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As shown in the figure, in triangle ABC, it is known that angle A = 80.0, angle B = 60.0, point D is on AB and point E is on AC, DE parallel BC, then the size of angle CED is ()
Choices:
A:40°
B:60°
C:120°
D:140° | D |
|
As shown in the figure, AB parallel CD, straight line EF intersects AB at point E, intersects CD at point F, EG bisects angle BEF, and it intersects CD at point G, angle 1 = 50.0, then angle 2 is equal to ()
Choices:
A:50°
B:60°
C:65°
D:90° | C |
|
As shown in the figure, BC and BA intersect at point B, BD bisects angle ABC, CD parallel AB, if angle BCD = 70.0, then the degree of angle CDB is ()
Choices:
A:55°
B:50°
C:45°
D:30° | A |
|
As shown in the figure, AB is tangent to circle O at point B, and the extended line of AO intersects circle O at point C. Connect BC, if angle A = 36.0, then angle C is equal to ()
Choices:
A:36°
B:54°
C:60°
D:27° | D |
|
As shown in the figure, straight lines a and b intersect at point O. If angle 1 is equal to 50.0, then angle 2 is equal to ()
Choices:
A:50°
B:40°
C:140°
D:130° | A |
|
As shown in the figure, AB // CD, and EF intersects AB and CD at points E, F, angle 1 = 50.0, then the degree of angle 2 is ()
Choices:
A:50°
B:120°
C:130°
D:150° | C |
|
As shown in the figure, triangle ABC congruent triangle ADE, Point A is their common vertex. if angle B = 70.0, angle C = 30.0, angle DAC = 35.0, then the degree of angle EAC is ()
Choices:
A:40°
B:45°
C:35°
D:25° | B |
|
As shown in the figure, triangle ABC congruent triangle DEF, points A and D, B and E are the corresponding vertices, and the measured BC = 5.0, BF = 7.0, then the length of EC is ()
Choices:
A:1cm
B:2cm
C:3cm
D:4cm | C |
|
As shown in the figure, in triangle ABC, angle C = 90.0, AC = BC, AD bisects angle CAB and it intersects BC at D, DE perpendicular AB at E, if AB = 6.0, then the perimeter of triangle DBE is ()
Choices:
A:6cm
B:7cm
C:8cm
D:9cm | A |
|
As shown in the figure, in triangle ABC, AB = AC, angle A = 36.0, the perpendicular bisector of AB intersects AC at D, and intersects AB at E, then the degree of angle BDC is ()
Choices:
A:72°
B:36°
C:60°
D:82° | A |
|
As shown in the figure, angle C = 36.0, rotate triangle ABC anticlockwise around point A by 60.0 to get triangle AED, AD and BC intersect at point F, then the degree of angle AFC is ()
Choices:
A:84°
B:80°
C:60°
D:90° | A |
|
As shown in the figure, the straight line AB parallel CD, Rttriangle DEF is placed as shown, angle EDF = 90.0, if angle 1 + angle F = 70.0, then the degree of angle 2 is ()
Choices:
A:20°
B:25°
C:30°
D:40° | A |
|
As shown in the figure, AB parallel EF, angle BAC = 50.0, then angle ACD = ()
Choices:
A:120°
B:130°
C:140°
D:150° | C |
|
As shown in the figure, triangle ABC is the inscribed triangle of circle O, angle OAB = 35.0, then the degree of angle ACB is ()
Choices:
A:35°
B:55°
C:60°
D:70° | B |
|
As shown in the figure, the straight line a and the straight line b are intercepted by the straight line c, b perpendicular c, the foot of perpendicular is the point A, angle 1 = 70.0. If the line b is parallel to the line a, the line b can be rotated () clockwise around the point A
Choices:
A:70°
B:50°
C:30°
D:20° | D |
|
As shown in the figure, in circle O, chord AC parallel radius OB, angle BOC = 50.0, then the degree of angle OAB is ()
Choices:
A:25°
B:50°
C:60°
D:30° | A |
|
In parallelogram ABCD, the diagonal AC and BD intersect at point O, angle DAC = 42.0, angle CBD = 23.0, then angle COD is ().
