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As shown in the figure, AB is a straight line, and OC is the bisector of $\angle AOD$. As shown in Figure (2), if the ratio $\angle DOE : \angle BOD = 2 : 5$ and $\angle COE = 80^\circ$, find the degree measure of $\angle BOE$.
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As shown in the figure, line $AB$ intersects line $CD$ at point $O$, $OE \perp CD$ and $OE$ bisects $\angle BOF$. If $\angle BOD$ is $10^\circ$ larger than $\angle BOE$, what is the degree measure of $\angle COF$?
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As shown in the figure, with point O as the endpoint, make rays OA, OB, OC, OD, and OE in clockwise order. Moreover, OB is the bisector of $\angle AOC$ and OD is the bisector of $\angle COE$. When $\angle AOD = n^\circ$, then $\angle BOE = (150 - n)^\circ$. What is the degree measure of $\angle BOD$?
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"\\boxed{50}"
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In the square $ABCD$, $E$ is the midpoint of $BC$, and $F$ is a point on $CD$ such that $CF = \frac{1}{4}CD$. Prove what the degree measure of $\angle AEF$ is.
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As shown in the figure, point $O$ is the intersection point of the diagonals of rhombus $ABCD$, with $CE\parallel BD$ and $EB\parallel AC$. Line $OE$ is drawn and intersects $BC$ at point $F$. Quadrilateral $OBEC$ is a rectangle. Line $DG$ is drawn perpendicular to the extension of line $BA$ at point $G$, and line $OG$ is connected. If $OC:OB=1:2$ and $OE=4\sqrt{5}$, find the length of $OG$.
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As shown in the figure, the diagonals AC and BD of rectangle ABCD intersect at point O, with BE $\parallel$ AC, and CE $\parallel$ DB. Quadrilateral OBEC is a rhombus; if AD = 4 and AB = 2, find the area of the rhombus OBEC.
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As shown in the figure, the line $l\colon y=\frac{4}{3}x+b$ passes through point $A(-3,0)$ and intersects the $y$-axis at point $B$. The bisector of $\angle OAB$ intersects the $y$-axis at point $C$. A perpendicular line to line $AB$ passing through point $C$ intersects the $x$-axis at point $E$, and the foot of the perpendicular is point $D$. Let point $P$ be a moving point on the $y$-axis. When the value of $PA+PD$ is minimized, please write down the coordinates of point $P$ directly.
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As shown in the figure, in $\triangle ABC$, $AD\perp BC$ at point $D$, $E$ is a point on $AD$, and $AE: ED = 7: 5$. $CE$ is extended to intersect side $AB$ at point $F$, $AC = 13$, $BC = 8$, $\cos\angle ACB = \frac{5}{13}$. Find the value of $\tan\angle DCE$?
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As shown in the figure, the graph of the linear function $y=kx+b$ intersects with the graph of the inverse proportion function $y=\frac{m}{x}$ at points $P(2, a)$ and $Q(-1, -4)$. Based on the graph, directly write the solution set for the inequality $\frac{m}{x}>kx+b$ with respect to $x$.
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As shown in the diagram, in rectangle $ABCD$, $BC>CD$, and $BC$ and $CD$ are the two roots of the quadratic equation ${x}^{2}-14x+48=0$. Connect $BD$. A moving point $P$ starts from $B$ and moves towards $D$ along $BD$ at a speed of $1$ unit per second. At the same time, another moving point $Q$ starts from $D$ and moves along the ray $DA$ at the same speed. When point $P$ reaches point $D$, point $Q$ stops moving. Let the movement time be $t$ seconds. Construct $\triangle PQM$ with $PQ$ as the hypotenuse, such that point $M$ lies on the segment $BD$. What is the maximum area of $\triangle PDQ$?
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In a Cartesian coordinate system, suppose the inverse proportional function $y_{1}=\frac{k_{1}}{x}$ ($k_{1}\ne 0$) and the linear function $y_{2}=k_{2}x+b$ ($k_{2}\neq 0$) both pass through points $A$ and $B$, with coordinates of point $A$ being $(1, m)$ and coordinates of point $B$ being $(-2, -2)$. If the graph of the function $y_{2}$ is translated downwards by $n$ ($n>0$) units, and intersects with the graph of the function $y_{1}$ at points $(p_{1}, q_{1})$ and $(p_{2}, q_{2})$, given that $p_{1}=-1$, find the values of $n$ and $p_{2}\times q_{2}$ at this time.
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As shown in the figure, the line \(y = -\frac{4}{3}x + 8\) intersects the x-axis and y-axis at points A and B, respectively. Point M is a point on OB. If \(\triangle ABM\) is folded along AM, point B exactly falls on point \(B^{\prime}\) on the x-axis. Find the coordinates of point M.
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As shown in the coordinate system, the line $l_{1}\colon y=-x+2$ intersects the $x$-axis at point $P$, and the line $l_{2}\colon y=ax-4$ passes through point $P$. Points $M$ and $N$ lie on lines $l_{1}$ and $l_{2}$, respectively, and are symmetric about the origin. What is the area of $\triangle PMN$?
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As shown in the figure, the parabola intersects the x-axis at $A(5, 0)$ and $B(-1, 0)$, and intersects the positive semi-axis of the y-axis at point $C$. Lines $BC$ and $AC$ are drawn, and it is known that $\sin\angle BAC=\frac{\sqrt{2}}{2}$. What is the analytical equation of the parabola?
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[
"\\boxed{y=-\\left(x-5\\right)\\left(x+1\\right)=-x^{2}+4x+5}"
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As shown in Figure 1, the quadrilateral ABCD and the quadrilateral CEFG are both rectangles, with points E and G located on the sides CD and CB respectively, and point $F$ on AC, with $AB=3$, $BC=4$. Calculate the value of $\frac{AF}{BG}$.
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As shown in the figure, it is known that in the parallelogram $ABCD$, $G$ is a point on the extension line of $AB$. Connect $DG$, which intersects $AC$ and $BC$ at points $E$ and $F$ respectively, and $AE: EC = 3: 2$. If $AB = 10$, what is the length of $BG$?
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As illustrated, it is known that the line $AB$ intersects with $CD$ at point $O$, $OE\perp CD$, and $\angle AOC=40^\circ$, with $OF$ being the angle bisector of $\angle AOD$. What is the degree measure of $\angle EOB$?
|
[
"\\boxed{50}"
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As shown in the diagram, point $O$ is on line $AB$, $\angle COD$ is a right angle, and $OE$ bisects $\angle BOC$. As shown in figure 2, if $\angle COE = \angle DOB$, find the measure of $\angle AOC$.
|
[
"\\boxed{120}"
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Given the diagram, a circle with its center at the origin O intersects the x-axis at points A and B and intersects the positive half of the y-axis at point C. D is a point on the circle O located in the first quadrant. If ∠DAB=15, then what is the measure of ∠OCD?
|
[
"\\boxed{60}"
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[
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Find the perimeter of the rectangular prism.
|
[
"\\boxed{112}"
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In the diagram below, both squares have a equal side length. What is the area of the azure region?
|
[
"\\boxed{1}"
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"images/12325176-cfef-421f-9f7f-9953066963e1-0.png"
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Find the chromatic number of the following graph.
|
[
"\\boxed{3}"
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Find the difference between the number of blue nodes and red nodes.
|
[
"\\boxed{5}"
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"images/e850bb15-2298-413e-b351-041c449287b9-0.png"
] | null | 1,959 |
An object is placed near a plane mirror, as shown above. Which of the labeled points is the position of the image? choice: (A) point A (B) point B (C) point C
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"\\boxed{C}"
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According to the algorithm chart, if we input 47, what is the output?
