answer stringlengths 1 159 | category stringclasses 8
values | qid stringlengths 6 80 | images images listlengths 1 8 | problem stringlengths 14 1.97k | id int64 0 38.9k |
|---|---|---|---|---|---|
Solid | Spatial Reasoning | Processed-6f0212ed-4595-4c44-aa35-4c75af5efb51 | <image>
Are the objects solid or hollow? | 100 | |
2:1 | Spatial Reasoning | Processed-b1a1b7cd-aeb4-469f-b134-250359c2f8fe | <image>
What is the ratio of the length of the scissors to the length of the tape dispenser? | 101 | |
Rocket | Spatial Reasoning | Processed-ba83d2d1-249e-4470-a0e5-d09be49c0c28 | <image>
What type of object is directly in the middle of the sequence? | 102 | |
4 | Tables/Diagrams/Charts | Processed-9944703d-2a18-49b2-9de6-cab9b34896a9 | <image>
How many colors are present in the image? | 103 | |
Yes | Spatial Reasoning | Processed-63f30ce6-45aa-4c5f-a73c-b439cb60e575 | <image>
If one more knife is added, will there be an equal number of knives and plates? | 104 | |
4 | Spatial Reasoning | Processed-a47c94a7-7130-4ff6-959e-aaa7712ddba6 | <image>
What is the total number of squares present in the second row? | 105 | |
5 | Spatial Reasoning | Processed-30870387-97f7-4ae8-8702-9d3edef62aea | <image>
How many squares tall is the letter 'G' in the grid? | 106 | |
0 | Spatial Reasoning | Processed-15bf6b87-fd7e-442a-9455-3c864b9377ef | <image>
How many shapes are neither green nor triangles? | 107 | |
7 | (GradeSchool) Geometric | Processed-e9e4f827-4484-413e-80e8-2a6019868de6 | <image>
What is the total number of shapes in the image? | 108 | |
1 | (GradeSchool) Geometric | Processed-974f5eec-3d3b-44fe-aad0-5f92668dff72 | <image>
How many lines of symmetry does the object in the image have? | 109 | |
29 | Spatial Reasoning | Processed-f9f79b4f-91c2-4da7-add8-cb4b4679fffa | <image>
What is the sum of the positions of all the barns in the sequence? | 110 | |
3 | Spatial Reasoning | Processed-91df4598-357b-425a-8096-a7947f80a88c | <image>
How many purple shapes are not squares? | 111 | |
8 | Spatial Reasoning | Processed-8a0e63fc-e6f5-4784-a149-a108b484485c | <image>
What is the total number of heart shapes plus the number of corners in the image? | 112 | |
3 | Spatial Reasoning | Processed-fe92a615-c4d6-4125-af0d-e2d2626e3d70 | <image>
How many orange shapes are not squares? | 113 | |
5 | Spatial Reasoning | Processed-4bf67656-608c-48b2-94e3-37f1d7a6dd2c | <image>
What is the sum of the positions of the sun and the second barn? | 114 | |
15 | (GradeSchool) Non-Geo Math | Processed-da5053dc-ce1e-408f-83dd-434a9aa852d7 | <image>
If you have 5 crayons of the same length, how many cubes long would they be in total? | 115 | |
20 | (GradeSchool) Geometric | Processed-822205b7-598e-4bc9-9b43-0ecc9f4b7474 | <image>
How many triangles are there of each color, and what is the total number of triangles? | 116 | |
70 | (GradeSchool) Non-Geo Math | Processed-6b504c20-2e61-46f1-a97a-30b3c9b77774 | <image>
How many rows and columns of dots are there, and what is the total number of dots if each row has one more dot than the previous row, starting from the first row which has 7 dots? | 117 | |
75 | (GradeSchool) Non-Geo Math | Processed-d8f2e02b-5b0d-49d0-a680-90395bd7283b | <image>
What is the probability of the spinner landing on green, and how many times would you expect it to land on green if you spin it 100 times? | 118 | |
