xyliu6/ursa_r1_random_10k · Datasets at HF中国镜像站

image imagewidth (px) 28 5.52k	problem stringlengths 0 5.76k	solution stringlengths 1 1.77k
	Angle B is equal to 45°. In shape ABC, how long is CB? Choices: A: 8.5 B: 9.5 C: 12.0 D: 9.0	C
	estion: Based on the image, what is the sine of the angle opposite the side that measures 21 cm?	0.6897
	Angle E span 36, Angle E totals 45, CG amounts to 19.0. What is the total boundary length of CEFG?	68.0
	Given , then θ is an angle in the (____) quadrant.	2
	What is the role of the faults indicated in the image?	Conduits for methane seeps
	Angle B measures 45°. What’s the perimeter of CBD? Choices: A: 33.42 B: 42.0 C: 44.5 D: 32.5	A
	As shown in the figure, in $$\triangle ABC$$, $$AB=AC$$, points $$D$$ and $$E$$ are on $$BC$$, connecting $$AD$$ and $$AE$$, if only one condition can be added to make $$∠DAB=∠EAC$$, the condition that cannot be added is $$($$__$$)$$ Options: (A) $$BD=CE$$ (B) $$AD=AE$$ (C) $$DA=DE$$ (D) $$BE=CD$$	C
	CE amounts to 11.0. In shape CBDE, what is the length of DE?	15.71
	How many eagles are depicted in total on both arms of the bench?	2
	In the provided diagram of triangle ABC, if the measure of angle AED is equal to the measure of angle B, and the lengths of AB, AE, and DE are given as 10, 8, and 6 respectively, what is the length of BC? Choices: A: \frac{40}{3} B: \frac{24}{5} C: \frac{15}{4} D: \frac{15}{2}	D
	ED = 11.0. Please provide the length of FE in shape ADEF.	8.0
	AB = 8.0. Can you calculate the area of the entire shape FBG? Choices: A: 27.72 B: 40.5 C: 25.5 D: 18.0	A
	DG totals 6.0, FH and GH have same length and angle H is 60°, CE and DE have same length and angle E is 60°. How can we calculate the perimeter of DEFGH? Choices: A: 27.5 B: 22.0 C: 25.5 D: 36.0	D
	What is the length of line segment IJ in the diagram? Choices: A. 12.8; B. 14.5; C. 15.5; D. 13.7	A
	In the graph of the inverse proportional function , on each curve, as x increases, y decreases. The value range of k is ___.	k > 1004
	An equilateral triangle is placed together with a semicircle as shown by the figure below. Find the perimeter of the figure. Possible Answers: 25.09 22.38 24.69 24.74	24.74
	What anatomical orientation is this image taken in?	Coronal plane
	Will these objects attract or repel each other? Choices: (A) attract (B) repel	B
	Can they all sit down and watch the movie together?	They can sit down
	What is the state directly west of the highlighted state?	California
	As shown in the figure, the quadrilateral ABCD is inscribed in circle O, if one of its exterior angle angle BCE = 65.0, then the size of angle BOD is () Choices: A: 65° B: 115° C: 130° D: 135°	C
	The two images reflect the situation of the small tree under (__) respectively. Options: (A) Sunlight, sunlight (B) Streetlamp, sunlight (C) Sunlight, streetlamp (D) Streetlamp, streetlamp	sunlight, streetlamp
	What shape is the fourth object in the sequence?	Rocket
	As shown in the figure, the histogram represents the frequency distribution of a sample from the population, and the frequency of the interval $$[15,18)$$ is $$8.$$ Find: $$(1)$$ the sample size; $$(2)$$ if the area of the small rectangle in the interval $$[12,15)$$ is $$0.06$$, find the frequency in the interval $$[12,15); $$(3)$$ the frequency of the sample in the interval $$[18,33).	50 Step 4: The area of the rectangle in the interval [12, 15) is given as 0.06. The solution equates this area directly to the frequency. Step 5: The frequency in the [12, 15) interval is calculated as 0.06 multiplied by the sample size (50), resulting in 3.
	(2013 Autumn • Hubei School-level Midterm) As shown in the diagram, AC=AD=DE=EA=BD, ∠BDC=28°, ∠ADB=42°, then ∠BEA=____; ∠CAD=____.	21°; 19°
	In the given quadrilateral ABCD diagram, where EF runs parallel to AB and the ratio of DE to EA is m:n, provided that EF equals 'p', what is the expression for the length of CD in terms of m, n, and p? Choices: A: 15 B: 10 C: 8 D: 16	A
	Which part of the respiratory system is responsible for voice production?	Larynx
	Each bracelet has 10 glass beads. How many glass beads are on 3 bracelets?	30
	Among the two concentric circles with point O as the center, the chord AB of the great circle is the tangent of the small circle, and C is the tangent point. If the radii of the two circles are 40.0 and 24.0 respectively, what is the length of the chord AB? Choices: A: 64.0 B: 48.0 C: 32.0 D: 24.0	A