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[
"\\boxed{53}"
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"images/69eec08b-a766-446b-9b80-fa18c3f44ba3-0.png"
] | null | 1,961 |
Each of the digits 6, 3, 0 and 1 will be placed in a square. Then there will be two numbers, which will be added together. What is the biggest number that they could make?
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[
"\\boxed{91}"
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The area chart below represents monthly temperatures in different cities. Which city had the highest temperature in any single month? Choices: (A) City A (B) City B (C) City C (D) City D
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[
"\\boxed{A}"
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"images/c6fb908d-2559-443e-af20-2efd04ceca49-0.png"
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The pair plot below represents different features. Which feature has the highest variance? Choices: (A) Feature A (B) Feature B (C) Feature C (D) Feature D
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[
"\\boxed{C}"
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Given rectangle $\mathrm{ABCD}$ with one side length of 20 and the other side length of $\mathrm{a}(\mathrm{a}<20)$, a square is cut out, leaving a rectangle, which is called the first operation. In the remaining rectangular paper, another square is cut out, leaving another rectangle, which is called the second operation. If after the third operation, the remaining rectangle is a square, then the value of $\mathrm{a}$ is ( )
<image_1>
Figure 1
<image_2>
Figure 2
A. 5
B. $5, 8$
C. 5, 8, 15
D. $5, 8, 12, 15$
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"images/c7d16b6e-e7a0-4115-bbc7-39c47dfe1b80-1.jpg"
] | null | 1,965 |
As shown in Figure 1, a pair of right-angled triangles are placed with one side overlapping. In Figure 2, the right-angled triangle $A C D$ with a $45^\circ$ angle is rotated clockwise around point $A$ by $30^\circ$ to form $\triangle A C'^{\prime} D'^{\prime}$. If $B C = 2$, what is the area of $\triangle B C C'^{\prime}$?
<image_1>
Figure 1
<image_2>
Figure 2
A. $2 \sqrt{3}-3$
B. $3-\sqrt{3}$
C. $4 \sqrt{3}-6$
D. $6-2 \sqrt{3}$
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[
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] | null | 1,966 |
As shown in Figure (1), there is a right-angled triangle paper, with $\angle C = 90^\circ, AB = 13 \text{ cm}, BC = 5 \text{ cm}$. It is folded so that point C falls on the hypotenuse at point $C^\prime$, and the crease is BD (as shown in Figure (2)). The length of DC is ( )
<image_1>
Figure (1)
<image_2>
Figure (2)
A. $\frac{10}{3} \text{ cm}$
B. $\frac{8}{3} \text{ cm}$
C. $\frac{5}{2} \text{ cm}$
D. $\sqrt{5} \text{ cm}$
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[
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] | null | 1,967 |
In recent times, balloons in various shapes are very popular among children. As shown in Figure 1, this is a "Bing Dwen Dwen" shaped balloon, which is filled with a certain mass of gas. When the temperature remains constant, the pressure of the gas inside the balloon, $p(\text{kPa})$, is inversely proportional to the volume of the balloon, $V(\text{m}^3)$. The graph of this relationship is shown in Figure 2. If the pressure inside the balloon exceeds $200 \text{kPa}$, the balloon will explode. For safety reasons, the range of the balloon's volume, $V$, should be *
<image_1>
Figure 1
<image_2>
Figure 2
A. $V > 0.48 \text{ m}^3$
B. $V < 0.48 \text{ m}^3$
C. $V \geq 0.48 \text{ m}^3$
D. $V \leq 0.48 \text{ m}^3$
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[
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] | null | 1,968 |
Yongzhuo Temple Twin Towers, also known as the Lingshao Twin Towers, are the tallest buildings among the existing ancient structures in Taiyuan, Shanxi Province. Each of the thirteen stories is an octagonal pavilion-style hollow brick tower, as shown in Figure 1. As depicted in Figure 2, the octagon represents the floor plan of one of the stories. The measure of each interior angle of this octagon is ( )
<image_1>
Figure 1
<image_2>
Figure 2
A. $80^{\circ}$
B. $100^{\circ}$
C. $120^{\circ}$
D. $135^{\circ}$
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[
"\\boxed{D}"
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] | null | 1,969 |
In the figure, there are shapes formed by connecting 1, 2, and $n$ (where $n$ is a positive integer) squares. In Figure 1, $x = 70^\circ$; in Figure 2, $y = 28^\circ$. Based on these calculations, express the sum $a + b + c + \ldots + d$ in Figure 3 as a function of $n$.
<image_1>
Figure 1
<image_2>
Figure 2
<image_3>
Figure 3
A. $45^\circ n$
B. $90^\circ n$
C. $135^\circ n$
D. $180^\circ n$
|
[
"\\boxed{B}"
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"images/e8b7e0b3-0bc6-4a64-a33a-4e172b02bef7-2.jpg"
] | null | 1,970 |
As shown in the figure, in right triangle $\triangle A B C$, $\angle C$ is a right angle, $D E$ is the median, and point $P$ starts from point $D$ and moves along the direction $D \rightarrow C \rightarrow B$ at a speed of $1.5 \mathrm{~cm} / \mathrm{s}$ until it reaches point $B$. Figure 2 shows the graph of the area $y\left(\mathrm{~cm}^{2}\right)$ of $\triangle D E P$ against time $x(\mathrm{~s})$ as point $P$ moves. What is the value of $a$?