6 | Spatial Reasoning | Processed-3a58b317-d51a-46fe-8541-222ed04242cc | <image>
What is the total number of buckets and crabs combined in the sequence? | 119 | |
Joy | (GradeSchool) Non-Geo Math | Processed-f5b56e92-0966-4e90-ad67-4f55485b23be | <image>
Calculate the total time each friend spent on homework if Ryan spent 1 hour, Joy spent 2 hours, and Ben spent 1.5 hours. Who spent the most time on homework? | 120 | |
6 | Spatial Reasoning | Processed-c7ed3525-f4f0-4268-aa2f-1a8271580b8c | <image>
What is the total number of tractors and barns in the sequence? | 121 | |
6 | (GradeSchool) Geometric | Processed-65b820c8-f8ec-4d5d-a77c-de12a9259e8f | <image>
How many lines of symmetry does this picture have? | 122 | |
4 | Spatial Reasoning | Processed-328f6d6a-c2d0-4041-b3e7-6a081c5a0057 | <image>
What is the position of the second turtle after the first sub? | 123 | |
41 | Tables/Diagrams/Charts | Processed-06e65013-9d1c-4536-acb2-8f03b1ec309a | <image>
How many flowers are there in each row, and what is the total number of flowers? | 124 | |
5 | Spatial Reasoning | Processed-221f66d6-eb68-4aae-a784-957a39e280af | <image>
What is the position of the second bucket in the sequence? | 125 | |
10 | (GradeSchool) Geometric | Processed-b18cf7a1-7207-417f-8d96-47ffd927951d | <image>
If each unit square has a side length of 1 unit, what is the perimeter of the shape? | 126 | |
27 | (GradeSchool) Non-Geo Math | Processed-9f7a72ca-bee8-419f-b8d5-7c65deeb4ac4 | <image>
What is the sum of the positions of all the stars in the sequence? | 127 | |
no | (GradeSchool) Non-Geo Math | Processed-cb68ba4e-85be-477f-b03f-47b7d4ecbdcc | <image>
If each sleeping bag requires 1 pillow and 1 blanket, and there are 2 blankets available, are there enough pillows and blankets for every sleeping bag? | 128 | |
4 | Tables/Diagrams/Charts | Processed-2ddff6be-da43-4955-934f-b3e13cdeb929 | <image>
How many rows contain an even number of dots? | 129 | |
9 | (GradeSchool) Geometric | Processed-05487e9d-89c1-4aed-9a8b-7fd949c86bf5 | <image>
how many squares are there if you include all possible squares formed by combining smaller squares? | 130 | |
7 | Spatial Reasoning | Processed-8013be0e-0f2f-4e39-aec9-a41f58657a09 | <image>
What is the total number of boats and buckets in the sequence? | 131 | |
7 | (GradeSchool) Non-Geo Math | Processed-ad606d09-8b1a-47ab-b464-b45c3dcc241e | <image>
If you add 2 more dots to the frame to make it full, and then remove 3 dots, how many dots will be left on the frame? | 132 | |
1 | (GradeSchool) Geometric | Processed-5275d7ec-ed62-4e08-9550-214e01882830 | <image>
How many lines of symmetry does the hat have, including the dotted line? | 133 | |
8 | Tables/Diagrams/Charts | Processed-938dcb22-b845-4034-8002-7394a4d443c5 | <image>
How many more circles are in the top row than in the bottom row? | 134 | |
53 | Tables/Diagrams/Charts | Processed-f9f6c3bd-d0db-42c0-ad70-a816044919c1 | <image>
What is the total number of flowers? | 135 | |
2 | Spatial Reasoning | Processed-80990863-dfdb-40ed-aa6e-6b35d1adfb89 | <image>
What is the height of the flower in terms of the number of cubes? | 136 | |
B | Spatial Reasoning | Processed-90e7314c-69ad-463f-95b0-1cbd79fdc857 | <image>
Which picture is the fourth one if the first picture is a tractor, and the choices are sun, tractor, and barn?