	AD measures 15.0, CE and DE have same length and angle E is 60°. How would you calculate the total area of the shape ABCDE? Choices: A: 106.7 B: 102.5 C: 126.5 D: 63.0	A
	Angle G amounts to 42, AB equals to 12.0. Can you calculate the perimeter of EGH? Choices: A: 46.5 B: 56.0 C: 69.71 D: 46.5	C
	As shown in the figure, DE⊥AC with E being the foot of the perpendicular, and CE=AE. If AB=12cm and BC=10cm, then the perimeter of △BCD is (__). Options: (A) 22cm (B) 16cm (C) 23cm (D) 25cm	22cm
	The diagram below ______ is a line segment, ______ is a ray, and ______ is a line.	3, 2, 4, 1
	What color is the tail of the aircraft?	Red
	What is the area of the triangle pictured above? Possible Answers: 30 40 12 60 24	24
	Observe the molecular models shown below. Choose the elementary substance. Options: (A) ethanol (B) acetaldehyde (C) nitrogen	C
	AB is equal to 10.0. What is the overall area measurement of the shape CBDE? Choices: A: 70.5 B: 90.73 C: 106.0 D: 123.0	B
	CE amounts to 12.0. What is the measurement of the perimeter of CBDE?	54.85
	What is the area of sector ABC? Choices: A. \( \frac{24\pi}{3} \) square units; B. \( \frac{28\pi}{3} \) square units; C. \( \frac{32\pi}{3} \) square units; D. \( \frac{36\pi}{3} \) square units	C
	In the rhombus ABCD, AC = 2, BD = 5, point P is any point on diagonal AC. Through point P, draw PE ∥ AD and PF ∥ AB, intersecting AB and AD at points E and F respectively. What is the area of the shaded region in the diagram? Choices: (A) 2 (B) \(\frac{5}{2}\) (C) 5 (D) 10	B
	In a health knowledge test at a middle school in Tongren City, the scores (in whole numbers, with a full score of 100) of a sample of students were taken, and a score distribution chart was created as shown in the image. Please use the distribution chart to answer the following questions: (1) How many students were sampled in this test? (2) How many students scored in the range of 90.5 to 100.5? (3) Estimate which score range had the highest frequency in this test?	50 Step 6: The chart shows that there are 10 students in the score range of 90.5 to 100.5.
	What is the approximate value of y when the function crosses the x-axis at x=0? Choices: A. 1; B. 0; C. 3; D. -1;	D
	CE and DE have same length and angle E is 60°, GI amounts to 5.0. How do you find the perimeter of GEHIJ? Choices: A: 21.0 B: 17.5 C: 17.5 D: 34.0	D
	What imaging technique, among those listed, is most suitable for assessing both the progression under temozolomide and the detailed anatomical structure of the brain and spinal cord?	T2-weighted MRI scan (A)
	IK is 11.0, GHI is a equilateral triangle. In the shape IGJK, what is the measurement of KJ? Choices: A: 10.0 B: 6.5 C: 13.0 D: 14.5	A
	Angle F = 45°. Please provide the length of HF in shape GFH. Choices: A: 12.0 B: 16.5 C: 8.5 D: 14.0	A
	According to the graph, what are the coordinates of the maximum value within the specified range? Choices: A. (1.58, -2.62); B. (0.42, -3.38); C. (-0.67, 2); D. (-1, -3);	A. (1.58, -2.62)
	In the provided diagram, let's denote the measured length of BD as variable z. If DC = 60.0 and EC = 50.0, what is the value of z? Choices: A: 117.0 B: 104.0 C: 120.0 D: 118.0	C
	FH is equal to 12.0. How much area does the shape FEGH cover?	80.73
	AB totals 9.0. What is the length of FE in shape DEFG? Choices: A: 9.0 B: 10.0 C: 13.0 D: 5.5	A
	HIJ is a equilateral triangle, AB equals to 9.0. What’s the area of the entire shape GFHIJ?	98.05
	AB amounts to 11.0. In shape IHJK, what is the length of JH? Choices: A: 11.0 B: 16.0 C: 8.5 D: 9.5	A
	In triangle ABC, consider the variable u to represent the length AD, AB = 15.0, and DE = 4.0. If DE is parallel to BC and BC = 12.0, what is the value of u? Choices: A: 2.0 B: 20.0 C: 24.0 D: 5.0	D
	The following math problem involves a comparison of cars' fuel efficiency, with the placeholder indicating the inclusion of a relevant diagram. The "fuel efficiency" of a car is defined as the distance traveled per 1 liter of gasoline consumed. The image depicts the fuel efficiencies of three cars, A, B, and C, at different speeds. Which of the following statements is correct? Options: (A) Car B can travel up to 5 kilometers per 1 liter of gasoline consumed. (B) Given the same speed and distance, Car A consumes the most gasoline among the three cars. (C) Car A, traveling at a speed of 80 kilometers per hour for 1 hour, consumes 10 liters of gasoline. (D) In a city where the maximum speed limit for motor vehicles is 80 kilometers per hour, under the same conditions, using Car C is more fuel-efficient than using Car B.	D
