LKS Korespondensi Satu Satu

March 29, 2019 | Author: citra | Category: N/A
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Nama Kelompok : 1. ……………………………………………….. 2. ……………………………………………….. 3. ……………………………………………….. 4. ……………………………………………….. 5. ………………………………………………..

Korespondensi Satu-Satu Perhakan permasalahan berikut! Lima orang siswa dengan nomor induk sekolah di SMP Tunas Bangsa, adalah sebagai berikut: Andi memiliki nomor induk 229 Bagas memiliki nomor induk 261 Cahyo memiliki nomor induk 288 Dodi memiliki nomor induk 258, dan Eko memiliki nomor induk 244, Jika misalkan A himpunan siswa, maka A= {Andi, Bagas, Cahyo, Dodi, Eko} dan B himpunan nomor induk {229, 244, 258, 261, 288} maka relasi dari A ke B  adalah “nama pemilik nomor induk”. Bagaimana diagram panah dari kedua relasi tersebut? ……................................................................................................................................................................. ....................................................................................................................................................................... ....................................................................................................................................................................... ....................................................................................................................................................................... ....................................................................................................................................................................... ....................................................................................................................................................................... ....................................................................................................................................................................... ....................................................................................................................................................................... .......................................................................................................................................................................

1. Apakah seap anggota di A dipasangkan dengan seap anggota di B? 2. Apakah seap anggota di B dipasangkan dengan seap anggota di A? 3. Berapa anggota A yang dihubungkan dengan satu anggota di B? 4. Berapa anggota B yang dihubungkan dengan satu anggota di A?

Lembar Kerja Siswa “Relasi dan Fungsi” SMP/MTs Kelas VIII

Perhakan tabel berikut ini: No .

Korespondensi Satu-Satu

Bukan Korespondensi Satu-Satu

1

2

3

Dari contoh yang disebutkan di atas. Dapatkah kamu menjawab pertanyaan dibawah ini? Apa yang dimaksud dengan korespondensi satu-satu? …................................................................................................................................................................... ..................................................................................................................................................................... ..................................................................................................................................................................... ..................................................................................................................................................................... ..................................................................................................................................................................... Syarat apa saja yang harus dipenuhi suatu fungsi supaya bisa disebut korespondensi satu-satu ...................................................................................................................................................................... ...................................................................................................................................................................... ...................................................................................................................................................................... ...................................................................................................................................................................... ...................................................................................................................................................................... ......................................................................................................................................................................

Lembar Kerja Siswa “Relasi dan Fungsi” SMP/MTs Kelas VIII

Banyak korespondensi yang mungkin antara dua himpunan Diketahui himpunan A={1,2,3} dan himpunan B={a,b,c}. Relasi dari himpunan A ke B yang merupakan korespondensi satu satu dapat dijabarkan sebagai berikut:

Berdasarkan uraian tersebut, banyak korespondensi satu -satu yang mungkin dari himpunan A ke him punan B adalah sebanyak 6

Menentukan banyaknya korespondensi satu -satu yang mungkin antara himpunan A dan himpunan B berdasarkan anggota himpunannya. Perhakan tabel berikut!

 No. 1

Banyak anggota himpunan A =n(A ) 1

Banyak anggota himpunan B=n(B) 1

Banyak korespondensi yang mungkin antara Himpunan A ke B 1

2

2

2

1×2=2

3

3

3

1×2×3=6

4

4

4







… …

n

n

n



Jadi banyak korespondensi satu -satu yang mungkin antara himpunan A dan himpunan B jika n(A)=n(B)= n adalah ……………………………………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………

Lembar Kerja Siswa “Relasi dan Fungsi” SMP/MTs Kelas VIII

Latihan Soal Coba diskusikan pemaham kalian terhadapa kasus dibawah ini. 1. Diantara dua himpuan berikut ini, manakah yang dapat dibuat korespondensi satu -satu? jelaskan! a. A ={nama hari dalam seminggu}  B={bilangan prima kurang dari 12}  b. P ={bilangan ganjil kurang dari 10} Q={a,i,u,e,o} c. R={x|x≤12,x∈ N} S = {nama bulan dala m setahun} 2. Berapa banyak korespondensi satu -satu yang dapat dibuat dari himpunan berikut? a. A ={faktor dari 8} dan B={bilangan bulat antara 5 dan 10}  b. n(P)=n(Q)= 6 c. n(R)=n(S)= t 3. Buatlah 2 contoh korespondensi satu -satu dalam kehidupan sehari -hari!

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Lembar Kerja Siswa “Relasi dan Fungsi” SMP/MTs Kelas VIII

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Lembar Kerja Siswa “Relasi dan Fungsi” SMP/MTs Kelas VIII

Untuk mengerjakan soal nomor 1 – 4 perhakan data berikut. Perusahaan Handphone MOKIA memproduksi 3 jenis HP dengan merk Alpha, Beta, dan Gama. Berikut ini disajikan tabel biaya produksi dan harga penjualan HP tersebut. No.

1.

Merk Handphone

Biaya produksi (rupiah)

Harga jual (rupiah)

1

800.000

1.100.000

2

900.000

1.200.000

3

1.000.000

1.350.000

Apakah relasi dari merk handphone ke biaya produksi yang disajikan dalam tabel di atas merupakan korespondensi satu -satu? Jelaskan!

2.

Sajikan relasi dari merk handphone ke biaya produksi menggunakan digram panah!

3.

Dari data tersebut tentukan prosentase merk (%) handphone yang memiliki keuntungan terkecil!

4.

Jika kega merk handphone diatas sama -sama laku dipasaran. Kalian ingin menjual handpone merk apa? Jelaskan!

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Lembar Kerja Siswa “Relasi dan Fungsi” SMP/MTs Kelas VIII

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Lembar Kerja Siswa “Relasi dan Fungsi” SMP/MTs Kelas VIII

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