Choices:
(A) sun
(B) tractor
(C) barn | 137 | |
B | Spatial Reasoning | Processed-bbe107c1-ef36-4206-b852-219a3851434f | <image>
Which picture is the fourth in the sequence, following the boat as the first picture? Is it the bucket or the crab?
Choices:
(A) boat
(B) bucket
(C) crab | 138 | |
2 | Spatial Reasoning | Processed-a90364a5-82bb-4a23-89cf-39c6f8d207ce | <image>
What is the height of the plant in terms of the number of cubes? | 139 | |
D | (GradeSchool) Geometric | Processed-d66c9ece-f504-4452-a509-4f5892540f3b | <image>
What is the fraction of the shape that is colored pink? Is it 1/2, 1/4, 1/5, or 1/3?
Choices:
(A) 1/2
(B) 1/4
(C) 1/5
(D) 1/3 | 140 | |
E | Spatial Reasoning | Processed-4fcada7f-d14a-4286-8676-fc54ac982a2a | <image>
What is the total number of hearts?
Choices:
(A) 8
(B) 7
(C) 2
(D) 5
(E) 6 | 141 | |
C | Spatial Reasoning | Processed-593778c8-80ef-4ec9-8a79-39f9e9ee87e4 | <image>
Which picture, out of the given choices, corresponds to the fourth picture if the first picture is a dog?
Choices:
(A) house
(B) paw
(C) dog | 142 | |
A | Tables/Diagrams/Charts | Processed-68373b9f-3a9f-4046-bccf-bd8804a80f6a | <image>
Which color is the spinner more likely to avoid landing on?
Choices:
(A) neither; white and yellow are equally likely
(B) yellow
(C) white | 143 | |
A | Spatial Reasoning | Processed-ffa6552f-bf01-4482-8ea3-f29d162528f0 | <image>
Which picture corresponds to the ninth position in the sequence, given that the first picture is a crab? Choices are (A) bucket, (B) crab, (C) boat. | 144 | |
C | Spatial Reasoning | Processed-780d43ae-1840-4b4d-9659-5f5bce12418b | <image>
If the first picture is a star, which picture corresponds to the fifth position in the sequence? Is it the star, moon, or rocket?
Choices:
(A) star
(B) moon
(C) rocket | 145 | |
B | Spatial Reasoning | Processed-75119a35-c699-454e-aee6-bf83a4b6a50e | <image>
What action has been performed on this letter?
Choices:
(A) slide
(B) turn
(C) flip | 146 | |
A | (GradeSchool) Geometric | Processed-44aecc4e-3657-445b-bcb0-9c3c2a2f6e5b | <image>
What is the fraction of shapes in the group that are rectangles?
(A) 8/10
(B) 2/7
(C) 7/12
(D) 11/12 | 147 | |
B | (GradeSchool) Non-Geo Math | Processed-1cbbfe15-4923-4049-a9aa-a6f08ccb933b | <image>
What is the probability of selecting a black marble without looking?
Choices:
(A) certain
(B) probable
(C) unlikely
(D) impossible | 148 | |
B | (GradeSchool) Geometric | Processed-7d87bed8-560a-4b5d-b819-c75c44e6ea5a | <image>
Are there more even or odd triangles?
Choices:
(A) odd
(B) even | 149 | |
A | Tables/Diagrams/Charts | Processed-5dd42acf-08da-4e36-8be7-86aa5324e7eb | <image>
The clocks indicate when some individuals washed the dishes yesterday before going to sleep. Who was the last to wash the dishes?
Choices:
(A) Zoe
(B) Tommy
(C) Gabby | 150 | |
C | Spatial Reasoning | Processed-01e47678-5cd1-4612-a482-dfea74c5adb9 | <image>
What has been done to this symbol?
Choices:
(A) slide
(B) flip
(C) turn | 151 | |
6 | Spatial Reasoning | Processed-4ec38cb0-dd85-40dc-a145-cd734172d4ea | <image>
How many shapes have this color? | 152 | |
C | Spatial Reasoning | Processed-0796f3ca-4efd-46e1-95bd-95d3584ac87d | <image>
The first image is a sub. Which image is ninth?
