qid int64 9 9.87k | dataset stringclasses 4
values | image imagewidth (px) 56 1.27k | question stringlengths 52 645 | answer stringclasses 6
values |
|---|---|---|---|---|
9 | mathverse | As shown in the figure, if AB = 6.0, then the perimeter of triangle DBE is ()
Choices:
A: 6cm
B: 7cm
C: 8cm
D: 9cm | A | |
16 | mathverse | As shown in the figure, angle BOC = 50.0, then the degree of angle OAB is ()
Choices:
A: 25°
B: 50°
C: 60°
D: 30° | A | |
43 | mathverse | As shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()
Choices:
A: 40°
B: 30°
C: 38°
D: 15° | A | |
44 | mathverse | As shown in the figure, the two street lamps A and B are separated by 30.0. It is known that Xiaogang's height is 1.5, then the height of the street lamp is ()
Choices:
A: 9米
B: 8米
C: 7米
D: 6米 | A | |
59 | mathverse | As shown in the figure, and angle C = 80.0, then the degree of angle D is ()
Choices:
A: 50°
B: 60°
C: 70°
D: 100° | A | |
72 | mathverse | As shown in the figure, the perimeter of ABCD is 16.0, then the perimeter of triangle DCE is ()
Choices:
A: 10cm
B: 8cm
C: 6cm
D: 4cm | B | |
73 | mathverse | As shown in the figure, If angle ABC = 70.0, then the degree of angle AOC is equal to ()
Choices:
A: 140°
B: 130°
C: 120°
D: 110° | A | |
79 | mathverse | As shown in the figure, the perimeter of ABCD is 32.0, the perimeter of triangle DCE is ()
Choices:
A: 8cm
B: 24cm
C: 10cm
D: 16cm | D | |
82 | mathverse | As shown in the figure, the angle between BC and the line n is 25.0, and angle ACB = 60.0, then the degree of angle a is ()
Choices:
A: 25°
B: 30°
C: 35°
D: 45° | C | |
86 | mathverse | As shown in the figure, if the radius of circle O is 2.0, angle BAC = 60.0, then the length of BC is ()
Choices:
A: √{3}
B: 2√{3}
C: 4
D: 4√{3} | B | |
97 | mathverse | As shown in the figure, if angle ABC = 25.0, then the size of angle AOB is ()
Choices:
A: 80°
B: 90°
C: 100°
D: 120° | C | |
98 | mathverse | As shown in the figure, given the angle of circumference angle A = 50.0, then the size of angle OBC is ()
Choices:
A: 50°
B: 40°
C: 130°
D: 80° | B | |
100 | mathverse | As shown in the figure, if angle BOC = 30.0, then the degree of angle BAD is ()
Choices:
A: 30°
B: 25°
C: 20°
D: 15° | D | |
103 | mathverse | As shown in the figure, and it is known that angle ABC = 130.0, then angle AOC = ()
Choices:
A: 100°
B: 110°
C: 120°
D: 130° | A | |
110 | mathverse | As shown in the figure, when the width of the water surface AB in the circular bridge hole is 8.0, When the water surface rises 1.0, the water surface width A′B′ in the bridge hole is ()
Choices:
A: √{15}米
B: 2√{15}米
C: 2√{17}米
D: 不能计算 | B | |
112 | mathverse | As shown in the figure, the bottom radius of the cone OB = 0.7, the length of AB is 2.5, then the length of AO is ()
Choices:
A: 2.4
B: 2.2
C: 1.8
D: 1.6 | A | |
147 | mathverse | a school math interest group erected a benchmark DF with a length of 1.5 at point F. the length of the shadow EF of DF is measured as 1.0, and then measure the length of the shadow BC of the flagpole AC to be 6.0, then the height of the flagpole AC is ()
Choices:
A: 6米
B: 7米
C: 8.5米
D: 9米 | D | |
148 | mathverse | As shown in the figure, Xiaodong uses a bamboo pole with a length of 3.2 as a measuring tool to measure the height of the school flagpole, and moves the bamboo pole so that the shadow on the top of the pole and the flag pole falls on the same point on the ground. At this time, the distance between the bamboo pole and t... | A | |