	Based on the image, how would you describe the relationship between the angles opposite side A and side B? Choices: A. Complementary B. Supplementary C. Equal D. Not related	A
	Xiaoming measured the circumference of a round table at home and found it to be 6.28 meters. What is the area of this round table's surface in square meters?	3.14
	When is the due date (outline)?	February 25, 2002
	As shown in the figure, in rectangle ABCD, draw an arbitrary line through the centroid O that intersects the sides at points E and F. Prove that the line EF divides the rectangle into two regions of equal area. Does the line EF also divide the perimeter of the rectangle into two equal parts? Why or why not?	Yes, the line EF not only divides the rectangle into two equal areas but also divides the perimeter equally.
	There is a parabolic archway. The maximum height of the arch above the water surface is \( 4 \, \text{m} \), and the span is \( 10 \, \text{m} \). Place the cross-sectional edge of the shape in the right-angle coordinate system as shown in the figure. \((1)\) Find the equation of the parabola; \((2)\) As shown in the figure, what is the height of the arch above the water surface at \( 1 \, \text{m} \) to the right of the axis of symmetry?	3.84
	Use the following Venn Diagram to answer the question. What hobbies to both Andy and Mary enjoy? Possible Answers: \text{sleeping and traveling} \text{eating and singing} \text{sleeping, reading, and cooking} \text{eating and watching movies} \text{watching movies, traveling, and playing piano}	eating and singing
	In the context of circle O where points P, A, and B define the situation, with PA and PB functioning as tangents, and angle P measuring 70°, what is the measurement of angle ACB? Choices: A: 110° B: 120° C: 125° D: 130°	C
	What is the volumeof the rectangular prismin the following figure? Possible Answers: 30\textup{ cm}^3 34.5\textup{ cm}^3 31\textup{ cm}^3 37.5\textup{ cm}^3 33\textup{ cm}^3	37.5 cm³
	A sealed glass tank has a storage space that is 6 decimeters long, 2 decimeters wide, and 4 decimeters high. Currently, the depth of the water in the tank is 3 decimeters. If the tank is turned upright (as shown in the figure), what will be the depth of the water in decimeters?	4.5
	Are lines AB and CD parallel? Possible Answers: No Yes	No
	Based on the image, what kind of solution does the problem seek? Choices: A. Numerical B. Theoretical C. Qualitative D. Graphical	A
	If the circumference of circle O is 40 units, what is the measure of angle BAC?	45 degrees
	What are the key components visible in the image that indicate the train is powered by electricity, and how do they function together to power the train?	Overhead wires, pantograph, traction motors, substations
	What is the predominant color used in the logo at the top left corner of the board?	Blue
	(Spring 2015, Final Exam of Juancheng County) As shown in the figure, ∠A = 29°, ∠C′ = 62°, △ABC and △A′B′C′ are symmetric about the line l. Then ∠B = ____.	89
	As shown in the picture is the temperature variation chart of a certain day in Beijing. According to the chart, the incorrect statement among the following is (___) Options: (A) The highest temperature of the day is 24℃ (B) The difference between the highest and lowest temperature of the day is 16℃ (C) The temperature gradually increases between 2 AM and 2 PM (D) The temperature only gradually decreases between 2 PM and 12 AM	D
	如图，⊙O是一个三角形的外接圆，AB是⊙O的直径，∠BAD=50°，则∠C的度数是() 选项： (A) 30° (B) 40° (C) 50° (D) 60°	B
	In the given diagram, lines AB and CD are parallel, and line EG bisects angle BEF, intersecting CD at point G. If angle EFC measures x degrees, what is the measure of angle EGF in terms of x? Choices: A: 36° B: 41° C: 46° D: 51°	B
	AB amounts to 12.0, Angle E is equal to 60°. In the isosceles triangle DEF, what are the measurements of angle D and angle F?	12.0
	This is a rectangle made up of ____ small squares. The length of this rectangle is ____ decimeters, and the width is ____ centimeters.	10 squares
	AB equals to 11.0. What’s the area of the entire shape ABCD? Choices: A: 21.5 B: 28.5 C: 40.48 D: 60.0	C