<image_1>
Figure 1
<image_2>
Figure 2
A. 3
B. $\frac{3}{2}$
C. $\frac{4}{3}$
D. 4.5
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[
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] | null | 1,971 |
As shown in Figure 1, the rectangular box contains a modern tangram puzzle, which consists of two identical semicircles (1) and (7), an isosceles right triangle (2), an irregular angular figure (3), a right trapezoid (4), an irregular circular figure (5), and a circle (6). It is known that $A J=B K$. To celebrate the Beijing Winter Olympics, Xiao Ming put the tangram puzzle into a skater pattern, as shown in Figure 2. If $A B$ is parallel to the ground $M N, A J=2$, then the height of the pattern is $(\quad)$
<image_1>
Figure 1
<image_2>
Figure 2
A. 8
B. $9-\frac{\sqrt{2}}{2}$
C. $7+\sqrt{2}$
D. $10-\sqrt{2}$
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[
"\\boxed{B}"
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"images/edb43c2f-5caa-4866-8089-f3233f99b444-1.jpg"
] | null | 1,972 |
In a school's science and technology club, Xiaoming follows these steps to make a practical device: (1) Xiaoming takes a circular thin iron ring provided by the teacher, finds the center $O$ using the knowledge learned in the chapter on circles, and then chooses an arbitrary diameter, which he marks as $\mathrm{AB}$ (as shown in Figure 1). He measures $\mathrm{AB}$ to be 4 decimeters; (2) He folds the ring so that point $\mathrm{B}$ falls on the center $O$, creating intersection points $\mathrm{C}$ and $\mathrm{D}$ between the folded and unfolded parts of the ring (as shown in Figure 2); (3) He connects points $\mathrm{C}$ and $\mathrm{D}$ with a thin rubber rod (as shown in Figure 3); (4) He calculates the length of the rubber rod $\mathrm{CD}$.
<image_1>
Figure 1.
<image_2>
Figure 2.
<image_3>
Figure 3.
Xiaoming calculates the length of the rubber rod CD as $(\quad)$
A. $2 \sqrt{2}$ decimeters
B. $2 \sqrt{3}$ decimeters
C. $3 \sqrt{2}$ decimeters
D. $3 \sqrt{3}$ decimeters
##
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[
"\\boxed{B}"
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"images/06c59a29-4889-4c48-ad65-f5dd861369f9-2.jpg"
] | null | 1,973 |
The Fibonacci spiral, also known as the "golden spiral," can be constructed by drawing successive semicircles with radii $1, 1, 2, 3, 5, \ldots$ and central angles of $90^\circ$ (as shown in the figure). In the first step, the semicircle has a radius of $1 \mathrm{~cm}$. Following the method shown in the figure, the arc length of the semicircle drawn in the eighth step is ( )
<image_1>
Step 1
<image_2>
Step 3
<image_3>
Step 4
A. $4 \pi$
B. $\frac{21}{2} \pi$
C. $17 \pi$
D. $\frac{55}{2} \pi$
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[
"\\boxed{B}"
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[
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"images/a82921d9-7dce-4862-abd3-7855c512fe02-2.jpg"
] | null | 1,974 |
As shown in Figure 1, this is a figure created by the ancient Chinese mathematician Zhao Shang to prove the Pythagorean Theorem. It is later called "Zhao Shang's String Diagram." Figure 2 is derived from the string diagram, consisting of eight congruent right-angled triangles. Let the areas of the squares $A B C D$, $E F G H$, and $M N K T$ be denoted as $S_{1}$, $S_{2}$, and $S_{3}$, respectively. If
$S_{1}+S_{2}+S_{3}=24$, then the value of $S_{2}$ is ( ).
<image_1>
Figure 1
<image_2>
Figure 2
A. 10
B. 9
C. 8
D. 7
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[
"\\boxed{C}"
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[
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] | null | 1,975 |
As shown in Figure (1), a rectangular paper sheet ($\mathrm{AD} // \mathrm{BC}$) is folded along $\mathrm{EF}$ to form Figure (2). The line segment $\mathrm{ED}$ intersects $\mathrm{BC}$ at point $\mathrm{H}$, and then it is folded along $\mathrm{HF}$ to form Figure (3). If $\angle \mathrm{DEF}$ in Figure (1) is $28^\circ$, what is the measure of $\angle \mathrm{CFE}$ in Figure (3)?
<image_1>
(1)
<image_2>
(2)
<image_3>
(3)
A. $84^{0}$
B. $96^{0}$
C. $112^{0}$
D. $124^{0}$
|
[
"\\boxed{B}"
] |
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[
"images/53bf5ad3-f8d8-47e6-a21d-1eb252e8b88b-0.jpg",
"images/53bf5ad3-f8d8-47e6-a21d-1eb252e8b88b-1.jpg",
"images/53bf5ad3-f8d8-47e6-a21d-1eb252e8b88b-2.jpg"
] | null | 1,976 |
As shown in Figure 1, the center pattern of a tablecloth consists of several squares. Xiaoming bought a tablecloth with exactly two square patterns, as shown in Figure 2. If $A B=C E=E F=4$, and points $A, C, E, G$ are on the same straight line, then the length $A G$ of the tablecloth is $(\quad)$.
<image_1>
Figure 1
<image_2>
Figure 2
A. $2 \sqrt{2}+8$
B. $8 \sqrt{2}+4$
C. $4 \sqrt{2}+4$
D. $6 \sqrt{2}+4$
|
[
"\\boxed{B}"
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|
[
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"images/a001e151-a1c6-426f-8f13-3ffd0d2582f9-1.jpg"
] | null | 1,977 |
In quadrilateral $A B C D$ as shown in Figure 1, $A B \parallel C D$ and $\angle A D C = 90^\circ$. Point $P$ starts from point $A$ and moves at a speed of 1 unit per second along the edges in the order $A \rightarrow B \rightarrow C \rightarrow D$. Let the time of $P$'s movement be $t$ seconds, and the area of $\triangle P A D$ be $S$. The graph of $S$ as a function of $t$ is shown in Figure 2. When point $P$ reaches the midpoint of $B C$, the area of $\triangle P A D$ is ( )
<image_1>
Figure 1
<image_2>
Figure 2
A. 7
B. 7.5
C. 8
D. 8.6
|
[
"\\boxed{A}"
] |
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|
[
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"images/e64f5582-a88e-4512-b8ca-432a184726cc-1.jpg"
] | null | 1,978 |
Xiao Zhang took a picture with his phone to get Figure A, and after magnification, he got Figure B. The corresponding segment of segment AB in Figure A in Figure B is ( )
<image_1>
Figure A
<image_2>
Figure B
A. FG
B. FH
C. EH
D. EF
|
[
"\\boxed{D}"
] |
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|
[
"images/823da09b-b883-4653-afa4-5fe0b7684aab-0.jpg",
"images/823da09b-b883-4653-afa4-5fe0b7684aab-1.jpg"
] | null | 1,979 |
Place a pair of right-angled triangles as shown in Figure 1, where $\angle A C B = \angle D E C = 90^\circ$, $\angle A = 45^\circ$, and $\angle D = 30^\circ$. The hypotenuse $A B$ is 6 units, and $C D$ is 8 units. Rotate triangle $D C E$ clockwise around point $C$ by $15^\circ$ to obtain $\triangle D_{I} C E_{I}$ (as shown in Figure 2). At this time, $A B$ intersects $C D_{1}$ at point $O$. The length of segment $A D_{1}$ is ( )
<image_1>
Figure 1
<image_2>
Figure 2
A. 4
B. $3 \sqrt{2}$
C. 6
D. $\sqrt{34}$
|
[
"\\boxed{D}"
] |
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|
[
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"images/6771bf01-519c-4865-bfc2-a041af0beede-1.jpg"
] | null | 1,980 |
Two identical right-angled triangles are placed as shown in Figure (1) (points $A, B, D$ are on the same straight line), where $\angle B = 60^\circ$ and $\angle C = 30^\circ$. Triangle $A B C$ is rotated clockwise around the right-angled vertex $A$ to form triangle $A F G$, and $A G$ intersects $D E$ at point $H$ (as shown in Figure 2). Let the rotation angle be $\beta\left(0^\circ < \beta < 90^\circ\right)$. When triangle $A D H$ is an isosceles triangle, the measure of the rotation angle $\beta$ is ( )
<image_1>
(1)
<image_2>
(2)
A. $20^\circ$
B. $20^\circ$ or $60^\circ$
C. $15^\circ$ or $60^\circ$
D. $60^\circ$
|
[
"\\boxed{C}"
] |
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|
[
"images/40e90d69-b89c-49c7-98bc-9f89bb8ef441-0.jpg",
"images/40e90d69-b89c-49c7-98bc-9f89bb8ef441-1.jpg"
] | null | 1,981 |
In rectangle $A B C D$ as shown in Figure (1), point $E$ is on $A D$, and $\angle A E B = 60^\circ$. The figure is folded along the creases $B E$ and $C E$ and pressed flat, as shown in Figure (2). If $\angle A E D = 10^\circ$, what is the measure of $\angle D E C$?