Choices:
(A) turtle
(B) sub
(C) fish | 153 | |
A | Spatial Reasoning | Processed-f436adf2-d8c0-4814-bdc1-cf71d2bbb0ca | <image>
Are there enough lids for each of these?
Choices:
(A) yes
(B) no | 154 | |
2 | (GradeSchool) Geometric | Processed-f1a30753-b8c3-4bcc-87e9-ce0ca7c72244 | <image>
Move the ruler to measure the length of this object to the nearest inch. This object is about (_) inches long. | 155 | |
A | (GradeSchool) Geometric | Processed-77bc638b-52ca-46ba-9b76-1593a6186514 | <image>
What has been done to this shape?
Choices:
(A) flip
(B) turn
(C) slide | 156 | |
D | Spatial Reasoning | Processed-1d51e215-f414-4c51-b083-2862d17d5a15 | <image>
How many triangles are visible here?
Choices:
(A) 2
(B) 5
(C) 3
(D) 4
(E) 1 | 157 | |
C | (GradeSchool) Geometric | Processed-0b475fcf-6706-4bac-9c2d-dd6b51540d14 | <image>
What has been done to this shape?
Choices:
(A) slide
(B) flip
(C) turn | 158 | |
3 | (GradeSchool) Geometric | Processed-03a724a8-40af-4cbf-9676-4e4e1efb1135 | <image>
How many cubes long is this? | 159 | |
A | Tables/Diagrams/Charts | Processed-f9b846c3-5c81-4ce4-b271-657af717270a | <image>
What fraction of this is blue?
Choices:
(A) 10/11
(B) 9/11
(C) 10/12
(D) 6/7 | 160 | |
B | Spatial Reasoning | Processed-c6bee868-5a76-46ac-9c0c-4f1d810200c1 | <image>
The first image is a moon. What is the third image?
Choices:
(A) moon
(B) star
(C) rocket | 161 | |
10 | Tables/Diagrams/Charts | Processed-afb9e2e9-ce02-4e6c-84aa-2a563ada1e1e | <image>
How many of these are there? | 162 | |
100 | (GradeSchool) Geometric | Processed-18dcbf1f-48a1-45d5-ad13-222bf66dd4c0 | <image>
How many shapes are there? | 163 | |
E | (GradeSchool) Geometric | Processed-11e3da1a-f41b-4595-aed0-ff9faac36231 | <image>
How many shapes are present in the grid?
Choices:
(A) 5
(B) 3
(C) 4
(D) 2
(E) 1 | 164 | |
A | (GradeSchool) Non-Geo Math | Processed-83223e94-5ac7-42a0-ba19-43d935e44f53 | <image>
If you pick a marble without looking, which color are you more likely to get?
Choices:
(A) purple
(B) neither; black and purple are equally likely
(C) black | 165 | |
2 | Spatial Reasoning | Processed-42504236-ca51-4937-94ce-f2f39ed617c6 | <image>
How many cubes tall is this? | 166 | |
B | Spatial Reasoning | Processed-ef883adc-9690-49ae-9695-1f89eca9b996 | <image>
Are there an even or odd number of fish?