166 | mathverse | As shown in the figure, AC = 3.0, AB = 4.0, then sinB is equal to ()
Choices:
A: \frac{3}{4}
B: \frac{3}{5}
C: \frac{4}{5}
D: \frac{5}{4} | B | |
182 | mathverse | As shown in the figure, angle XOY = 45.0, where AB = 10.0, then the maximum value of the distance from point O to vertex A is ()
Choices:
A: 8
B: 10
C: 8√{2}
D: 10√{2} | D | |
190 | mathverse | As shown in the figure, given that angle P = 50.0, then the size of angle ACB is ()
Choices:
A: 65°
B: 60°
C: 55°
D: 50° | A | |
193 | mathverse | As shown in the figure, if the length of PA is 2.0, then the perimeter of triangle PEF is ()
Choices:
A: 8
B: 6
C: 4
D: 2 | C | |
203 | mathverse | Find the value of x in the diagram.
Choices:
A: 68
B: 78
C: 79
D: 136 | A | |
221 | mathverse | Find x. Round the side measure to the nearest tenth.
Choices:
A: 69.0
B: 69.8
C: 76.4
D: 77.2 | B | |
243 | mathverse | A plane travels from Des Moines to Phoenix, on to Atlanta, and back to Des Moines, as shown below. Find the distance in miles from Phoenix to Atlanta if the total trip was 3482 miles.
Choices:
A: 53
B: 73.8
C: 110
D: 1591 | D | |
252 | mathverse | Q is the centroid and B E = 9. Find B Q.
Choices:
A: 3
B: 6
C: 9
D: 12 | B | |
258 | mathverse | Find m \angle N C L.
Choices:
A: 60
B: 120
C: 240
D: 360 | B | |
323 | mathverse | The length from D to the diagonal intersection point is 5, and the length from C to the diagonal intersection point is 12. Find B C.
Choices:
A: 5
B: 9
C: 12
D: 13 | D | |
333 | mathverse | Determine if this relation is a function.
Choices:
A: This is a function
B: This is not a function | A | |
352 | mathverse | Kai is swinging on a trapeze in a circus show. The horizontal distance between Kai and the edge of the stage, in meters, is modeled by $D(t)$ where $t$ is the time in seconds. What is the meaning of the highlighted segment?
Choices:
A: Kai completes 10 swing cycles per second.
B: The trapeze is hung $\mathbf{1 0}$ met... | C | |
353 | mathverse | Sia is swinging from a chandelier. The horizontal distance between Sia and the wall, in meters, is modeled by $D(t)$ where $t$ is the time in seconds. What is the meaning of the highlighted segment?
Choices:
A: The chandelier is hung 2 meters from the wall.
B: The furthest Sia gets from the point where the chandelier ... | B | |
355 | mathverse | Emile is observing a wind turbine. The vertical distance between the ground and the tip of one of the turbine's blades, in meters, is modeled by $H(t)$ where $t$ is the time in seconds. What is the meaning of the highlighted segment?
Choices:
A: The turbine's center is 35 meters above the ground.
B: The turbine comple... | A | |
356 | mathverse | Elena knows that Lea has a garden with an area of 100 square meters. She does not know the specific width, $w$, and length, $l$ of the garden. The graph below represents the widths that correspond to possible lengths of Lea's garden. As the possible width of Lea's garden increases, what does its possible length approac... | B | |
361 | mathverse | Which two of the following expressions are OPPOSITE of $\cos (\theta)$ ? Choose 2 answers:
Choices:
A: $\cos (\pi+\theta)$
B: $\cos \left(\frac{\pi}{2}-\theta\right)$
C: $\cos (\pi-\theta)$
D: $\cos (2 \pi-\theta)$ | A
C | |
368 | mathverse | f(x)=4(x-5)^2+2. Which function has a greater minimum, f(x) or g(x)?