<image_1>
Figure (1)
<image_2>
Figure (2)
A. $25^\circ$
B. $30^\circ$
C. $35^\circ$
D. $40^\circ$
|
[
"\\boxed{C}"
] |
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|
[
"images/74a2b632-9a57-4770-b5e6-d4afb339ce36-0.jpg",
"images/74a2b632-9a57-4770-b5e6-d4afb339ce36-1.jpg"
] | null | 1,982 |
Pythagorean theorem is an important theorem in geometry, and there is a record in the ancient Chinese mathematical book "Zhou Bi Suan Jing" that states, "If the leg (the shorter side) is three, and the side (the longer side) is four, then the hypotenuse (the side opposite the right angle) is five." As shown in Figure 1, a figure is constructed using equal small squares and right-angled triangles, which can be used to verify the Pythagorean theorem through their area relationships. Figure 2 is obtained by placing Figure 1 inside a rectangle, where $\angle B A C = 90^\circ, A B = 6, B C = 10$. Points $D, E, F, G, H, I$ are on the edges of the rectangle $K L M J$. The area of the rectangle $K L M J$ is ( )
<image_1>
Figure 1
<image_2>
Figure 2
A. 420
B. 440
C. 430
D. 410
|
[
"\\boxed{B}"
] |
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|
[
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"images/011ff253-7e3c-4a55-af72-945ba8baa738-1.jpg"
] | null | 1,983 |
Using 10 sticks to form the pattern shown in Figure 1, please move 3 sticks to form the pattern shown in Figure 2. How many ways are there to move the sticks?
<image_1>
Figure 1
<image_2>
Figure 2
A. 1 way
B. 2 ways
C. 3 ways
D. 4 ways
|
[
"\\boxed{B}"
] |
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|
[
"images/b9192d04-53ac-4f11-8a68-676b7a9d1c08-0.jpg",
"images/b9192d04-53ac-4f11-8a68-676b7a9d1c08-1.jpg"
] | null | 1,984 |
Viewing the solid in Figure 1 from a certain direction, if the resulting view is Figure 2, then this direction is ( )
<image_1>
Figure 1
<image_2>
Figure 2
A. Above
B. Left
C. Above or Front
D. Left or Front
|
[
"\\boxed{D}"
] |
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|
[
"images/a1f3c174-e147-46f3-ba3a-e531d0fc37f3-0.jpg",
"images/a1f3c174-e147-46f3-ba3a-e531d0fc37f3-1.jpg"
] | null | 1,985 |
In rhombus $\mathrm{ABCD}$ as shown in Figure 1, $\mathrm{AB}=2$ and $\angle \mathrm{BAD}=60^\circ$. A perpendicular $\mathrm{DE}$ is drawn from point $\mathrm{D}$ to side $\mathrm{AB}$ at point $\mathrm{E}$, and a perpendicular $\mathrm{DF}$ is drawn from point $\mathrm{D}$ to side $\mathrm{BC}$ at point $\mathrm{F}$. The angle $\angle \mathrm{EDF}$ is rotated clockwise around point $\mathrm{D}$ by $\alpha^\circ (0<\alpha<180)$, with its corresponding sides $\mathrm{DE}^\prime$ and $\mathrm{DF}^\prime$ intersecting sides $\mathrm{AB}$ and $\mathrm{BC}$ at points $G$ and $P$, respectively, as shown in Figure 2. The line segment $GP$ is drawn. When the area of triangle $\triangle \mathrm{DGP}$ equals $3\sqrt{3}$, the value of $\alpha$ is $(\quad)$.
<image_1>
Figure 1
<image_2>
A. 30
B. 45
C. 60
D. 120
|
[
"\\boxed{C}"
] |
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|
[
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"images/57d657ac-cb80-434a-bb2d-c4cdf8a0f40a-1.jpg"
] | null | 1,986 |
A right-angled triangular wooden board has a length of $1 \mathrm{~cm}$ for one of its right-angled sides, $A C$. Its area is $1 \mathrm{~cm}^{2}$. Person A and Person B each process the board into a square tabletop according to Figure (1) and Figure (2), respectively. Among (1) and (2), the square with the larger area is ( )
<image_1>
(1)
<image_2>
(2)
A. (1)
B. (2)
C. The same
D. Indeterminable
|
[
"\\boxed{A}"
] |
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|
[
"images/ac82d278-4d2f-4c2a-adf8-66b2adc6edaf-0.jpg",
"images/ac82d278-4d2f-4c2a-adf8-66b2adc6edaf-1.jpg"
] | null | 1,987 |
As shown in Figure (1), in the square $A B C D$, point $E$ is on the side $A D$. The line segment $B E$ is drawn, and an equilateral triangle $\triangle B E F$ is constructed with $B E$ as a side, with point $F$ lying on the extension of $B C$. A moving point $M$ starts from point $B$ and moves along the path $B \rightarrow E \rightarrow F$ towards point $F$ at a constant speed. A line segment $M P$ is drawn perpendicular to $A D$ at point $P$. Let the distance traveled by point $M$ be $x$, and the area of $\triangle P E M$ be $y$. The graph of the function relationship between $y$ and $x$ is shown in Figure (2). The length of $D E$ is ( )
<image_1>
Figure (1)
<image_2>
Figure (2)
A. $3-\sqrt{3}$
B. $3+\sqrt{3}$
C. $2-\sqrt{3}$
D. $2+\sqrt{3}$
|
[
"\\boxed{A}"
] |
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|
[
"images/5eeca575-d38e-4d6c-bf9d-61b06cd26669-0.jpg",
"images/5eeca575-d38e-4d6c-bf9d-61b06cd26669-1.jpg"
] | null | 1,988 |
Figure 1 is a tablet stand composed of a tray, a support board, and a base. When in use, the tablet can be attached to the tray, and the base is placed on the desk. Figure 2 is a side structural diagram of the stand. Given that the tray $A B$ is 200 mm long, and the support board $C B$ is 80 mm long, when $\angle A B C = 130^\circ$ and $\angle B C D = 70^\circ$, the distance from the top point $A$ of the tray to the plane containing the base $C D$ is ( ) (rounded to 1 mm). (Reference data: $\sin 70^\circ \approx 0.94, \cos 70^\circ \approx 0.34, \tan 70^\circ \approx 2.75, \sqrt{2} \approx 1.41, \sqrt{3} \approx 1.73$).