Choices:
(A) even
(B) odd | 167 | |
C | (GradeSchool) Geometric | Processed-cb08ecb2-daf2-4eec-bbd3-13309cd89b49 | <image>
如图,小明同学在将一张矩形纸片ABCD的四个角向内折起时,发现恰好能拼成一个无缝隙无重叠的四边形EFGH.于是他测量出EH=12cm,EF=16cm,根据这两个数据他很快求出了边AD的长,则边AD的长是()
Choices:
(A) 12cm
(B) 16cm
(C) 20cm
(D) 28cm | 168 | |
C | (GradeSchool) Geometric | Processed-2ae6cf98-9e69-4318-826b-8f44e688c85a | <image>
如图:A、B、C在⊙O上,∠C=20°,∠B=50°,则∠A=()
Choices:
(A) 20°
(B) 25°
(C) 30°
(D) 40° | 169 | |
C | (GradeSchool) Geometric | Processed-ead94d02-e6d6-43d0-b6b8-aea80ed8b0bc | <image>
如图,AB为⊙O的直径,CD为弦,AB⊥CD,如果∠BOC=70°,则∠ABD的度数为()
Choices:
(A) 35°
(B) 45°
(C) 55°
(D) 70° | 170 | |
C | (GradeSchool) Geometric | Processed-28406bf7-2147-4996-b6d8-992bc6712261 | <image>
如图,已知1号,4号两个正方形的面积和为7,2号,3号两个正方形的而积和为4,则a,b,c三个方形的面积和为()
Choices:
(A) 10
(B) 13
(C) 15
(D) 22 | 171 | |
B | (GradeSchool) Geometric | Processed-1a088f7f-ca44-4928-8a9f-15c3467ad5dc | <image>
如图,AB∥CD,∠1=58°,FG平分∠EFD,则∠FGB的度数等于()
Choices:
(A) 29°
(B) 151°
(C) 122°
(D) 109° | 172 | |
B | (GradeSchool) Geometric | Processed-a68defa9-bec1-44d1-9130-90acc4194aef | <image>
如图,OA,OB是⊙O的半径,C是⊙O上的一点,∠AOB=40°,∠OCB=50°,则∠OAC的度数为()
Choices:
(A) 20°
(B) 30°
(C) 40°
(D) 50° | 173 | |
D | (GradeSchool) Geometric | Processed-8d66dda5-8685-43ca-ba24-d52e41b6b5bb | <image>
如图,AB、CD是⊙O的两条直径,且AB⊥CD,⁀{CE}=\frac{1}{2}⁀{EB},P为直径CD上一动点,若⊙O的直径AB=2,则△PEB周长的最小值是()
Choices:
(A) 3
(B) 4
(C) 2√{3}
(D) √{3}+1 | 174 | |
C | (GradeSchool) Geometric | Processed-866ebcdc-aee1-4315-89f5-f24ab59ca043 | <image>
如图,四边形ABCD是矩形,点E和点F是矩形ABCD外两点,AE⊥CF于点H,AD=3,DC=4,DE=\frac{5}{2},∠EDF=90°,则DF长是()
Choices:
(A) \frac{15}{8}
(B) \frac{11}{3}
(C) \frac{10}{3}
(D) \frac{16}{5} | 175 | |
D | (GradeSchool) Geometric | Processed-983c135f-2d23-4f38-b89a-d7c23e7e1ff1 | <image>
如图,已知钝角三角形ABC,将△ABC绕点A按逆时针方向旋转110°得到△AB′C′,连接BB′,若AC′∥BB′,则∠CAB′的度数为()
Choices:
(A) 55°
(B) 65°
(C) 85°
(D) 75° | 176 | |
C | (GradeSchool) Geometric | Processed-676af790-64a7-4087-b81a-88e7ab1d8f5e | <image>
如图,构成伸缩门的基本图形是菱形,且每个小菱形的边长都为0.4米,伸缩门伸展到最宽时为8米,此时菱形的一个内角为60°．若中间隔板的厚度不计,则图中的n为()
Choices:
(A) 10
(B) 15
(C) 20
(D) 25 | 177 | |
C | (GradeSchool) Geometric | Processed-3aeed1fa-4151-46c6-b220-f53448ba186e | <image>
如图,AB∥DE,FG⊥BC于F,∠CDE=40°,则∠FGA的度数为()