	EG totals 10.0, CDE is a equilateral triangle. What is the area of the entire shape ECFG?	63.45
	What is the average value of Cornflower over the range 0 to 100?	38.18
	Based on the image, can you identify the interval describing where the logarithmic function is defined? Choices: A. (-infinity, -3] B. [-3, 3) C. (-3, infinity) D. (-infinity, 0)	C
	Typing. (1) How many words can Xiao Ming type in 5 minutes? (2) A manuscript has a total of 325 words. How many words are left to type after 5 minutes? (3) If Xiao Ming types for 3 more minutes, can he finish typing the manuscript?	(1) 205 words, (2) 120 words, (3) Can finish
	【Problem】As shown in the figure, if the perimeter of △ACD is 7 cm, and DE is the perpendicular bisector of side AB, then AC + BC = ______ cm.	7
	In the given diagram, circle O has diameter AB, with point C lying on the circle. A tangent passing through C intersects the extended line of AB at E, and point D lies on AC but does not coincide with points A and C. If angle D measures 110°, what is the degree measure of angle AEC? Choices: A: 55° B: 50° C: 45° D: 40°	B
	AB span 10.0, Angle E is 48. What is the entire perimeter length of EBF? Choices: A: 39.5 B: 21.0 C: 24.0 D: 36.0	D
	Based on the image, which mathematical concept is demonstrated by the colored pattern? Choices: A. Probability B. Permutation C. Combination D. Geometry	D
	Is there any foliage visible in the image?	Yes
	Which state has the longest border with Canada?	Alaska
	As illustrated in , an ant crawls from point A on the bottom surface of a cube to point B on the top surface. The shortest path it can take is [____ ] A. A→P→B B. A→Q→B C. A→R→B D. A→S→B Options:	A→P→B
	To understand the training situation for the midterm physical education subject, a school randomly selected some ninth-grade students to conduct a midterm physical education test (with the test results divided into four grades: A, B, C, D), and plotted the test results into two incomplete statistical charts as shown in the figures. Based on the information provided in the statistical charts, the incorrect conclusion is (____). Options: (A) The number of students in this sample test is 40. (B) In Figure 1, the degree of angle α is 126°. (C) There are 500 students in the ninth grade of the school, and it is estimated that the number of students with a grade of D is 80. (D) If a student is randomly selected from the tested students, the probability that this student's grade is A is 0.2.	C
	In the following figure, the shortest of the three line segments a, b, and c is ____. The length of this line segment is called the distance from point A to line L.	c
	AB is 9.0. Could you specify the length of HG in shape FEGH? Choices: A: 9.0 B: 6.5 C: 9.0 D: 5.5	A
	What is the cost of adding cheese to a hotdog?	£0.50
	If you pick a marble without looking, how likely is it that you will get a black one? Choices: (A) impossible (B) certain (C) unlikely (D) probable	A
	AD is equal to 15.0. Please provide the length of CD in shape ABCD.	17.28
	If the measure of arc BD is 50 degrees, what is the measure of angle BAD?	90 degrees
	Is the accuracy of the algorithm match in one dataset less than the accuracy of the algorithm sex in another dataset?	no
	As shown in the figure, a rectangular piece of paper is folded along EF such that point D and point C fall onto positions D' and C' respectively. Given that ∠EFB = 65°, find the measures of ∠AED′ and ∠BFC′.	50°, 50°
	AB span 11.0. What is the area of the entire shape ABCD?	143.0
	FH = 14.0. In shape FEGH, what is the length of GH?	18.85
	AD span 6.0. What is the area of the entire shape ABCD?	73.13
	AB measures 10.0. What is the measurement of arc AC in the sector ABC? Choices: A: 21.5 B: 15.71 C: 10.5 D: 12.5	B
	The entire teaching staff of Grade 7 at our school is planning to hold a mid-term work summary meeting on November 20. In the office, several long tables were arranged. When each long table is placed individually, it can accommodate 6 people (as shown in Figure 1, where each small semicircle represents a person's position). When two long tables are placed side by side, they can accommodate 10 people (as shown in Figure 2). If 10 long tables are arranged in this manner (as shown in Figure 3), the number of people they can accommodate simultaneously is ______.	42

