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GEOMETRİ                                                             Üçgende Açıortay                            TEST 05-A                           ÖSYS


1.   Şekilde [DC] açıortay,                                A                                    5.   Şekildeki     ABC                 D
     |AC| = 6 cm,                                      3
                                                                                                     üçgeninde     [CD]
                                                                                                                                                   5
                                                                                                     dış açıortay
     |BC| = 7 cm ve                                                                                                                                                A
                                                   D                                                 |BC| = 6 cm,
     |AD| = 3 cm                                                            6                        |AC| = 3 cm
                                                                                                                                                               3
     ise |BD| kaç cm dir?                                                                            ve |AD| = 5 cm
                                                                                                     ise |AB| kaç cm                                C                  6            B
                                          B                7                        C                dir?

          3                       5                                             7                         7                            9                                       11
     A)        B) 2          C)                    D) 3                E)                            A)           B) 4           C)                D) 5                E)
          2                       2                                             2                         2                            2                                       2




2.   Şekilde [BD] açıortay                             A                                        6.   Şekilde [CD] iç                                               A
                                                                                                                                   D
                                                                                                     açıortay, [BD] dış
     |AB| = 5 cm,                                                                                                                                          2
                                                                                                     açıortay
     |BC| = 10 cm ve                                                                                 |AE| = 2 cm ve                                 E
                                                                       D
     |AC| = 9 cm                                                                                     |AC| = 6 cm                                                               6

     ise |DC| kaç cm dir?                                                                                | DE |
                                                                                                     ise        oranı
                                                                                                         | EC |
                                          B                                             C                                                  B                                        C
                                                                                                     kaçtır?
     A) 3      B) 4          C) 5                  D) 6                E) 8                               3            2               1                   1                   1
                                                                                                     A)           B)             C)                D)                  E)
                                                                                                          4            3               2                   3                   4



3.   Şekilde [AE] ve [CD]                      A
     açıortay,                                                                                  7.   Şekilde [AN] açıortay                             A
                                                                                                     |AB| = 4 cm,
     |DB| = |BE| = 3 cm ve            D                                                              |BN| = 2 cm ve
     |EC| = 4 cm
                                                                                                     |NC| = 3 cm                           4
     ise |AD| kaç cm dir?         3
                                                                                                     ise |AN| kaç cm dir?
                                                                                    .
                                                                                    .
                              B                3           E           4                    C
                                                                                                                                      B        2                   N       3        C
     A) 1      B) 2          C) 3                  D) 4                E) 5
                                                                                                     A)       2   B)     3       C) 2 3            D) 3 2              E) 2 2




4.   Şekildeki ADC üç-
                                                                                                8.   Şekildeki    ABC
     geninde [AB] dış                                              A                                 üçgeninde [AE]                                A
     açıortay                                                                                        iç açıortay, [AD]
     |BD| = |DC| = 10 cm                                                                             dış açıortay
     ve |AD| = 4 cm                                                                                  |AE| = 9 cm ve
                                                               4                                     |AD| = 12 cm ise
     ise |AC| kaç cm                                                                                 |ED| kaç cm
     dir?                                                                                            dir?
                                  B           10       D           10                       C                                B                 E                                    D
                                                                                                                                                                   C

     A) 4      B) 6          C) 8                  D) 10               E) 12                         A) 15        B) 13          C) 12             D) 11               E) 10

2006-ÖSYS
Üçgende Açıortay                                                                 ÖSYS                                                                 TEST 05-A


9.    Şekildeki ABC üçge-                               A                               13.   Şekilde [BC]  [AC]                                                 A
      ninde [BD] ve [CE]                                                                      [BD] açıortay
      açıortay                                                                                |DC| = 3 cm ve
                                           12                        D                        |BC| = 6 cm ise
      |BC| = 18 cm,
                                                       E
      |AB| = 12 cm ve                                                                         |AD| kaç cm dir?                                                      D

      | BE | 3
                                      B                18                   C
      | ED | 2
                                                                                                                         B                                        C
      ise |AD| kaç cm dir?
                                                                                              A) 10      B) 6       C) 5             D) 4                 E) 3
      A) 8          B) 10     C) 12             D) 14            E) 16




                                                                                        14.   Şekildeki     ABC                                   A

                                                       A                                      üçgeninde F iç te-
10.   Şekilde [BN] açıortay                                                                                                              D
                                                                                              ğet      çemberinin
      |AB| = |NC|,                                                                            merkezidir.
      |AN| = 3 cm ve                                                                          [DE // [AC],
                                                                  N                                                                          F
      |BC| = 12 cm                                                                            |AB| = 15 cm ve
                                                                                              |BC| = 13 cm ise
      ise |NC| kaç cm dir?                                                                                          B                                 E               C
                                                                                                     Δ
                                   B                   12                C
                                                                                              Ç(B D E) kaç cm dir?
      A) 4          B) 5      C) 6              D) 8             E) 10                        A) 30      B) 28      C) 24            D) 20                E) 18




                                                                                        15.   Şekildeki ABC üçge-                                 A
11.   Şekilde [BE] açıortay                             A
                                                                                              ninde D iç teğet çem-
      [AD]  [BE],                                                                            berinin merkezidir.
      |AE| = 4 cm ve                                                                          |AB| = |AC| = 10 cm ve
                                                                     E                        |BC| = 12 cm                                            D
      |EC| = 6 cm ise
                                                             F                                ise |AD| kaç cm dir?
      | DC |
             oranı kaçtır?
      | BC |                                                                                                                     B                                    C
                                   B                         D               C
                                                                                              A) 1       B) 2       C) 3             D) 4                 E) 5
         1             1         1                 1                1
      A)            B)        C)                D)               E)
         2             3         4                 5                6