Choices:
(A) 40°
(B) 50°
(C) 130°
(D) 140° | 178 | |
C | (GradeSchool) Geometric | Processed-cabddaaf-10a1-45f7-a296-ae17b5bcc7c8 | <image>
如图,△ABC,∠ABC、∠ACB的三等分线交于点E、D,若∠BFC=132°,∠BGC=118°,则∠A的度数为()
Choices:
(A) 65°
(B) 66°
(C) 70°
(D) 78° | 179 | |
C | (GradeSchool) Geometric | Processed-762b4c20-f100-4154-8f04-f6cfd6b61b3d | <image>
如图,有一斜坡AB,坡角∠B=30°,其水平长度BC为30米,则坡面AB的长为()
Choices:
(A) 15米
(B) 15√{3}米
(C) 20√{3}米
(D) 60米 | 180 | |
D | (GradeSchool) Geometric | Processed-88b035ac-05b0-4258-86af-fe03e7763fd0 | <image>
如图,AB是⊙O的直径,PA切⊙O于点A,PO交⊙O于点C,连接BC．若∠B=20°,则∠P等于()
Choices:
(A) 20°
(B) 30°
(C) 40°
(D) 50° | 181 | |
B | (GradeSchool) Geometric | Processed-33178e8b-48f0-4470-9248-a99505b6d803 | <image>
如图,在四边形ABCD中,∠DAB的角平分线与∠ABC的外角平分线相交于点P,且∠D+∠C=210°,则∠P=()
Choices:
(A) 10°
(B) 15°
(C) 30°
(D) 40° | 182 | |
D | (GradeSchool) Geometric | Processed-667274b7-50bf-4d54-b2f1-66600a7cb0a9 | <image>
如图,测得BD=120m,DC=60m,EC=50m,则小河宽AB的长是()
Choices:
(A) 180m
(B) 150m
(C) 144m
(D) 100m | 183 | |
D | (GradeSchool) Geometric | Processed-fc420c85-6d06-414d-ba3a-90ceb2f0700c | <image>
如图,已知PA、PB是⊙O的切线,A、B为切点,AC是⊙O的直径,∠P=40°,则∠BAC的大小是()
Choices:
(A) 70°
(B) 40°
(C) 50°
(D) 20° | 184 | |
C | (GradeSchool) Geometric | Processed-8d0e0c9e-e565-4e04-a252-b5eacf240a31 | <image>
如图,直线a∥b,∠1=85°,∠2=30°,则∠3=()
Choices:
(A) 85°
(B) 60°
(C) 55°
(D) 35° | 185 | |
D | (GradeSchool) Geometric | Processed-d44ee96d-a59b-4fd9-9790-4418f2bd361b | <image>
如图,CD为⊙O的直径,过点D的弦DE平行于半径OA,若∠D的度数是50°,则∠A的度数为()
Choices:
(A) 50°
(B) 40°
(C) 30°
(D) 25° | 186 | |
B | (GradeSchool) Geometric | Processed-b792486c-b9f0-4dad-97d8-13a95d629c29 | <image>
如图,△ABC内接于⊙O,E是AC上一点,EF⊥AB于点F,且\frac{AE}{EF}=\frac{3}{4},BC=10,则BC的弦心距OD等于()
Choices:
(A) \frac{9}{4}
(B) \frac{15}{4}
(C) 4
(D) \frac{12}{5} | 187 | |
C | (GradeSchool) Geometric | Processed-7271797c-3318-4968-b158-188270f0c19d | <image>
如图,点F在平行四边形ABCD的边CD上,且\frac{CF}{AB}=\frac{2}{3},连接BF并延长交AD的延长线于点E,则\frac{DE}{BC}的值为()
Choices:
(A) \frac{1}{3}
(B) \frac{2}{3}
(C) \frac{1}{2}
(D) \frac{2}{5} | 188 | |
C | (GradeSchool) Geometric | Processed-9fdfd29a-81a8-48ac-838d-99ae729e8b24 | <image>
如图,在圆O中,弦AB、CD所对的圆心角分别是∠AOB、∠COD,若∠AOB和∠COD互补,且AB=2,CD=4,则圆O的半径是()