<image_1>
Figure 1
<image_2>
Figure 2
A. $246 \mathrm{~mm}$
B. $247 \mathrm{~mm}$
C. $248 \mathrm{~mm}$
D. $249 \mathrm{~mm}$
|
[
"\\boxed{C}"
] |
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|
[
"images/5295056c-1c99-4d4c-8e07-1e06245d432c-0.jpg",
"images/5295056c-1c99-4d4c-8e07-1e06245d432c-1.jpg"
] | null | 1,989 |
As shown in the figure, $A B C D$ is a square piece of paper, $E$ and $F$ are the midpoints of $A B$ and $C D$ respectively. By folding along the crease passing through point $D$, point $A$ is placed on $E F$ (as shown in Figure (2) as point $A^{\prime}$). The crease intersects $A E$ at point $G$. What is the measure of $\angle A D G$?
<image_1>
Figure (1)
<image_2>
Figure (2)
A. $15^{\circ}$
B. $20^{\circ}$
C. $25^{\circ}$
D. $30^{\circ}$
|
[
"\\boxed{A}"
] |
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|
[
"images/70afb644-eca4-47a6-9ed6-f075a89c0a04-0.jpg",
"images/70afb644-eca4-47a6-9ed6-f075a89c0a04-1.jpg"
] | null | 1,990 |
In ancient China, during the Western Zhou Dynasty, mathematician Shang Gao summarized a method of measuring the height of an object using a "square" (as shown in Figure 1): Place the square's sides as shown in Figure 2, with one end A (the observer's eye) looking at point E, making the line of sight pass through the other end point C. Label the observer's standing position as point B, and measure the length $B G$. The height of the object $E G$ can then be calculated. Given $a = 30 \text{ cm}, b = 60 \text{ cm}, A B = 1.6 \text{ m}, B G = 2.4 \text{ m}$, the height of $E G$ is $(\quad)$
<image_1>
Figure 1
<image_2>
Figure 2
A. $1.2 \text{ m}$
B. $2.8 \text{ m}$
C. $4.8 \text{ m}$
D. $6.4 \text{ m}$
|
[
"\\boxed{B}"
] |
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|
[
"images/47f14d49-79d2-49e1-8369-da7c714e0343-0.jpg",
"images/47f14d49-79d2-49e1-8369-da7c714e0343-1.jpg"
] | null | 1,991 |
Figure 1 shows a slide in a park, and Figure 2 is a diagram of it. The height $B C$ of the slide is $2 \text{ m}$, and the slope angle $\angle A$ is $60^\circ$. Due to the steep slope, which poses a safety concern, the park management decides to renovate the slide. They plan to keep the height unchanged while extending the horizontal distance $A B$ to ensure that the slope angle $\angle A$ falls within the range $30^\circ \leq \angle A \leq 45^\circ$. The possible extension distance for $A B$ is ( )
(Reference data: $\sqrt{2} \approx 1.414, \sqrt{3} \approx 1.732$ )
<image_1>
Figure 1
<image_2>
Figure 2
A. $0.8 \text{ m}$
B. $1.6 \text{ m}$
C. $2.4 \text{ m}$
D. $3.2 \text{ m}$
|
[
"\\boxed{B}"
] |
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|
[
"images/a73345ae-c1c6-4738-b9be-1e018d244ce6-0.jpg",
"images/a73345ae-c1c6-4738-b9be-1e018d244ce6-1.jpg"
] | null | 1,992 |
The "Golden Ratio" gives a sense of aesthetics and is widely applied in architecture, art, and other fields. As shown in Figure (1), if point $C$ divides segment $A B$ into two parts such that $B C: A C=A C: A B$, then point $C$ is called a golden section point of segment $A B$. As shown in Figure (2), points $C, D, E$ are the golden section points of segments $A B, A C, A D$ respectively, with $(A C>B C, A D>D C, A E>E D)$, and if $A B=1$, then the length of $A E$ is ( )
<image_1>
Figure (1)
<image_2>
Figure (2)
A. $\sqrt{5}-2$
B. $\frac{\sqrt{5}-2}{2}$
C. $\frac{3-\sqrt{5}}{2}$
D. $\frac{\sqrt{5}-1}{2}$
|
[
"\\boxed{A}"
] |
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|
[
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"images/ca8ae019-6523-47b9-9742-7f9803b2e91e-1.jpg"
] | null | 1,993 |
As shown, a square with side length $10 \mathrm{~cm}$ is divided to create a set of tangram pieces. Figure 2 shows the assembled "small house," where the area of the shaded part is $\qquad$ $\mathrm{cm}^{2}$.
<image_1>
Figure 1
<image_2>
Figure 2
|
[
"\\boxed{50}"
] |
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|
[
"images/d02f9251-79b1-4bdc-8505-c3d717334195-0.jpg",
"images/d02f9251-79b1-4bdc-8505-c3d717334195-1.jpg"
] | null | 1,994 |
The image on the left is the emblem of the Seventh International Congress on Mathematical Education (ICME 7). The main pattern of the emblem is derived from a series of right-angled triangles as shown in the image on the right, where $\mathrm{OA}_{1}=\mathrm{A}_{1} \mathrm{~A}_{2}=\mathrm{A}_{2} \mathrm{~A}_{3}=\ldots=\mathrm{A}_{7} \mathrm{~A}_{8}=1$. If we continue to draw the right-angled triangles as shown in the image on the right, then among the segments $\mathrm{OA}_{1}, \mathrm{OA}_{2}, \ldots, \mathrm{OA}_{25}$, there are $\qquad$ segments with lengths that are positive integers.
<image_1>
Figure 1
<image_2>
Figure 2
|
[
"\\boxed{5}"
] |
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|
[
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"images/1026f693-a7d7-471b-ac2e-cb8d7a4afad5-1.jpg"
] | null | 1,995 |
The tangram is known as the "Eastern Magic Square" by Westerners. The two figures below are formed from the same set of tangram pieces. Given that the side length of the square formed by the tangram (as shown in Figure a) is 4, the area of the shaded part of "Smooth Sailing" (as shown in Figure b) is $\qquad$.
