Pembahasan mid matematika xii

Oct 11, 20120 likes502 views

Dokumen tersebut berisi soal ujian tengah semester mata pelajaran matematika untuk siswa kelas XII di SMK Negeri 1 Cerme, Gresik. Soal terdiri dari lima pertanyaan yang meliputi penentuan nilai limit, turunan, persamaan garis singgung, dan penentuan persamaan garis singgung pada kurva bila tegak lurus atau sejajar dengan garis.

PEMERINTAH KABUPATEN GRESIK
DINAS PENDIDIKAN
SEKOLAH MENENGAH KEJURUAN NEGERI 1 CERME
BIDANG STUDI KEAHLIAN : TEKNOLOGI & REKAYASA,
TEKNOLOGI INFORMASI & KOMUNIKASI DAN SENI, KERAJINAN & PARIWISATA
Jln. Jurit Kec. Cerme Kab. Gresik Telp. (031) 7992471 Fax. (031) 7994569
email : smk1cermegresik@yahoo.co.id Web site : http://smkn1cermegresik.com

Imvedas.wordpress.com
ULANGAN TENGAH SEMESTER V
TAHUN PELAJARAN 2012 - 2013

Program Diklat : MATEMATIKA Kode Soal : MATEMATIKA/V/2012
Guru Pengajar : Ika Miming Veda Setyowati,S.Pd Waktu : 45 Menit
Program Keahlian : MULTIMEDIA Hari : Kamis
Kelas : XII Tanggal : 11 Oktober 2012

Nama : ___________________ Kelas/No.abs : / Nilai :______________

1. Hitunglah nilai limit berikut 3. Diketahui Tentukan:
a. a.
b.
c.
b. d.

4. Tentukan persamaan garis singgung kurva
c. di titik A (-1,4)

d. 5. Tentukan persamaan garis singgung pada
kurva bila:
a. Tegak lurus garis
e.
b. Sejajar garis

2. Tentukan turunan pertama dari
a.
b.
c.
d.

PeNyeLeSaiaN:

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Pembahasan mid matematika xii

1. PEMERINTAH KABUPATEN GRESIK DINAS PENDIDIKAN SEKOLAH MENENGAH KEJURUAN NEGERI 1 CERME BIDANG STUDI KEAHLIAN : TEKNOLOGI & REKAYASA, TEKNOLOGI INFORMASI & KOMUNIKASI DAN SENI, KERAJINAN & PARIWISATA Jln. Jurit Kec. Cerme Kab. Gresik Telp. (031) 7992471 Fax. (031) 7994569 email : smk1cermegresik@yahoo.co.id Web site : http://smkn1cermegresik.com Imvedas.wordpress.com ULANGAN TENGAH SEMESTER V TAHUN PELAJARAN 2012 - 2013 Program Diklat : MATEMATIKA Kode Soal : MATEMATIKA/V/2012 Guru Pengajar : Ika Miming Veda Setyowati,S.Pd Waktu : 45 Menit Program Keahlian : MULTIMEDIA Hari : Kamis Kelas : XII Tanggal : 11 Oktober 2012 Nama : ___________________ Kelas/No.abs : / Nilai :______________ 1. Hitunglah nilai limit berikut 3. Diketahui Tentukan: a. a. b. c. b. d. 4. Tentukan persamaan garis singgung kurva c. di titik A (-1,4) d. 5. Tentukan persamaan garis singgung pada kurva bila: a. Tegak lurus garis e. b. Sejajar garis 2. Tentukan turunan pertama dari a. b. c. d. PeNyeLeSaiaN:

2. PEMERINTAH KABUPATEN GRESIK DINAS PENDIDIKAN SEKOLAH MENENGAH KEJURUAN NEGERI 1 CERME BIDANG STUDI KEAHLIAN : TEKNOLOGI & REKAYASA, TEKNOLOGI INFORMASI & KOMUNIKASI DAN SENI, KERAJINAN & PARIWISATA Jln. Jurit Kec. Cerme Kab. Gresik Telp. (031) 7992471 Fax. (031) 7994569 email : smk1cermegresik@yahoo.co.id Web site : http://smkn1cermegresik.com Imvedas.wordpress.com PEMBAHASAN 1. Limit dapat diselesaikan dengan beberapa cara a. (Limit tak tentu) Cara 1: (penyederhanaan factor) . Cara 2: (dalil L��Hospital) INGAT hanya digunakan untuk limit tak tentu . (diturunkan masing-masing pada pembilang dan penyebut) . b. = (limit tak tentu) ? Cos 0 = 1 Cara 1: (penyederhanaan factor) . Cara 2: (dalil L��Hospital) INGAT hanya digunakan untuk limit tak tentu . (diturunkan masing-masing pada pembilang dan penyebut) . (limit tak tentu) ? Sin 0 = 0 (diturunkan lagi masing-masing pada pembilang dan penyebut) . ? Cos 0 = 1