Choices:
(A) √{3}
(B) 2
(C) √{5}
(D) 4 | 189 | |
C | (GradeSchool) Geometric | Processed-f6f3103a-96e4-4e8c-8e2f-2e82344031de | <image>
如图①为我们常见的马扎,图②是马扎撑开后的侧面示意图,其中腿AB和CD的长度相等,O是它们的中点,为使马扎既舒适又牢固,匠工师傅将撑开后的马扎高度设计为32cm,∠DOB=100°,那么腿AB的长度大约为(结果精确到0.1cm,参考数据:sin50°=cos40°≈0.77,sin40°=cos50°≈0.64,tan40°≈0.84,tan50°≈1.19)()
Choices:
(A) 38.1cm
(B) 49.8cm
(C) 41.6cm
(D) 45.3cm | 190 | |
B | (GradeSchool) Geometric | Processed-c8208ddb-f865-4048-b2c5-311de1400afe | <image>
如图,过平行四边形的对称中心0任意画5条直线a、b、m、n、l,已知BC=6,BC边上的高为4,则阴影部分的面积为()
Choices:
(A) 24
(B) 12
(C) 6
(D) 3 | 191 | |
D | (GradeSchool) Geometric | Processed-79b12725-e6b7-497e-b60f-f772390dfce8 | <image>
如图,四边形OABC为菱形,点A、B在以点O为圆心的弧DE上,若AO=3,∠1=∠2,则扇形ODE的面积为()
Choices:
(A) \frac{3}{2}π
(B) 2π
(C) \frac{5}{2}π
(D) 3π | 192 | |
A | (GradeSchool) Geometric | Processed-c6818044-5380-4e25-8d99-04f79e8081a7 | <image>
如图,⊙O直径AB=8,∠CBD=30°,则CD=()
Choices:
(A) 4
(B) 6
(C) 3
(D) 2√{2} | 193 | |
A | (GradeSchool) Geometric | Processed-b92b8553-163e-4e7f-a264-eac1e1c0e06e | <image>
如图,∠BOC=130°,∠ABO=∠CBE,∠ACO=∠BCD,∠CDE=45°,FA⊥BA交BC延长线于F,则∠FAC的度数为()
Choices:
(A) 5°
(B) 10°
(C) 15°
(D) 以上答案都不对 | 194 | |
A | (GradeSchool) Geometric | Processed-63f0efb1-3aef-47ec-aef5-868925ebb4b8 | <image>
如图,一艘海轮位于灯塔P的北偏东30°方向,距离灯塔80海里的A处,它沿正南方向航行一段时间后,到达位于灯塔P的南偏东45°方向上的B处,这时,海轮所在的B处与灯塔P的距离为()
Choices:
(A) 40√{2}海里
(B) 40√{3}海里
(C) 80海里
(D) 40√{6}海里 | 195 | |
B | (GradeSchool) Geometric | Processed-6ebfbf05-e286-4076-b140-727d09916bba | <image>
如图,在△ABC中,DE∥BC,DF∥AC,EG∥AB,且AE:EC=3:2,若BC=10,则FG的长为()
Choices:
(A) 1
(B) 2
(C) 3
(D) 4 | 196 | |
D | (GradeSchool) Geometric | Processed-60b397bf-da2e-4676-81aa-8bad2bfec928 | <image>
如图,D是⊙O的直径,A、B是⊙O上的两点,若∠ADC=80°,则∠ABD的度数为()
Choices:
(A) 40°
(B) 30°
(C) 20°
(D) 10° | 197 | |
C | (GradeSchool) Geometric | Processed-4c7f339a-5080-4f1c-85b0-eb8cd5a27b4a | <image>
如图,BC的垂直平分线分别交AB、BC于点D和点E,连接CD,AC=DC,∠B=25°,则∠ACD的度数是()
Choices:
(A) 50°
(B) 65°
(C) 80°
(D) 100° | 198 | |
A | (GradeSchool) Geometric | Processed-c5fb1b9e-151d-427f-9e02-1c4cd89e2a48 | <image>
如图,将△ABC绕点C按顺时针方向旋转至△A′B′C,使点A′落在BC的延长线上．已知∠A=27°,∠B=40°,则∠ACB′是()
Choices:
(A) 46°
(B) 45°
(C) 44°
(D) 43° | 199 |
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