DSEHero

Mathematics

Quadratic Equations 126

Central Tendency and Dispersion 92

Linear Equations/Inequalities 91

2D-Geometry Figures 80

Polynomials 77

Exponential and Logarithmic Functions 77

Series and Sequence 73

Trigonometry 70

Permutation, Combination and Probability 69

Basic Properties of Circles50

Equations of Circles 44

Area and Volumes 40

More About Equations 36

Variations 30

Rate, ratio and Percentage 28

Integral Indices and Rational Numbers 25

Estimation and Approximation 23

Loci 21

Coordinates 15

More About Graphs of Function 5

3D-Geometry Figures 2

Questions

Basic Properties of Circles Understand the properties of chords and arcs of a circle Understand the angle properties of a circle

在圖中，$OAB$和$OCD$是以$O$為中心的扇形。如果$\overparen{AB}=12\pi\mathrm{cm}，\widehat{CD}=16\pi\mathrm{cm}$且$OA=30\mathrm{cm}$，則$AC=$多少？

2012
Basic Properties of Circles Understand the angle properties of a circle Understand the properties of a cyclic quadrilateral

在圖中，$O$ 是圓 $A B C D$ 的中心。如果 $\angle B A O=28^{\circ}, \angle B C D=114^{\circ}$ 且 $\angle C D O=42^{\circ}$，那麼 $\angle A B C=$多少度？

2012
Basic Properties of Circles Understand the properties of chords and arcs of a circle Understand the angle properties of a circle

在圖中，$AB$ 是圓 $ABCD$ 的直徑。如果 $AB=12\ \mathrm{cm}$ 且 $CD=6\ \mathrm{cm}$，則陰影區域的面積是多少？

2012
Basic Properties of Circles Understand the angle properties of a circle Understand the properties of tangents to a circle and angles in the alternate segments

在圖中，$PQ$ 是圓 $ABC$ 在 $O$ 處的切線，其中 $O$ 是半圓 $PBQ$ 的中心。已知 $BCP$ 是一條直線。如果 $\angle BPQ=12^{\circ}$，那麼 $\angle BAC=$多少？

2012
Basic Properties of Circles Understand the properties of chords and arcs of a circle Understand the angle properties of a circle

在圖中，半圓$A B C$的直徑為$3 \mathrm{~cm}$。如果$A C=2 \mathrm{~cm}$，求陰影區域的面積，精確到最近的$0.01 \mathrm{~cm}^{2}$。

2013
Basic Properties of Circles Understand the angle properties of a circle Use the basic properties of circles to perform simple geometric proofs

在圖中，$ABCD$ 是一個圓。$AC$ 和 $BD$ 在 $E$ 點相交。如果 $AB=AD$ 且 $AD // BC$，則 $\angle BAE=$ 是多少？

2013
Basic Properties of Circles Understand the angle properties of a circle Use the basic properties of circles to perform simple geometric proofs

下面的圓餅圖顯示了某月文具店$X$和文具店$Y$從文具銷售中獲得的利潤分佈。以下哪項必定是真的？

2013
Basic Properties of Circles Understand the angle properties of a circle Understand the properties of tangents to a circle and angles in the alternate segments

在圖中，$O$ 是圓 $A B C$ 的中心。$D E$ 是在 $A$ 處的圓的切線。如果 $A B$ 是 $\angle C A E$ 的角平分線，那麼 $\angle A C O=$ 是多少？

2013
Basic Properties of Circles Use the basic properties of circles to perform simple geometric proofs

若扇形的角度和半徑分別減少 $x \%$ 和 $50 \%$，使其面積減少 $90 \%$，則 $x=$多少？

2014
Basic Properties of Circles Understand the angle properties of a circle Use the basic properties of circles to perform simple geometric proofs

圖中，$AC$ 為圓 $ABCDE$ 的一直徑。若 $\angle ADE=28^{\circ}$，則 $\angle CBE=$多少度？

2014