<image_1>
Figure $\mathrm{a}$
<image_2>
Figure b
|
[
"\\boxed{1}"
] |
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|
[
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"images/2404ba80-6a3a-4191-a831-41f81f067824-1.jpg"
] | null | 1,996 |
The Pythagorean theorem is one of the greatest scientific discoveries of humanity. It was already recorded in the ancient Chinese mathematical text "Zhoubi Suanjing," as shown in Figure (1). By extending the sides of a right triangle to form squares, and placing the two smaller squares inside the largest square as shown in Figure (2), if the sides of the right triangle are known to be $6, 8, 10$, then the area of the shaded part in Figure (2) is $\qquad$.
<image_1>
Figure (1)
<image_2>
Figure (2)
|
[
"\\boxed{24}"
] |
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|
[
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"images/e51fbee2-6f57-458d-901a-f65d1eddf5c0-1.jpg"
] | null | 1,997 |
Given that rulers A and B have different scales, and the distances between the scales on the same ruler are equal. Xiao Ming aligns the two rulers closely, and after aligning the 0 scales of both rulers, he finds that the 36 scale on ruler A aligns with the 48 scale on ruler B. If ruler A is moved to the right while maintaining close alignment with ruler B, such that the 0 scale on ruler A aligns with the m scale on ruler B, then at this point, the n scale on ruler A will align with the scale on ruler B as $\qquad$. (expressed in terms of m and n)
<image_1>
Figure 1
<image_2>
Figure 2
|
[
"\\boxed{$\\frac{4}{3} n+m$}"
] |
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|
[
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"images/1d8f346a-4bc1-4ecc-8f31-4f3b29f3ae33-1.jpg"
] | null | 1,998 |
As shown in Figure 1, a rectangular poster with the slogan "Empty Plate Campaign, Start with Me" is hung on the wall of a school cafeteria. On the left side of the poster is a depiction of a plate with a pair of chopsticks placed on it. The bottom edge of the poster is a horizontal line. Figure 2 is a schematic diagram of the poster. The point $\mathrm{A}$ on the horizontal line $l$ is directly below the center $O$ of the plate. The chopsticks intersect with the plate at points $B$ and $C$ to the lower right of $O$. The segments $B D$ and $C E$ are perpendicular to $l$ at points $D$ and $E$ respectively. Measurements show that $A D = 3 D E = 15 \mathrm{~cm}$ and $C E = \frac{3}{2} B D = 15 \mathrm{~cm}$. The radius of the plate $O$ is $\qquad$ $\mathrm{cm}$.
<image_1>
Figure 1
<image_2>
Figure 2
|
[
"\\boxed{25}"
] |
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|
[
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"images/1628443b-a64c-42e0-989d-c4f699143c2a-1.jpg"
] | null | 1,999 |
A square $\mathrm{ABCD}$ with side length 2 and a square $\mathrm{AEFG}$ with side length $2 \sqrt{2}$ are placed as shown in Figure (1), with $\mathrm{AD}$ and $\mathrm{AE}$ on the same straight line, and $\mathrm{AB}$ and $\mathrm{AG}$ on the same straight line. The square $\mathrm{ABCD}$ is rotated counterclockwise around point $\mathrm{A}$ as shown in Figure (2). The segments $\mathrm{DG}$ and $\mathrm{BE}$ intersect at point $\mathrm{H}$. The maximum value of the sum of the areas of $\triangle \mathrm{GHE}$ and $\triangle \mathrm{BHD}$ is
<image_1>
Figure (1)
<image_2>
Figure (2)
|
[
"\\boxed{6}"
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|
[
"images/fd7c4b43-e18a-4422-9e6a-3219ddc2d646-0.jpg",
"images/fd7c4b43-e18a-4422-9e6a-3219ddc2d646-1.jpg"
] | null | 2,000 |
Using 4 congruent regular octagons, adjoin them such that each pair of adjacent octagons shares a common side, and form a ring where a square is formed in the center, as shown in Figure 1. Using $n$ congruent regular hexagons in this manner, as shown in Figure 2, if a ring is formed and a regular polygon is also formed in the center, then the value of $n$ is $\qquad$
<image_1>
Figure 1
<image_2>
Figure 2
|
[
"\\boxed{6}"
] |
024bd1b6-4384-462e-9f11-a4acbe72484d
|
[
"images/024bd1b6-4384-462e-9f11-a4acbe72484d-0.jpg",
"images/024bd1b6-4384-462e-9f11-a4acbe72484d-1.jpg"
] | null | 2,001 |
As shown in Figure 1, in square \(ABCD\), points \(E\), \(F\), \(G\), and \(H\) are located on sides \(AB\), \(BC\), \(CD\), and \(DA\) respectively, with \(HA = EB = FC = GD\). Lines \(EG\) and \(FH\) intersect at point \(O\). The square \(ABCD\) is cut along segments \(EG\) and \(HF\), and the resulting four quadrilaterals are rearranged into a single quadrilateral as shown in Figure 2. If the side length of square \(ABCD\) is \(3 \, \text{cm}\) and \(HA = EB = FC = GD = 1 \, \text{cm}\), then the area of the shaded part in Figure 2 is \(\qquad\) \(\text{cm}^2\).
<image_1>
Figure 1
<image_2>
Figure 2
|
[
"\\boxed{1}"
] |
e81500a0-89f8-4266-bf6a-24fa3854512e
|
[
"images/e81500a0-89f8-4266-bf6a-24fa3854512e-0.jpg",
"images/e81500a0-89f8-4266-bf6a-24fa3854512e-1.jpg"
] | null | 2,002 |
Divide the rhombus with side length 10 in Figure 1 along its diagonals into four congruent right triangles, where one of the diagonals of the rhombus is 16. Arrange these four right triangles to form the square shown in Figure 2. Then the area of the shaded part in Figure 2 is $\qquad$.
<image_1>
Figure 1
<image_2>
Figure 2
|
[
"\\boxed{4}"
] |
10465ff5-0ebd-4ae2-995a-b46785a75f8d
|
[
"images/10465ff5-0ebd-4ae2-995a-b46785a75f8d-0.jpg",
"images/10465ff5-0ebd-4ae2-995a-b46785a75f8d-1.jpg"
] | null | 2,003 |
As shown in the figure, Figure (1) is a triangle. Connecting the midpoints of the three sides of this triangle yields the second figure (Figure (2)). Then, connecting the midpoints of the three sides of the smaller triangle in the center of Figure (2) results in the third figure (Figure (3)), and so on. According to this pattern, the $n$th figure ($n>1$) contains $\qquad$ parallelograms.