Choices:
A: $f$ has a greater minimum than $g$.
B: $g$ has a greater minimum than $f$.
C: $f$ and $g$ share the same minimum. | B | |
369 | mathverse | f(x)=x^2+x-6. How many roots do the functions have in common, f(x) and g(x)?
Choices:
A: $f$ and $g$ share the same root(s).
B: $f$ and $g$ share one root in common but each have another root that is not shared.
C: $f$ and $g$ share no roots in common. | B | |
387 | mathverse | Mio bought a tablet and pays monthly for internet service for it. She graphed the relationship between the number of months she has had the tablet and the total amount she has spent on it.
What does the y-intercept represent in this context?
Choose 1 answer:
Choices:
A: The number of months after which the total cost ... | B | |
389 | mathverse | Whether the curve is the graph of a function.
Choices:
A: Yes
B: No | A | |
391 | mathverse | What does the graph tell you?
Choices:
A: The cost of a call increases by $\$ 0.90$ for each additional minute
B: Each additional dollar will buy an additional 0.9 minutes of call time
C: The cost of a call decreases by $\$ 0.90$ for each additional minute
D: Each additional dollar will buy 0.9 minutes less of call ti... | A | |
399 | mathverse | The graph shows Frank's speed while he is competing in a walking race. Which situation corresponds to the graph?
Choices:
A: Frank starts off at a constant speed and then increases his speed at a steady rate
B: Frank starts off by increasing his pace gradually and then maintains a constant speed
C: Frank starts off by... | B | |
405 | mathverse | The figure above shows a solid with height $\sqrt{3} x$. If the volume of the solid is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A: 3
B: 4
C: 5
D: 6 | A | |
432 | mathverse | In the figure above. If the radius of the larger circle is 4, what is the radius of the smaller circle?
Choices:
A: 1
B: 2
C: 4
D: 8
E: 16 | B | |
436 | geoqa | 如图,AB∥CD,直线EF交AB于点E,交CD于点F,EG平分∠BEF,交CD于点G,∠1=50°,则∠2等于()