Choices:
A:61°
B:63°
C:65°
D:67° | C |
|
The positions of straight lines a, b, c, and d are shown in the figure. If angle 1 = 58.0, angle 2 = 58.0, angle 3 = 70.0, then angle 4 is equal to ()
Choices:
A:58°
B:70°
C:110°
D:116° | C |
|
As shown in the figure, a parallel b, angle 1 = 158.0, angle 2 = 42.0, angle 4 = 50.0. Then angle 3 = ()
Choices:
A:50°
B:60°
C:70°
D:80° | C |
|
As shown in the figure, AB is the diameter of circle O, C and D are two points on circle O. Connect AC, BC, CD, and OD respectively. If angle DOB = 140.0, then angle ACD = ()
Choices:
A:20°
B:30°
C:40°
D:.70°A70° | A |
|
As shown in the figure, it is known that angle 1 = angle 2 = angle 3 = 55.0, then the degree of angle 4 is ()
Choices:
A:110°
B:115°
C:120°
D:125° | D |
|
As shown in the figure, in the diamond ABCD, M and N are respectively AB and CD, and AM = CN, MN and AC intersect at point O. Connect BO. If angle DAC = 28.0, then the degree of angle OBC is ()
Choices:
A:28°
B:52°
C:62°
D:72° | C |
|
As shown in the figure, PA and PB are tangent to circle O at A and B respectively. If angle C = 65.0, then the degree of angle P is ()
Choices:
A:65°
B:130°
C:50°
D:100° | C |
|
As shown in the figure, the line a parallel b and they intersect the line c at a and b respectively, angle 1 = 50.0, then the degree of angle 2 is ()
Choices:
A:150°
B:130°
C:100°
D:50° | B |
|
As shown in the figure, EF parallel BC, AC bisects angle BAF, angle B = 50.0, then the degree of angle C is ()
Choices:
A:50°
B:55°
C:60°
D:65° | D |
|
As shown in the figure, in order to measure the height of the school flagpole, Xiaodong uses a bamboo pole with a length of 3.2 as a measuring tool, and moves the bamboo pole so that the top of the bamboo pole and the shadow of the top of the flag pole fall on the same point on the ground. At this time, the distance between the bamboo pole and this point is 8.0 , 22.0 from the flagpole, the height of the flagpole is ().
Choices:
A:8.8
B:10
C:12
D:14 | C |
|
As shown in the figure, when planting trees on flat ground, the plant spacing (the horizontal distance between two adjacent trees) is required to be 4.0. If trees are planted on a hillside with a slope of 0.75, and the plant spacing is also required to be 4.0, then the slope distance between two adjacent trees is ()
Choices:
A:5m
B:6m
C:7m
D:8m | A |
|
As shown in the figure, the right triangle ABC and the equilateral triangle ABD are respectively drawn with the line segment AB as the edge, where angle ACB = 90.0. Connect CD, when the length of CD is the largest, the size of angle CAB is ()
Choices:
A:75°
B:45°
C:30°
D:15° | B |
|
As shown in the figure, In the triangle ABC, D is the intersection point of the angular bisector BD and CD of triangle ABC. If angle A = 50.0, then angle D = ()
Choices:
A:120°
B:130°
C:115°
D:110° | C |
|
As shown in the figure, it is known that OA = OB = OC and angle ACB = 30.0, then the size of angle AOB is ()
Choices:
A:40°
B:50°
C:60°
D:70° | C |
|
As shown in the figure, the straight line a parallel b, the point B is on the straight line b, and AB perpendicular BC, angle 2 = 65.0, then the degree of angle 1 is ()
Choices:
A:65°
B:25°
C:35°
D:45° | B |
|
Circle I is the inscribed circle of triangle ABC, D, E, F are 3 tangent points, if angle DEF = 52.0, then the degree of angle A is ()
Choices:
A:68°
B:52°
C:76°
D:38° | C |
|
As shown in the figure, the straight line AB parallel CD, angle 1 = 136.0, angle E is a right angle, then angle C is equal to ()
Choices:
A:42°
B:44°
C:46°
D:48° | C |
|
As shown in the figure, the straight lines AB and CD are intercepted by the straight line EF. If AB parallel CD, angle 1 = 100.0, then the size of angle 2 is ()
Choices:
A:10°
B:50°
C:80°
D:100° | C |
|
As shown in the figure: AB parallel DE, angle B = 30.0, angle C = 110.0, the degree of angle D is ()
Choices:
A:115°
B:120°
C:100°
D:80° | C |