<image_1>
(1)
<image_2>
(2)
<image_3>
(3)
|
[
"\\boxed{$3 n-3$}"
] |
d0da4d1d-4bbf-418f-9788-205cf4bc4246
|
[
"images/d0da4d1d-4bbf-418f-9788-205cf4bc4246-0.jpg",
"images/d0da4d1d-4bbf-418f-9788-205cf4bc4246-1.jpg",
"images/d0da4d1d-4bbf-418f-9788-205cf4bc4246-2.jpg"
] | null | 2,004 |
As shown in Figure 1, in the rectangular paper $A B C D$, $A B=4, B C=4 \sqrt{3}$. The rectangular paper is folded along the diagonal $A C$, with point $D$ landing at point $D^{\prime}$. Line segment $B D^{\prime}$ is connected, as shown in Figure 2. Find the length of segment $B D^{\prime}$.
<image_1>
Figure 1
<image_2>
Figure 2
|
[
"\\boxed{4}"
] |
2dcf3898-4040-4201-a46f-a6f90a5d1662
|
[
"images/2dcf3898-4040-4201-a46f-a6f90a5d1662-0.jpg",
"images/2dcf3898-4040-4201-a46f-a6f90a5d1662-1.jpg"
] | null | 2,005 |
As shown in the figure, the front view and the left view of a geometric solid are both equilateral triangles with side lengths of $1 \mathrm{~cm}$, and the top view is a circle. Therefore, the lateral surface area of this geometric solid is $\qquad$ $\mathrm{cm}^{2}$.
<image_1>
Front View
<image_2>
Top View
|
[
"\\boxed{$\\frac{\\pi}{2}$}"
] |
356c411a-3c68-4a64-b6ed-de8cd7a97ba5
|
[
"images/356c411a-3c68-4a64-b6ed-de8cd7a97ba5-0.jpg",
"images/356c411a-3c68-4a64-b6ed-de8cd7a97ba5-1.jpg"
] | null | 2,006 |
As shown in the figure, the three views of a geometric object constructed from several small squares are given. Therefore, this geometric object is composed of $\qquad$ small squares.
<image_1>
Front view
<image_2>
Top view
<image_3>
Left view
|
[
"\\boxed{6}"
] |
6b265e7d-da0a-436c-82fc-3fbe99b73fa9
|
[
"images/6b265e7d-da0a-436c-82fc-3fbe99b73fa9-0.jpg",
"images/6b265e7d-da0a-436c-82fc-3fbe99b73fa9-1.jpg",
"images/6b265e7d-da0a-436c-82fc-3fbe99b73fa9-2.jpg"
] | null | 2,007 |
The front view and top view of a geometric object are shown in the figures below. If this geometric object is composed of at most $m$ small cubes and at least $n$ small cubes, then $m+n=$ $\qquad$ .
<image_1>
Front View
<image_2>
Top View
|
[
"\\boxed{16}"
] |
aad6735e-87e1-4c25-8706-d462a18b6c4b
|
[
"images/aad6735e-87e1-4c25-8706-d462a18b6c4b-0.jpg",
"images/aad6735e-87e1-4c25-8706-d462a18b6c4b-1.jpg"
] | null | 2,008 |
The three views of a geometric object are shown in the figure. It is composed of identical cubic wooden blocks, each with an edge length of $1 \mathrm{~cm}$. The surface area of the geometric object is $\qquad$ $\mathrm{cm}^{2}$.
<image_1>
Front view
<image_2>
Top view
<image_3>
Left view
|
[
"\\boxed{18}"
] |
5fe6c8b8-3d38-4d77-83a7-fc4191858b48
|
[
"images/5fe6c8b8-3d38-4d77-83a7-fc4191858b48-0.jpg",
"images/5fe6c8b8-3d38-4d77-83a7-fc4191858b48-1.jpg",
"images/5fe6c8b8-3d38-4d77-83a7-fc4191858b48-2.jpg"
] | null | 2,009 |
As shown in the figure, the top view and left view of a geometric structure formed by stacking identical small cubes are provided. The maximum number of small cubes used to construct the geometric structure is $\qquad$.
Top View
<image_1>
Left View
<image_2>
|
[
"\\boxed{7}"
] |
774542c8-9b8f-4b1c-a08c-b1f945dc4b71
|
[
"images/774542c8-9b8f-4b1c-a08c-b1f945dc4b71-0.jpg",
"images/774542c8-9b8f-4b1c-a08c-b1f945dc4b71-1.jpg"
] | null | 2,010 |
A geometric solid is composed of several identical small cubes. The shape diagrams seen from the front and from above are shown in the figures below. The maximum number of small cubes in this geometric solid is $\qquad$.
<image_1>
Seen from the front
<image_2>
Seen from above
|
[
"\\boxed{5}"
] |
013348be-868b-4d16-ad4f-d29711c509b0
|
[
"images/013348be-868b-4d16-ad4f-d29711c509b0-0.jpg",
"images/013348be-868b-4d16-ad4f-d29711c509b0-1.jpg"
] | null | 2,011 |
The following images show the front and top views of a geometric object. Calculate the volume of the geometric object. ( $\pi \approx 3.14)$
<image_1>
Front view
<image_2>
Top view
|
[
"\\boxed{$45420 \\mathrm{~cm}^{3}$.}"
] |
199df2f1-e5c3-485b-bbbe-c38c532827e9
|
[
"images/199df2f1-e5c3-485b-bbbe-c38c532827e9-0.jpg",
"images/199df2f1-e5c3-485b-bbbe-c38c532827e9-1.jpg"
] | null | 2,012 |
What is the color of the rectangular box on the boat?
choices:
A: Blue
B: Orange
C: Green
D: Yellow
|
[
"\\boxed{B}"
] |
58499bfc-3ffd-41dd-9bb4-9492fee51b43
|
[
"images/58499bfc-3ffd-41dd-9bb4-9492fee51b43-0.jpg"
] | false | 1 |
What is the material of the object on the spool?
choices:
A: Plastic
B: Metal
C: Rope
D: Fabric
|
[
"\\boxed{C}"
] |
f822b50f-9099-422a-b693-ff085a364057
|
[
"images/f822b50f-9099-422a-b693-ff085a364057-0.jpg"
] | false | 12 |
What is the material of the bucket near the person holding the gun?
choices:
A: Metal
B: Plastic
C: Wood
D: Glass
|
[
"\\boxed{A}"
] |
019afb76-9bc9-49ae-a44e-8e5688b43ff1
|
[
"images/019afb76-9bc9-49ae-a44e-8e5688b43ff1-0.jpg"
] | false | 79 |
What is the material of the side panel on the red truck?
choices:
A: Glass
B: Metal
C: Plastic
D: Wood
|
[
"\\boxed{A}"
] |
cb56e730-1895-4686-9013-607f07b41523
|
[
"images/cb56e730-1895-4686-9013-607f07b41523-0.jpg"
] | false | 90 |
What is the color of the triangular warning sign on the front of the train?