选项:
A: 50°
B: 60°
C: 65°
D: 90° | C | |
439 | geoqa | 如图,四边形ABCD内接于⊙O,如果它的一个外角∠DCE=62°,那么∠BOD=()
选项:
A: 124°
B: 120°
C: 62°
D: 31° | A | |
451 | geoqa | 如图,AB为圆O的直径,点C为圆上一点,若∠OCA=25°,则∠BOC=()
选项:
A: 30°
B: 40°
C: 50°
D: 60° | C | |
461 | geoqa | 如图,AB与⊙O相切于点B,AO的延长线交⊙O于点C,连接BC,若∠A=36°,则∠C等于()
选项:
A: 36°
B: 54°
C: 60°
D: 27° | D | |
475 | geoqa | 如图,在△ABC中,∠ABC=50°,∠ACB=80°,BP平分∠ABC,CP平分∠ACB,则∠BPC的大小是()
选项:
A: 100°
B: 110°
C: 115°
D: 120° | C | |
491 | geoqa | 如图:∠AOB=80°,OC是∠AOB内的任一条射线,OD平分∠AOC,OE平分∠COB,则∠DOE=()
选项:
A: 30°
B: 45°
C: 40°
D: 60° | C | |
496 | geoqa | 如图所示,四边形ABCD是⊙O的内接四边形,∠BCD=110°,则∠BOD的大小是()
选项:
A: 70°
B: 110°
C: 120°
D: 140° | D | |
500 | geoqa | 如图,四边形ABCD是⊙O的内接四边形,若∠BOD=90°,则∠BCD的度数是()
选项:
A: 45°
B: 90°
C: 135°
D: 150° | C | |
504 | geoqa | 已知,如图,D、B、C、E四点共线,∠ABD+∠ACE=230°,则∠A的度数为()
选项:
A: 50°
B: 60°
C: 70°
D: 80° | A | |
522 | geoqa | 如图,AD是△ABC的角平分线,AE是△ABD的角平分线,若∠BAC=76°,则∠EAD的度数是()
选项:
A: 19°
B: 20°
C: 18°
D: 28° | A | |
540 | geoqa | 如图,⊙O的半径OC垂直于弦AB,D是优弧AB上的一点(不与点A,B重合),若∠BOC=50°,则∠ADC等于()
选项:
A: 40°
B: 30°
C: 25°
D: 20° | C | |
543 | geoqa | 如图,点B、D、C是⊙O上的点,∠BDC=130°,则∠BOC是()
选项:
A: 100°
B: 110°
C: 120°
D: 130° | A | |
546 | geoqa | 如图,在△ABC中,∠BDC=110°,点D是∠ABC和∠ACB角平分线的交点,则∠A=()
选项:
A: 40°
B: 50°
C: 60°
D: 70° | A | |
548 | geoqa | 如图所示,在△ABC中,∠A=∠B=50°,AK=BN,AM=BK,则∠MKN的度数是()
选项:
A: 50°
B: 60°
C: 70°
D: 100° | A | |
551 | geoqa | 如图,AB∥CE,∠B=60°,DM平分∠BDC,DM⊥DN,则∠NDE()
选项:
A: 30°
B: 40°
C: 50°
D: 60° | A | |
561 | geoqa | 如图,AB是⊙O的弦,OC⊥AB,交⊙O于点C,连接OA,OB,BC,若∠ABC=15°,则∠AOB的度数是()
选项:
A: 45°
B: 30°
C: 60°
D: 80° | C | |
572 | geoqa | 如图,直线a∥b,且被直线c所截,已知∠1=110°,则∠2的度数为()．
选项:
A: 108°
B: 72°
C: 70°
D: 60° | C | |
584 | geoqa | 如图,⊙I是△ABC的内切圆,D,E,F为三个切点．若∠DEF=52°,则∠A的度数为()
选项:
A: 76°
B: 68°
C: 52°
D: 38° | A | |
585 | geoqa | 如图,AB是⊙O的直径,BD,CD分别是过⊙O上点B,C的切线,且∠BDC=110°.连结AC,则∠A的度数是()
选项:
A: 15°
B: 30°
C: 35°
D: 45° | C | |
590 | geoqa | 如图,点C在射线BM上,CF是∠ACM的平分线,且CF∥AB,∠ACB=50°,则∠B的度数为()
选项:
A: 65°
B: 60°
C: 55°
D: 50° | A | |