Angle B is equal to 45°. In shape ABC, how long is CB? Choices: A: 8.5 B: 9.5 C: 12.0 D: 9.0

C

estion: Based on the image, what is the sine of the angle opposite the side that measures 21 cm?

0.6897

Angle E span 36, Angle E totals 45, CG amounts to 19.0. What is the total boundary length of CEFG?

68.0

Given , then θ is an angle in the (____) quadrant.

2

What is the role of the faults indicated in the image?

Conduits for methane seeps

Angle B measures 45°. What’s the perimeter of CBD? Choices: A: 33.42 B: 42.0 C: 44.5 D: 32.5

A

As shown in the figure, in $$\triangle ABC$$, $$AB=AC$$, points $$D$$ and $$E$$ are on $$BC$$, connecting $$AD$$ and $$AE$$, if only one condition can be added to make $$∠DAB=∠EAC$$, the condition that cannot be added is $$($$__$$)$$ Options: (A) $$BD=CE$$ (B) $$AD=AE$$ (C) $$DA=DE$$ (D) $$BE=CD$$

C

CE amounts to 11.0. In shape CBDE, what is the length of DE?

15.71

How many eagles are depicted in total on both arms of the bench?

2

In the provided diagram of triangle ABC, if the measure of angle AED is equal to the measure of angle B, and the lengths of AB, AE, and DE are given as 10, 8, and 6 respectively, what is the length of BC? Choices: A: \frac{40}{3} B: \frac{24}{5} C: \frac{15}{4} D: \frac{15}{2}

D

ED = 11.0. Please provide the length of FE in shape ADEF.

8.0

AB = 8.0. Can you calculate the area of the entire shape FBG? Choices: A: 27.72 B: 40.5 C: 25.5 D: 18.0

A

DG totals 6.0, FH and GH have same length and angle H is 60°, CE and DE have same length and angle E is 60°. How can we calculate the perimeter of DEFGH? Choices: A: 27.5 B: 22.0 C: 25.5 D: 36.0

D

What is the length of line segment IJ in the diagram? Choices: A. 12.8; B. 14.5; C. 15.5; D. 13.7

A

In the graph of the inverse proportional function , on each curve, as x increases, y decreases. The value range of k is ___.

k > 1004

An equilateral triangle is placed together with a semicircle as shown by the figure below. Find the perimeter of the figure. Possible Answers: 25.09 22.38 24.69 24.74

24.74

What anatomical orientation is this image taken in?

Coronal plane

Will these objects attract or repel each other? Choices: (A) attract (B) repel

B

Can they all sit down and watch the movie together?

They can sit down

What is the state directly west of the highlighted state?

California

As shown in the figure, the quadrilateral ABCD is inscribed in circle O, if one of its exterior angle angle BCE = 65.0, then the size of angle BOD is () Choices: A: 65° B: 115° C: 130° D: 135°

C

The two images reflect the situation of the small tree under (__) respectively. Options: (A) Sunlight, sunlight (B) Streetlamp, sunlight (C) Sunlight, streetlamp (D) Streetlamp, streetlamp

sunlight, streetlamp

What shape is the fourth object in the sequence?

Rocket

As shown in the figure, the histogram represents the frequency distribution of a sample from the population, and the frequency of the interval $$[15,18)$$ is $$8.$$ Find: $$(1)$$ the sample size; $$(2)$$ if the area of the small rectangle in the interval $$[12,15)$$ is $$0.06$$, find the frequency in the interval $$[12,15); $$(3)$$ the frequency of the sample in the interval $$[18,33).

50 Step 4: The area of the rectangle in the interval [12, 15) is given as 0.06. The solution equates this area directly to the frequency. Step 5: The frequency in the [12, 15) interval is calculated as 0.06 multiplied by the sample size (50), resulting in 3.

(2013 Autumn • Hubei School-level Midterm) As shown in the diagram, AC=AD=DE=EA=BD, ∠BDC=28°, ∠ADB=42°, then ∠BEA=____; ∠CAD=____.

21°; 19°

In the given quadrilateral ABCD diagram, where EF runs parallel to AB and the ratio of DE to EA is m:n, provided that EF equals 'p', what is the expression for the length of CD in terms of m, n, and p? Choices: A: 15 B: 10 C: 8 D: 16

A

Which part of the respiratory system is responsible for voice production?

