Question 1

如圖，已知$L_1$//$L_2$，且$L_1$與圓O交於A、B兩點，$L_2$與圓O相切於C點，若$\widehat{AC}$ = $60^{\circ}$，求$\angle ACD$的度數

Accepted Answer

$30^{\circ}$

Answer

$50^{\circ}$

Answer

$60^{\circ}$

Answer

$45^{\circ}$

Question 2

如圖，四邊形ABCD的外接圓與直線AE相切於A點，且$\widehat{AB}$ = $\widehat{BC}$ = $\widehat{CD}$，若$\widehat{AB}$ = $98^{\circ}$，求$\angle DAE$的度數

Accepted Answer

$33^{\circ}$

Answer

$32^{\circ}$

Answer

$40^{\circ}$

Answer

$36^{\circ}$

Question 3

如圖，圓$O_1$與$O_2$外切於A點，外公切線L與$O_1$、$O_2$分別相切於B、C兩點，已知$\widehat{AB}$ = $100^{\circ}$，$\widehat{AC}$ = $80^{\circ}$，求$\angle BAC$的度數

Accepted Answer

$90^{\circ}$

Answer

$100^{\circ}$

Answer

$80^{\circ}$

Answer

$105^{\circ}$

Question 4

如圖，直線AC切圓於A點，$\angle BCA=38^{\circ}$，$\angle BPA=41^{\circ}$，求$\widehat{PA}$的度數

Accepted Answer

$158^{\circ}$

Answer

$150^{\circ}$

Answer

$146^{\circ}$

Answer

$140^{\circ}$

Question 5

如圖，$\Delta$PAB為等腲三角形，$\overline{PA}$ = $\overline{PB}$，若$\widehat{PA}$ = $122^{\circ}$，求$\angle BAC$的度數

Accepted Answer

$58^{\circ}$

Answer

$61^{\circ}$

Answer

$56^{\circ}$

Answer

$47^{\circ}$

Question 6

如圖，$\widehat{AB}$ = $50^{\circ}$，$\widehat{CD}$ = $70^{\circ}$，求$\angle CPD$的度數

Accepted Answer

$60^{\circ}$

Answer

$120^{\circ}$

Answer

$100^{\circ}$

Answer

$80^{\circ}$

Question 7

如圖，$\widehat{AD}$ = $60^{\circ}$，$\angle APB=60^{\circ}$，求$\widehat{BC}$ 的度數

Accepted Answer

$180^{\circ}$

Answer

$60^{\circ}$

Answer

$120^{\circ}$

Answer

$150^{\circ}$

Question 8

如圖，P為圓外一點，B、D為切點，若$\widehat{BED}$ = $296^{\circ}$，$\widehat{BFD}$ = $64^{\circ}$，求$\angle P$的度數

Accepted Answer

$116^{\circ}$

Answer

$120^{\circ}$

Answer

$110^{\circ}$

Answer

$124^{\circ}$

Question 9

如圖，設$\overline{AB}$、$\overline{CD}$為圓O的兩弦，直線AB與直線CD相交於圓外一點P，若$\widehat{BD}$ = $45^{\circ}$，$\angle P=32^{\circ}$，求$\widehat{AC}$的度數

Accepted Answer

$109^{\circ}$

Answer

$121^{\circ}$

Answer

$106^{\circ}$

Answer

$112^{\circ}$

Question 10

如圖，A、B、C、D四點都在同一圓弧上，$\overline{BC}$//$\overline{AD}$，且直線AB與直線CD相交於E點，若$\angle BCA=15^{\circ}$，$\angle BAC=50^{\circ}$，求$\angle BEC$的度數

Accepted Answer

$50^{\circ}$

Answer

$55^{\circ}$

Answer

$65^{\circ}$

Answer

$60^{\circ}$

Related quizzes

Related quizzes