LKS Korespondensi Satu Satu
March 29, 2019 | Author: citra | Category: N/A
Short Description
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Description
Nama Kelompok : 1. ……………………………………………….. 2. ……………………………………………….. 3. ……………………………………………….. 4. ……………………………………………….. 5. ………………………………………………..
Korespondensi Satu-Satu Perhakan 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 seap anggota di A dipasangkan dengan seap anggota di B? 2. Apakah seap anggota di B dipasangkan dengan seap 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
Perhakan 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. Perhakan 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 perhakan 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 kega 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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