Larynx

Each bracelet has 10 glass beads. How many glass beads are on 3 bracelets?

30

Among the two concentric circles with point O as the center, the chord AB of the great circle is the tangent of the small circle, and C is the tangent point. If the radii of the two circles are 40.0 and 24.0 respectively, what is the length of the chord AB? Choices: A: 64.0 B: 48.0 C: 32.0 D: 24.0

A

AD measures 15.0, CE and DE have same length and angle E is 60°. How would you calculate the total area of the shape ABCDE? Choices: A: 106.7 B: 102.5 C: 126.5 D: 63.0

A

Angle G amounts to 42, AB equals to 12.0. Can you calculate the perimeter of EGH? Choices: A: 46.5 B: 56.0 C: 69.71 D: 46.5

C

As shown in the figure, DE⊥AC with E being the foot of the perpendicular, and CE=AE. If AB=12cm and BC=10cm, then the perimeter of △BCD is (__). Options: (A) 22cm (B) 16cm (C) 23cm (D) 25cm

22cm

The diagram below ______ is a line segment, ______ is a ray, and ______ is a line.

3, 2, 4, 1

What color is the tail of the aircraft?

Red

What is the area of the triangle pictured above? Possible Answers: 30 40 12 60 24

24

Observe the molecular models shown below. Choose the elementary substance. Options: (A) ethanol (B) acetaldehyde (C) nitrogen

C

AB is equal to 10.0. What is the overall area measurement of the shape CBDE? Choices: A: 70.5 B: 90.73 C: 106.0 D: 123.0

B

CE amounts to 12.0. What is the measurement of the perimeter of CBDE?

54.85

What is the area of sector ABC? Choices: A. $ \frac{24\pi}{3} $ square units; B. $ \frac{28\pi}{3} $ square units; C. $ \frac{32\pi}{3} $ square units; D. $ \frac{36\pi}{3} $ square units

C

In the rhombus ABCD, AC = 2, BD = 5, point P is any point on diagonal AC. Through point P, draw PE ∥ AD and PF ∥ AB, intersecting AB and AD at points E and F respectively. What is the area of the shaded region in the diagram? Choices: (A) 2 (B) $\frac{5}{2}$ (C) 5 (D) 10

B

In a health knowledge test at a middle school in Tongren City, the scores (in whole numbers, with a full score of 100) of a sample of students were taken, and a score distribution chart was created as shown in the image. Please use the distribution chart to answer the following questions: (1) How many students were sampled in this test? (2) How many students scored in the range of 90.5 to 100.5? (3) Estimate which score range had the highest frequency in this test?

50 Step 6: The chart shows that there are 10 students in the score range of 90.5 to 100.5.

What is the approximate value of y when the function crosses the x-axis at x=0? Choices: A. 1; B. 0; C. 3; D. -1;

D

CE and DE have same length and angle E is 60°, GI amounts to 5.0. How do you find the perimeter of GEHIJ? Choices: A: 21.0 B: 17.5 C: 17.5 D: 34.0

D

What imaging technique, among those listed, is most suitable for assessing both the progression under temozolomide and the detailed anatomical structure of the brain and spinal cord?

T2-weighted MRI scan (A)

IK is 11.0, GHI is a equilateral triangle. In the shape IGJK, what is the measurement of KJ? Choices: A: 10.0 B: 6.5 C: 13.0 D: 14.5

A

Angle F = 45°. Please provide the length of HF in shape GFH. Choices: A: 12.0 B: 16.5 C: 8.5 D: 14.0

A

According to the graph, what are the coordinates of the maximum value within the specified range? Choices: A. (1.58, -2.62); B. (0.42, -3.38); C. (-0.67, 2); D. (-1, -3);

A. (1.58, -2.62)

In the provided diagram, let's denote the measured length of BD as variable z. If DC = 60.0 and EC = 50.0, what is the value of z? Choices: A: 117.0 B: 104.0 C: 120.0 D: 118.0

C

FH is equal to 12.0. How much area does the shape FEGH cover?

80.73

AB totals 9.0. What is the length of FE in shape DEFG? Choices: A: 9.0 B: 10.0 C: 13.0 D: 5.5

A

HIJ is a equilateral triangle, AB equals to 9.0. What’s the area of the entire shape GFHIJ?

