$ diproyeksikan ke vektor $bar{b}$ dan diberi nama $\bar{c}$ seperti gambar dibawah:
proyeksi orthogonal vektor

Diketahui:

$\bar{a}.\bar{b} = \mid\bar{a}\mid \mid \bar{b} \mid cos\theta \overset{maka}{\rightarrow} cos\theta = \frac{\bar{a}.\bar{b}}{\mid\bar{a}\mid\mid\bar{b}\mid}$

Sehingga:

$\mid\bar{c}\mid = \mid\bar{a}\mid\mid cos\theta\mid$ atau $\mid\bar{c}\mid = \mid\frac{\bar{a}.\bar{b}}{\mid\bar{b}\mid}\mid$

Untuk mendapat vektornya:

$\bar{c} = \mid\frac{\bar{a}.\bar{b}}{\mid \bar{b} \mid} \mid \bar{b}$

Contoh Soal Vektor dan Pembahasan

Contoh Soal 1

Diketahui titik A(2,4,6), titik B(6,6,2), dan titik C(p,q,-6). Jika titik A, B, dan C segaris maka tentukan nilai p+q.
Pembahasan 1:
Jika titik-titik A, B, dan C segaris maka vektor $\bar{AB}$ dan vektor $\bar{AC}$ bisa searah atau berlainan arah. Sehingga akan ada bilangan m yang merupakan sebuah kelipatan dan membentuk persamaan

$m.\bar{AB} = \bar{AC}$

Jika B berada diantara titik A dan C, diperoleh:

$\bar{AB} + \bar{BC} = \bar{AC}$

sehingga:

$\bar{AB} = \left(\begin{array}{r} 6-2\\ 6-4\\ 2-6\end{array}\right) = \left(\begin{array}{r} 4\\ 2\\ -4\end{array}\right)$

$\bar{AC} = \left(\begin{array}{r} p-2\\ q-4\\ -6-6\end{array}\right) = \left(\begin{array}{r} p-2\\ q-4\\ -12\end{array}\right)$

Maka kelipatan m dalam persamaan:

$m.\bar{AB} = \bar{AC}$

$m.\left(\begin{array}{r} 4\\ 2\\ -4\end{array}\right) = \left(\begin{array}{r} p-2\\ q-4\\ -12\end{array} \right)$

$-4.m = (-12) \rightarrow m = 3$

Diperoleh:

$2.m = (q - 4) \rightarrow 6 = (q - 4)$ $q = 10$
$4.m = (p - 2) \rightarrow 12 (p - 2)$ $p = 14$

disimpulkan:

p+q=10+14=24

Contoh Soal 2

Jika diketahui vektor pada titik A dan titik B dan vektor pada titik C yang berada diantara garis Ab seperti gambar dibawah. Tentukan persamaan vektor C.
contoh soal vektor dan pembahasannya

Pembahasan 2:
Dari gambar dapat diketahui bahwa:

$\bar{AB} + \bar{a} = \bar{b}$ sehingga $\bar{AB} = \bar{b} - \bar{a}$
$\bar{AC} = \frac{m}{m+n}\bar{AB} = \frac{m}{m+n}(\bar{b} - \bar{a})$

Sehingga:

$\bar{c} = \bar{AC} + \bar{a}$

$= \frac{m}{m+n} (\bar{b} - \bar{a}) + \bar{a} = \frac{m}{m+n}(\bar{b}) - \frac{m}{m+n}(\bar{a}) + \frac{m+n}{m+n}(\bar{a})$

$= \frac{m}{m+n}(\bar{b})+\frac{n}{m+n}(\bar{a})$

Contoh Soal 3

Misalkan vektor $\bar{a} = 4\bar{i} + y\bar{j}$ dan vektor $\bar{b}=2\bar{i} + 2\bar{j} + \bar{k}$ . Jika panjang proyeksi vektor a ̅ $\bar{a}$ pada $\bar{b}$ adalah 4. Maka tentukan nilai y.
Pembahasan 3:
Diketahui: