Question 1

如圖，圓上兩弦$\overline{AB}$、$\overline{CD}$交於P點，若$\overline{PA}$ = 14，$\overline{PB}$ = 5，$\overline{PC}$ = 10，求$\overline{PD}$ = ？

Accepted Answer

7

Answer

8

Answer

5

Answer

6

Question 2

如圖，圓上兩弦$\overline{AB}$、$\overline{CD}$交於P點，若$\overline{PA}$ = 5，$\overline{PD}$ = 15，$\overline{PC}$ = 4，求$\overline{BD}$ = ？

Accepted Answer

3$\sqrt{41}$

Answer

4$\sqrt{35}$

Answer

3$\sqrt{29}$

Answer

4$\sqrt{23}$

Question 3

如圖，圓上兩弦$\overline{AB}$、$\overline{CD}$交於P點，若$\overline{PA}$ = 14，$\overline{PB}$ = 5，$\overline{PC}$： $\overline{PD}$ = 7：5，求$\overline{PD}$

Accepted Answer

5$\sqrt{2}$

Answer

6

Answer

8

Answer

7$\sqrt{2}$

Question 4

如圖，$\overline{PB}$與圓交於A、B兩點，$\overline{PC}$為圓的切線，$\overline{PC}$ = 4$\sqrt{6}$，$\overline{PA}$ = 6，求$\overline{AB}$

Accepted Answer

10

Answer

12

Answer

18

Answer

16

Question 5

如圖，$\overline{PB}$與圓交於A、B兩點，$\overline{PC}$為圓的切線，$\overline{PC}$ = 12，$\overline{PA}$ = 9，求$\overline{PB}$

Accepted Answer

16

Answer

12

Answer

15

Answer

9

Question 6

如圖，$\overline{PB}$與圓交於A、B兩點，$\overline{PC}$為圓的切線，$\overline{PC}$ = 6，$\overline{PA}$ = 4，求$\overline{AB}$

Accepted Answer

5

Answer

9

Answer

7

Answer

8

Question 7

如圖，圓上兩弦$\overline{AB}$、$\overline{CD}$其延長線相交於圓外的P點，若$\overline{PA}$ = 5，$\overline{PC}$ = 3，$\overline{PD}$ = 10，求$\overline{PB}$

Accepted Answer

6

Answer

1

Answer

5

Answer

8

Question 8

如圖，圓上兩弦$\overline{AB}$、$\overline{CD}$其延長線相交於圓外的P點，若$\overline{PA}$ = 3，$\overline{PC}$ = 5，$\overline{PD}$ = 6，求$\overline{AB}$

Accepted Answer

7

Answer

10

Answer

5

Answer

8

Question 9

如圖，圓上兩弦$\overline{AB}$、$\overline{CD}$其延長線相交於圓外的P點，若$\overline{PA}$ = 4，$\overline{PC}$ = 8，$\overline{CD}$ = 5，求$\overline{PB}$

Accepted Answer

26

Answer

18

Answer

22

Answer

10

Question 10

如圖，圓內兩弦$\overline{AB}$、$\overline{CD}$交於P點，若$\overline{PA}$ = 6，$\overline{PC}$ = 8，$\overline{PD}$ = $\frac{3}{2}$，求$\overline{AB}$

Accepted Answer

8

Answer

4

Answer

6

Answer

2

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