98.05

AB amounts to 11.0. In shape IHJK, what is the length of JH? Choices: A: 11.0 B: 16.0 C: 8.5 D: 9.5

A

In triangle ABC, consider the variable u to represent the length AD, AB = 15.0, and DE = 4.0. If DE is parallel to BC and BC = 12.0, what is the value of u? Choices: A: 2.0 B: 20.0 C: 24.0 D: 5.0

D

The following math problem involves a comparison of cars' fuel efficiency, with the placeholder indicating the inclusion of a relevant diagram. The "fuel efficiency" of a car is defined as the distance traveled per 1 liter of gasoline consumed. The image depicts the fuel efficiencies of three cars, A, B, and C, at different speeds. Which of the following statements is correct? Options: (A) Car B can travel up to 5 kilometers per 1 liter of gasoline consumed. (B) Given the same speed and distance, Car A consumes the most gasoline among the three cars. (C) Car A, traveling at a speed of 80 kilometers per hour for 1 hour, consumes 10 liters of gasoline. (D) In a city where the maximum speed limit for motor vehicles is 80 kilometers per hour, under the same conditions, using Car C is more fuel-efficient than using Car B.

D

Based on the image, how would you describe the relationship between the angles opposite side A and side B? Choices: A. Complementary B. Supplementary C. Equal D. Not related

A

Xiaoming measured the circumference of a round table at home and found it to be 6.28 meters. What is the area of this round table's surface in square meters?

3.14

When is the due date (outline)?

February 25, 2002

As shown in the figure, in rectangle ABCD, draw an arbitrary line through the centroid O that intersects the sides at points E and F. Prove that the line EF divides the rectangle into two regions of equal area. Does the line EF also divide the perimeter of the rectangle into two equal parts? Why or why not?

Yes, the line EF not only divides the rectangle into two equal areas but also divides the perimeter equally.

There is a parabolic archway. The maximum height of the arch above the water surface is $ 4 \, \text{m} $, and the span is $ 10 \, \text{m} $. Place the cross-sectional edge of the shape in the right-angle coordinate system as shown in the figure. $(1)$ Find the equation of the parabola; $(2)$ As shown in the figure, what is the height of the arch above the water surface at $ 1 \, \text{m} $ to the right of the axis of symmetry?

3.84

Use the following Venn Diagram to answer the question. What hobbies to both Andy and Mary enjoy? Possible Answers: \text{sleeping and traveling} \text{eating and singing} \text{sleeping, reading, and cooking} \text{eating and watching movies} \text{watching movies, traveling, and playing piano}

eating and singing

In the context of circle O where points P, A, and B define the situation, with PA and PB functioning as tangents, and angle P measuring 70°, what is the measurement of angle ACB? Choices: A: 110° B: 120° C: 125° D: 130°

C

What is the volumeof the rectangular prismin the following figure? Possible Answers: 30\textup{ cm}^3 34.5\textup{ cm}^3 31\textup{ cm}^3 37.5\textup{ cm}^3 33\textup{ cm}^3

37.5 cm³

A sealed glass tank has a storage space that is 6 decimeters long, 2 decimeters wide, and 4 decimeters high. Currently, the depth of the water in the tank is 3 decimeters. If the tank is turned upright (as shown in the figure), what will be the depth of the water in decimeters?

4.5

Are lines AB and CD parallel? Possible Answers: No Yes

No

Based on the image, what kind of solution does the problem seek? Choices: A. Numerical B. Theoretical C. Qualitative D. Graphical

A

If the circumference of circle O is 40 units, what is the measure of angle BAC?

45 degrees

What are the key components visible in the image that indicate the train is powered by electricity, and how do they function together to power the train?

Overhead wires, pantograph, traction motors, substations

What is the predominant color used in the logo at the top left corner of the board?

Blue

(Spring 2015, Final Exam of Juancheng County) As shown in the figure, ∠A = 29°, ∠C′ = 62°, △ABC and △A′B′C′ are symmetric about the line l. Then ∠B = ____.

89

As shown in the picture is the temperature variation chart of a certain day in Beijing. According to the chart, the incorrect statement among the following is (___) Options: (A) The highest temperature of the day is 24℃ (B) The difference between the highest and lowest temperature of the day is 16℃ (C) The temperature gradually increases between 2 AM and 2 PM (D) The temperature only gradually decreases between 2 PM and 12 AM

D

如图，⊙O是一个三角形的外接圆，AB是⊙O的直径，∠BAD=50°，则∠C的度数是() 选项： (A) 30° (B) 40° (C) 50° (D) 60°

B

In the given diagram, lines AB and CD are parallel, and line EG bisects angle BEF, intersecting CD at point G. If angle EFC measures x degrees, what is the measure of angle EGF in terms of x? Choices: A: 36° B: 41° C: 46° D: 51°

B

AB amounts to 12.0, Angle E is equal to 60°. In the isosceles triangle DEF, what are the measurements of angle D and angle F?