608 | geoqa | 如图,在△ABC中,CD是∠ACB的平分线,∠A=80°,∠ACB=60°,那么∠BDC=()
选项:
A: 80°
B: 90°
C: 100°
D: 110° | D | |
609 | geoqa | 如图,在△ABC中,∠CAB=90°,将△ABC绕点A顺时针旋转60°得△ADE,则∠EAB的度数为()
选项:
A: 20°
B: 25°
C: 28°
D: 30° | D | |
617 | geoqa | 如图,直线a∥b,直线c与直线a,b分别相交于点A,B,AM⊥b,垂足为点M．如果∠1=58°,那么∠2=()
选项:
A: 32°
B: 58°
C: 42°
D: 122° | A | |
624 | geoqa | 如图,已知AF平分∠BAC,过F作FD⊥BC,若∠B比∠C大20度,则∠F的度数是()
选项:
A: 10°
B: 15°
C: 20°
D: 不能确定 | A | |
635 | geoqa | 如图,OC是∠AOB的平分线,OD是∠BOC的平分线,若∠AOB=120°,则∠AOD的度数为()
选项:
A: 30°
B: 60°
C: 50°
D: 90° | D | |
679 | geoqa | 如图所示,四边形ABCD为⊙O的内接四边形,∠BCD=120°,则∠BOD的大小是()
选项:
A: 80°
B: 90°
C: 100°
D: 120° | D | |
686 | geoqa | 如图,把一个长方形纸片沿EF折叠后,点D、C分别落在D′、C′的位置,若∠EFB=60°,则∠AED′=()
选项:
A: 50°
B: 55°
C: 60°
D: 65° | C | |
691 | geoqa | 如图,点A,B,C均在⊙O上,∠ACB=35°,则∠AOB的度数为()
选项:
A: 20°
B: 40°
C: 60°
D: 70° | D | |
694 | geoqa | 如图,已知AB、CD、EF相交于点O,已知∠AOE=24°,则∠BOE为()
选项:
A: 24°
B: 124°
C: 156°
D: 不能确定 | C | |
714 | geoqa | 如图,△ABC中,AD为△ABC的角平分线,BE为△ABC的高,∠C=70°,∠ABC=48°,那么∠3是()
选项:
A: 59°
B: 60°
C: 56°
D: 22° | A | |
722 | geoqa | 如图,一根长25m梯子,斜立在一竖直的墙上,这时梯足距墙底端7m,如果梯子的顶端下滑4m,那么梯足将滑动()
选项:
A: 15m
B: 9m
C: 8m
D: 7m | C | |
739 | geoqa | 如图,▱ABCD绕点A逆时针旋转30°,得到□AB′C′D′(点B′与点B是对应点,点C′与点C是对应点,点D′与点D是对应点),点B′恰好落在BC边上,则∠C=()
选项:
A: 105°
B: 170°
C: 155°
D: 145° | A | |
763 | geoqa | 如图,四边形ABCD内接于⊙O,若它的一个外角∠DCE=70°,则∠BOD=()
选项:
A: 35°
B: 70°
C: 110°
D: 140° | D | |
765 | geoqa | 如图,将△ABC沿BC方向平移2cm得到△DEF,若△ABC的周长为16cm,則四辺形ABFD的周长为()
选项:
A: 16cm
B: 18cm
C: 20cm
D: 22cm | C | |
768 | geoqa | 如图,把一块直角三角板的直角顶点放在直尺的一边上,若∠2=42°,则∠1=()
选项:
A: 48°
B: 42°
C: 40°
D: 45° | A | |
783 | geoqa | 已知:如图,菱形ABCD中,对角线AC与BD相交于点O,AC=6cm,BD=8cm,则菱形ABCD的边长为()
选项:
A: 6cm
B: 10cm
C: 5cm
D: 14cm | C | |
820 | geoqa | 如图,一个长为2.5米的梯子,一端放在离墙角1.5米处,另一端靠墙,则梯子顶端离墙角有()
选项:
A: 0.2米
B: 0.4米
C: 2米
D: 4米 | C | |
828 | geoqa | 如图所示,△ABC是⊙O的内接三角形.若∠ABC=70°,则∠AOC的度数等于()
选项:
A: 140°
B: 130°
C: 120°
D: 110° | A | |
850 | geoqa | 如图,线段AB是⊙O的直径,弦CD丄AB,∠CAB=25°,则∠AOD等于()
选项:
A: 155°
B: 140°