                                                                                        16.   Şekilde [AF] ve                        A
                                                                                              [CE] açıortay
                                                                                              |AB| = 5 cm,
                                                                                                                         5                    6
12.   Şekilde [BD] açıor-                          A                                          |AE| = 6 cm,
      tay,                                                                                    |BC| = 8 cm ve
                                            K                                                                                                         E
      |BD| = |DC|                                      8                                      |DC| = 16 cm          B                                                 D
                                                                                                                                     F
                                                                 D                                | FB |
      |KD| = 8 cm                                                                             ise        oranı
                                                                                                  | FD |                     8                        16
      |BC| = 12 cm ise
                                                                                              kaçtır?                                    C
      |DC| kaç cm dir?
                               B                                         C
                                                                                                   5           3         5                   5                 3
                                                                                              A)         B)         C)               D)                   E)
      A) 6          B) 7      C) 8              D) 9             E) 10                             28         14         6                   22                11
2006-ÖSYS

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açı

  • 1. GEOMETRİ Üçgende Açıortay TEST 05-A ÖSYS 1. Şekilde [DC] açıortay, A 5. Şekildeki ABC D |AC| = 6 cm, 3 üçgeninde [CD] 5 dış açıortay |BC| = 7 cm ve A D |BC| = 6 cm, |AD| = 3 cm 6 |AC| = 3 cm 3 ise |BD| kaç cm dir? ve |AD| = 5 cm ise |AB| kaç cm C 6 B B 7 C dir? 3 5 7 7 9 11 A) B) 2 C) D) 3 E) A) B) 4 C) D) 5 E) 2 2 2 2 2 2 2. Şekilde [BD] açıortay A 6. Şekilde [CD] iç A D açıortay, [BD] dış |AB| = 5 cm, 2 açıortay |BC| = 10 cm ve |AE| = 2 cm ve E D |AC| = 9 cm |AC| = 6 cm 6 ise |DC| kaç cm dir? | DE | ise oranı | EC | B C B C kaçtır? A) 3 B) 4 C) 5 D) 6 E) 8 3 2 1 1 1 A) B) C) D) E) 4 3 2 3 4 3. Şekilde [AE] ve [CD] A açıortay, 7. Şekilde [AN] açıortay A |AB| = 4 cm, |DB| = |BE| = 3 cm ve D |BN| = 2 cm ve |EC| = 4 cm |NC| = 3 cm 4 ise |AD| kaç cm dir? 3 ise |AN| kaç cm dir? . . B 3 E 4 C B 2 N 3 C A) 1 B) 2 C) 3 D) 4 E) 5 A) 2 B) 3 C) 2 3 D) 3 2 E) 2 2 4. Şekildeki ADC üç- 8. Şekildeki ABC geninde [AB] dış A üçgeninde [AE] A açıortay iç açıortay, [AD] |BD| = |DC| = 10 cm dış açıortay ve |AD| = 4 cm |AE| = 9 cm ve 4 |AD| = 12 cm ise ise |AC| kaç cm |ED| kaç cm dir? dir? B 10 D 10 C B E D C A) 4 B) 6 C) 8 D) 10 E) 12 A) 15 B) 13 C) 12 D) 11 E) 10 2006-ÖSYS
  • 2. Üçgende Açıortay ÖSYS TEST 05-A 9. Şekildeki ABC üçge- A 13. Şekilde [BC]  [AC] A ninde [BD] ve [CE] [BD] açıortay açıortay |DC| = 3 cm ve 12 D |BC| = 6 cm ise |BC| = 18 cm, E |AB| = 12 cm ve |AD| kaç cm dir? D | BE | 3  B 18 C | ED | 2 B C ise |AD| kaç cm dir? A) 10 B) 6 C) 5 D) 4 E) 3 A) 8 B) 10 C) 12 D) 14 E) 16 14. Şekildeki ABC A A üçgeninde F iç te- 10. Şekilde [BN] açıortay D ğet çemberinin |AB| = |NC|, merkezidir. |AN| = 3 cm ve [DE // [AC], N F |BC| = 12 cm |AB| = 15 cm ve |BC| = 13 cm ise ise |NC| kaç cm dir? B E C Δ B 12 C Ç(B D E) kaç cm dir? A) 4 B) 5 C) 6 D) 8 E) 10 A) 30 B) 28 C) 24 D) 20 E) 18 15. Şekildeki ABC üçge- A 11. Şekilde [BE] açıortay A ninde D iç teğet çem- [AD]  [BE], berinin merkezidir. |AE| = 4 cm ve |AB| = |AC| = 10 cm ve E |BC| = 12 cm D |EC| = 6 cm ise F ise |AD| kaç cm dir? | DC | oranı kaçtır? | BC | B C B D C A) 1 B) 2 C) 3 D) 4 E) 5 1 1 1 1 1 A) B) C) D) E) 2 3 4 5 6 16. Şekilde [AF] ve A [CE] açıortay |AB| = 5 cm, 5 6 12. Şekilde [BD] açıor- A |AE| = 6 cm, tay, |BC| = 8 cm ve K E |BD| = |DC| 8 |DC| = 16 cm B D F D | FB | |KD| = 8 cm ise oranı | FD | 8 16 |BC| = 12 cm ise kaçtır? C |DC| kaç cm dir? B C 5 3 5 5 3 A) B) C) D) E) A) 6 B) 7 C) 8 D) 9 E) 10 28 14 6 22 11 2006-ÖSYS