12.0

This is a rectangle made up of ____ small squares. The length of this rectangle is ____ decimeters, and the width is ____ centimeters.

10 squares

AB equals to 11.0. What’s the area of the entire shape ABCD? Choices: A: 21.5 B: 28.5 C: 40.48 D: 60.0

C

EG totals 10.0, CDE is a equilateral triangle. What is the area of the entire shape ECFG?

63.45

What is the average value of Cornflower over the range 0 to 100?

38.18

Based on the image, can you identify the interval describing where the logarithmic function is defined? Choices: A. (-infinity, -3] B. [-3, 3) C. (-3, infinity) D. (-infinity, 0)

C

Typing. (1) How many words can Xiao Ming type in 5 minutes? (2) A manuscript has a total of 325 words. How many words are left to type after 5 minutes? (3) If Xiao Ming types for 3 more minutes, can he finish typing the manuscript?

(1) 205 words, (2) 120 words, (3) Can finish

【Problem】As shown in the figure, if the perimeter of △ACD is 7 cm, and DE is the perpendicular bisector of side AB, then AC + BC = ______ cm.

7

In the given diagram, circle O has diameter AB, with point C lying on the circle. A tangent passing through C intersects the extended line of AB at E, and point D lies on AC but does not coincide with points A and C. If angle D measures 110°, what is the degree measure of angle AEC? Choices: A: 55° B: 50° C: 45° D: 40°

B

AB span 10.0, Angle E is 48. What is the entire perimeter length of EBF? Choices: A: 39.5 B: 21.0 C: 24.0 D: 36.0

D

Based on the image, which mathematical concept is demonstrated by the colored pattern? Choices: A. Probability B. Permutation C. Combination D. Geometry

D

Is there any foliage visible in the image?

Yes

Which state has the longest border with Canada?

Alaska

As illustrated in , an ant crawls from point A on the bottom surface of a cube to point B on the top surface. The shortest path it can take is [____ ] A. A→P→B B. A→Q→B C. A→R→B D. A→S→B Options:

A→P→B

To understand the training situation for the midterm physical education subject, a school randomly selected some ninth-grade students to conduct a midterm physical education test (with the test results divided into four grades: A, B, C, D), and plotted the test results into two incomplete statistical charts as shown in the figures. Based on the information provided in the statistical charts, the incorrect conclusion is (____). Options: (A) The number of students in this sample test is 40. (B) In Figure 1, the degree of angle α is 126°. (C) There are 500 students in the ninth grade of the school, and it is estimated that the number of students with a grade of D is 80. (D) If a student is randomly selected from the tested students, the probability that this student's grade is A is 0.2.

C

In the following figure, the shortest of the three line segments a, b, and c is ____. The length of this line segment is called the distance from point A to line L.

c

AB is 9.0. Could you specify the length of HG in shape FEGH? Choices: A: 9.0 B: 6.5 C: 9.0 D: 5.5

A

What is the cost of adding cheese to a hotdog?

£0.50

If you pick a marble without looking, how likely is it that you will get a black one? Choices: (A) impossible (B) certain (C) unlikely (D) probable

A

AD is equal to 15.0. Please provide the length of CD in shape ABCD.

17.28

If the measure of arc BD is 50 degrees, what is the measure of angle BAD?

90 degrees

Is the accuracy of the algorithm match in one dataset less than the accuracy of the algorithm sex in another dataset?

no

As shown in the figure, a rectangular piece of paper is folded along EF such that point D and point C fall onto positions D' and C' respectively. Given that ∠EFB = 65°, find the measures of ∠AED′ and ∠BFC′.

50°, 50°

AB span 11.0. What is the area of the entire shape ABCD?

143.0

FH = 14.0. In shape FEGH, what is the length of GH?

18.85

AD span 6.0. What is the area of the entire shape ABCD?

73.13

AB measures 10.0. What is the measurement of arc AC in the sector ABC? Choices: A: 21.5 B: 15.71 C: 10.5 D: 12.5

B

The entire teaching staff of Grade 7 at our school is planning to hold a mid-term work summary meeting on November 20. In the office, several long tables were arranged. When each long table is placed individually, it can accommodate 6 people (as shown in Figure 1, where each small semicircle represents a person's position). When two long tables are placed side by side, they can accommodate 10 people (as shown in Figure 2). If 10 long tables are arranged in this manner (as shown in Figure 3), the number of people they can accommodate simultaneously is ______.

42