C: 130°
D: 110° | C | |
860 | geoqa | 如图,▱ABCD的周长为32cm,AC,BD相交于点O,OE⊥AC交AD于点E,则△DCE的周长为()
选项:
A: 8cm
B: 24cm
C: 10cm
D: 16cm | D | |
871 | geoqa | 如图,在△ABC中,BF平分∠ABC,CF平分∠ACB,∠BFC=115°,则∠A的度数是()
选项:
A: 50°
B: 57.5°
C: 60°
D: 65° | A | |
876 | geoqa | 如图,平行四边形ABCD中,CE⊥AB于E,如果∠A=125°,则∠BCE度数是()
选项:
A: 35°
B: 45°
C: 55°
D: 60° | A | |
893 | geoqa | 如图,一副三角板(直角顶点重合)摆放在桌面上,若∠AOD=150°,则∠BOC等于()
选项:
A: 30°
B: 45°
C: 50°
D: 60° | A | |
897 | geoqa | 如图所示,在△ABC中,D是BC延长线上一点,∠B=38°,∠A=62°,则∠ACD等于()
选项:
A: 24°
B: 38°
C: 62°
D: 100° | D | |
906 | geoqa | 如图,点D、E分别是⊙O的内接正三角形ABC的AB、AC边上的中点,若⊙O的半径为2,则DE的长等于()
选项:
A: √{3}
B: √{2}
C: 1
D: \frac{√{3}}{2} | A | |
924 | geoqa | 如图1,在⊙O中,若点C是⁀{AB}中点,∠OAB=50°,则∠BOC的度数为()
选项:
A: 40°
B: 45°
C: 50°
D: 60° | A | |
930 | geoqa | 如图,AB为⊙O的直径,C,D为⊙O上两点,若∠BCD=40°,则∠ABD的大小为()
选项:
A: 20°
B: 40°
C: 50°
D: 60° | C | |
931 | geoqa | 如图,AB,CD是⊙O的直径,DF,BE是弦,若⁀{DF}=⁀{BE},∠B=50°,则∠D的度数为()
选项:
A: 25°
B: 40°
C: 50°
D: 60° | C | |
944 | geoqa | 如图,已知∠AOB是⊙O的圆心角,∠AOB=60°,则圆周角∠ACB的度数是()
选项:
A: 50°
B: 25°
C: 100°
D: 30° | D | |
956 | geoqa | 如图,已知∠CAB是⊙O的圆周角,∠CAB=50°,则圆心角∠BOC是()
选项:
A: 40°
B: 50°
C: 80°
D: 100° | D | |
966 | geoqa | 如图所示,点A,B,C都在圆O上,若∠C=32°,则∠AOB的度数是()
选项:
A: 32°
B: 60°
C: 64°
D: 72° | C | |
967 | geoqa | 如图,点A、B、C在⊙O上,∠A=32°,则∠BOC的度数为()
选项:
A: 30°
B: 64°
C: 50°
D: 28° | B | |
979 | geoqa | 如图,AB是⊙O的直径,点C、D在⊙O上,若∠CAB=40°,则∠ADC的度数为()
选项:
A: 25°
B: 30°
C: 45°
D: 50° | D | |
981 | geoqa | 如图,AB为⊙O的直径,C、D是⊙O上的两点,∠BAC=30°,⁀{AD}=⁀{CD}．则∠DAC等于()
选项:
A: 70°
B: 45°
C: 30°
D: 25° | C | |
990 | geoqa | 如图,⊙O的直径AB垂直于弦CD,垂足是E,∠A=22.5°,OC=3,则CD的长为()
选项:
A: 3
B: 3√{2}
C: 6
D: 6√{2} | B | |
998 | geoqa | 如图,将一块三角板的直角顶点放在直尺的一边上,当∠2=38°时,∠1=()
选项:
A: 52°
B: 38°
C: 42°
D: 60° | A | |
1,008 | geoqa | 如图,⊙O的直径AB垂直于弦CD,垂足是点E,∠CAO=22.5°,OC=6,则CD的长为()
选项:
A: 6√{2}
B: 3√{2}
C: 6
D: 12 | A | |
1,022 | geoqa | 如图,AB是的直径,C、D是圆上两点,连接AC,AD,CD．若∠CAB=35°,则∠ADC的度数为()
选项:
A: 55°
B: 45
C: 35°
D: 25° | A |
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