choices:
A: Red
B: Yellow
C: Blue
D: Green
|
[
"\\boxed{B}"
] |
e9746ac8-a459-434a-b5f5-c101077954c6
|
[
"images/e9746ac8-a459-434a-b5f5-c101077954c6-0.jpg"
] | false | 127 |
What is the color of the insulator on the top left of the pole?
choices:
A: Red
B: Blue
C: Green
D: Yellow
|
[
"\\boxed{A}"
] |
59169aaf-9e18-4d9d-bc5d-0824f0c4a736
|
[
"images/59169aaf-9e18-4d9d-bc5d-0824f0c4a736-0.jpg"
] | false | 131 |
What is the color of the pants worn by the person on the left?
choices:
A: Yellow
B: Blue
C: Black
D: Red
|
[
"\\boxed{A}"
] |
13f2fa38-d365-4f64-a74f-550ef2b5a20d
|
[
"images/13f2fa38-d365-4f64-a74f-550ef2b5a20d-0.jpg"
] | false | 141 |
What is the color of the footwear visible in the image?
choices:
A: White
B: Black
C: Red
D: Blue
|
[
"\\boxed{A}"
] |
2cc251bc-de74-4fae-b391-22c4e2d6b055
|
[
"images/2cc251bc-de74-4fae-b391-22c4e2d6b055-0.jpg"
] | false | 146 |
What is the color of the curtain with a wavy trim in the small region?
choices:
A: Blue
B: Red
C: Green
D: Yellow
|
[
"\\boxed{B}"
] |
683e4221-1c3a-4bf9-bf61-584b6a2b360f
|
[
"images/683e4221-1c3a-4bf9-bf61-584b6a2b360f-0.jpg"
] | false | 151 |
What is the color of the small object visible near the top of the cropped region?
choices:
A: White
B: Black
C: Red
D: Blue
|
[
"\\boxed{A}"
] |
42c4fe7e-9452-403f-9ad4-6d2304e5d0fd
|
[
"images/42c4fe7e-9452-403f-9ad4-6d2304e5d0fd-0.jpg"
] | false | 163 |
What is written on the small cooler in the image?
choices:
A: Vöslauer
B: Salzburg
C: Brezen
D: Reisinger
|
[
"\\boxed{A}"
] |
5cfd653f-aeb6-42e0-bd0d-85669953318c
|
[
"images/5cfd653f-aeb6-42e0-bd0d-85669953318c-0.jpg"
] | false | 174 |
What is the material of the bowl on the weighing scale?
choices:
A: Plastic
B: Metal
C: Glass
D: Wood
|
[
"\\boxed{B}"
] |
e34e8547-295f-48e8-acbb-8a865a6eb30e
|
[
"images/e34e8547-295f-48e8-acbb-8a865a6eb30e-0.jpg"
] | false | 180 |
What is the shape of the small windows on the stone building?
choices:
A: Circular
B: Rectangular
C: Triangular
D: Oval
|
[
"\\boxed{B}"
] |
cfe1962b-cf3c-4947-9a03-2aa113390df4
|
[
"images/cfe1962b-cf3c-4947-9a03-2aa113390df4-0.jpg"
] | false | 183 |
What is the color of the center cap on the car's front wheel?
choices:
A: Red
B: Blue
C: Black
D: Silver
|
[
"\\boxed{A}"
] |
a13eebcb-bfb2-4616-981d-0e6535a8608b
|
[
"images/a13eebcb-bfb2-4616-981d-0e6535a8608b-0.jpg"
] | false | 199 |
What is the material of the cups hanging on the cart?
choices:
A: Plastic
B: Metal
C: Glass
D: Wood
|
[
"\\boxed{B}"
] |
1c203216-fc63-424b-95c2-9dcd3797e365
|
[
"images/1c203216-fc63-424b-95c2-9dcd3797e365-0.jpg"
] | false | 211 |
What is the color of the illuminated light on the traffic signal in the cropped region?
choices:
A: Green
B: Red
C: Yellow
D: Blue
|
[
"\\boxed{B}"
] |
07a0d2f5-2918-4d88-9b38-4b44705540d6
|
[
"images/07a0d2f5-2918-4d88-9b38-4b44705540d6-0.jpg"
] | false | 220 |
What is the color of the diamond-shaped pattern with a red center and green border?
choices:
A: Blue
B: Green
C: Yellow
D: Purple
|
[
"\\boxed{B}"
] |
e3dceb30-7d77-4b5f-a50a-dbe440ad732a
|
[
"images/e3dceb30-7d77-4b5f-a50a-dbe440ad732a-0.jpg"
] | false | 242 |
What is the material of the tall structure near the road in the cropped region?
choices:
A: Wood
B: Metal
C: Stone
D: Plastic
|
[
"\\boxed{B}"
] |
d5a99cb2-f76d-4175-9bb4-0be04441111b
|
[
"images/d5a99cb2-f76d-4175-9bb4-0be04441111b-0.jpg"
] | false | 263 |
What is the color of the purple inflatable object on the dock?
choices:
A: Yellow
B: Purple
C: Blue
D: Red
|
[
"\\boxed{B}"
] |
5ce091d2-340d-43ec-8c86-2849b9b76f56
|
[
"images/5ce091d2-340d-43ec-8c86-2849b9b76f56-0.jpg"
] | false | 280 |
What is the object the figure with a feathered headdress is holding?
choices:
A: A book
B: A torch
C: A sword
D: A shield
|
[
"\\boxed{A}"
] |
f28cad82-95fe-4273-bab2-a90eee933929
|
[
"images/f28cad82-95fe-4273-bab2-a90eee933929-0.jpg"
] | false | 293 |
What is the color of the boots worn by the person holding the orange cone?
choices:
A: Blue
B: Green
C: Yellow
D: Red
|
[
"\\boxed{B}"
] |
839fcba9-d8ea-42d5-a87a-ac0136f84156
|
[
"images/839fcba9-d8ea-42d5-a87a-ac0136f84156-0.jpg"
] | false | 297 |
What is the shape of the bead above the wooden cross?
choices:
A: Round
B: Hexagonal
C: Octagonal
D: Square
|
[
"\\boxed{C}"
] |
04c9c06d-583a-49c2-a905-b5c3cb006ee6
|
[
"images/04c9c06d-583a-49c2-a905-b5c3cb006ee6-0.jpg"
] | false | 300 |
What is the color of the lion statue near the fountain?
choices:
A: Gold
B: Black
C: Silver
D: White
|
[
"\\boxed{B}"
] |
901b4312-d1ff-4754-b6a6-82bece2f4c93
|
[
"images/901b4312-d1ff-4754-b6a6-82bece2f4c93-0.jpg"
] | false | 329 |
What is the shape of the objects at the top of the fountain?
choices:
A: Lion heads
B: Eagle heads
C: Horse heads
D: Fish heads
|
[
"\\boxed{A}"
] |
6605c268-702c-4340-9c42-b57151eeeca9
|
[
"images/6605c268-702c-4340-9c42-b57151eeeca9-0.jpg"
] | false | 346 |
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