3. PEMERINTAH KABUPATEN GRESIK DINAS PENDIDIKAN SEKOLAH MENENGAH KEJURUAN NEGERI 1 CERME BIDANG STUDI KEAHLIAN : TEKNOLOGI & REKAYASA, TEKNOLOGI INFORMASI & KOMUNIKASI DAN SENI, KERAJINAN & PARIWISATA Jln. Jurit Kec. Cerme Kab. Gresik Telp. (031) 7992471 Fax. (031) 7994569 email : smk1cermegresik@yahoo.co.id Web site : http://smkn1cermegresik.com Imvedas.wordpress.com c. d. Cara 1: m < n sehingga Atau Cara 2: e. Dali L Hospital . 2. Turunan a. . . . .

4. PEMERINTAH KABUPATEN GRESIK DINAS PENDIDIKAN SEKOLAH MENENGAH KEJURUAN NEGERI 1 CERME BIDANG STUDI KEAHLIAN : TEKNOLOGI & REKAYASA, TEKNOLOGI INFORMASI & KOMUNIKASI DAN SENI, KERAJINAN & PARIWISATA Jln. Jurit Kec. Cerme Kab. Gresik Telp. (031) 7992471 Fax. (031) 7994569 email : smk1cermegresik@yahoo.co.id Web site : http://smkn1cermegresik.com Imvedas.wordpress.com b. . . ? . ? . . . . c. . . d. . . . . 3. . a. . b. . c. d. 4. . . di titik A(-1,4) .

5. PEMERINTAH KABUPATEN GRESIK DINAS PENDIDIKAN SEKOLAH MENENGAH KEJURUAN NEGERI 1 CERME BIDANG STUDI KEAHLIAN : TEKNOLOGI & REKAYASA, TEKNOLOGI INFORMASI & KOMUNIKASI DAN SENI, KERAJINAN & PARIWISATA Jln. Jurit Kec. Cerme Kab. Gresik Telp. (031) 7992471 Fax. (031) 7994569 email : smk1cermegresik@yahoo.co.id Web site : http://smkn1cermegresik.com Imvedas.wordpress.com Persamaan garis singgung di A(-1,4) . ) . . . �C . 5. a. tegak lurus . (1) Menentukan gradien . (2) Menentukan titik . . . . maka . Jadi titik = dan diperoleh (3) Persamaan garis singgung di dan . ) . .

6. PEMERINTAH KABUPATEN GRESIK DINAS PENDIDIKAN SEKOLAH MENENGAH KEJURUAN NEGERI 1 CERME BIDANG STUDI KEAHLIAN : TEKNOLOGI & REKAYASA, TEKNOLOGI INFORMASI & KOMUNIKASI DAN SENI, KERAJINAN & PARIWISATA Jln. Jurit Kec. Cerme Kab. Gresik Telp. (031) 7992471 Fax. (031) 7994569 email : smk1cermegresik@yahoo.co.id Web site : http://smkn1cermegresik.com Imvedas.wordpress.com . 6. b. sejajar . (4) Menentukan gradien . dan (5) Menentukan titik . . . . . . maka . Jadi titik = dan diperoleh (6) Persamaan garis singgung di dan . ) . . .

7. PEMERINTAH KABUPATEN GRESIK DINAS PENDIDIKAN SEKOLAH MENENGAH KEJURUAN NEGERI 1 CERME BIDANG STUDI KEAHLIAN : TEKNOLOGI & REKAYASA, TEKNOLOGI INFORMASI & KOMUNIKASI DAN SENI, KERAJINAN & PARIWISATA Jln. Jurit Kec. Cerme Kab. Gresik Telp. (031) 7992471 Fax. (031) 7994569 email : smk1cermegresik@yahoo.co.id Web site : http://smkn1cermegresik.com Imvedas.wordpress.com .

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Pembahasan mid matematika xii

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