|
As shown in the figure, AB is the diameter of circle O, point C is on circle O, passing point C to draw the tangent of circle O and it intersects the extended line of AB at point D. Connect AC. If angle D = 50.0, then the degree of angle A is ()
Choices:
A:20°
B:25°
C:.40°
D:50° | A |
|
As shown in the figure, AB parallel CD, CP intersects AB at O, AO = PO, if angle C = 50.0, then the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
D:50° | A |
|
As shown in the figure, in triangle ABC, AB = AC, passing point A to draw AD parallel BC. If angle 1 = 70.0, then the size of angle BAC is ()
Choices:
A:40°
B:30°
C:.70°
D:50° | A |
|
Fold a rectangular piece of paper with equal width as shown in the figure. If angle 1 = 140.0, then the degree of angle 2 is ()
Choices:
A:100°
B:110°
C:120°
D:140° | B |
|
As shown in the figure, it is known that the straight lines a and b are intercepted by the straight line c, a parallel b, angle 1 = 50.0, then angle 2 = ()
Choices:
A:50°
B:130°
C:40°
D:60° | A |
|
The positions of straight lines a, b, c, and d are shown in the figure. If angle 1 = 100.0, angle 2 = 100.0, angle 3 = 125.0, then angle 4 is equal to ()
Choices:
A:80°
B:65°
C:60°
D:55° | D |
|
The figure is a schematic diagram of a kite stand made by Xiao Liu. It is known that BC parallel PQ, AB:AP = 2.0:5.0, AQ = 20.0, then the length of CQ is ()
Choices:
A:8cm
B:12cm
C:30cm
D:50cm | B |
|
As shown in the figure, triangle ODC is the figure obtained by rotating triangle OAB clockwise around point O by 30.0. If point D happens to fall on AB, and the degree of angle AOC is 100.0, then the degree of angle DOB is ()
Choices:
A:40°
B:30°
C:38°
D:15° | A |
|
As shown in the figure, the two street lamps A and B are separated by 30.0. One night, when Xiaogang went straight 25.0 from the bottom of street lamp A to the bottom of street lamp B, he found that the top of his figure just touched the bottom of street lamp B. It is known that Xiaogang's height is 1.5, then the height of the street lamp is ()
Choices:
A:9米
B:8米
C:7米
D:6米 | A |
|
As shown in the figure, C is a point on circle O, O is the center of the circle, if angle C = 35.0, then the degree of angle AOB is ()
Choices:
A:35°
B:70°
C:105°
D:150° | B |
|
As shown in the figure, if AB parallel CD, angle A = 70.0, then the degree of angle 1 is ()
Choices:
A:20°
B:30°
C:70°
D:110° | D |
|
As shown in the figure, the straight line AB parallel CD, angle C = 44.0, angle E is a right angle, then angle 1 is equal to ()
Choices:
A:132°
B:134°
C:136°
D:138° | B |
|
As shown in the figure, A, B, C are any three points on circle O, if angle BOC = 100.0, then the degree of angle BAC is ()
Choices:
A:50°
B:80°
C:100°
D:130° | D |
|
As shown in the figure, in the inscribed pentagon ABCDE of circle O, angle CAD = 35.0, angle AED = 115.0, then the degree of angle B is ()
Choices:
A:50°
B:75°
C:80°
D:100° | D |
|
As shown in the figure, the straight lines AB and CD intersect at point O, EO perpendicular AB, and the foot of perpendicular is point O, angle BOD = 50.0, then angle COE = ()
Choices:
A:30°
B:140°
C:50°
D:60° | B |
|
As shown in the figure, the points B, E, C, and F are on the same straight line, triangle ABC congruent triangle DEF, angle B = 45.0, angle F = 65.0, then the degree of angle COE is ()
Choices:
A:40°
B:60°
C:70°
D:100° | C |
|
As shown in the figure, put the two vertices of a right triangle plate with 45.0 angles on the opposite edges of the ruler. If angle 1 = 27.5, then angle 2 is equal to ()
Choices:
A:32.5°
B:22.5°
C:20.5°
D:17.5° | D |
|
As shown in the figure, the straight line a parallel b, the straight line c intersects a and b, angle 1 = 55.0, then angle 2 = ()
Choices:
A:55°
B:35°
C:125°
D:65° | A |
|
Place a ruler and a triangular plate as shown in the figure, angle 1 = 40.0, then the degree of angle 2 is ()
Choices:
A:130°
B:140°
C:120°
D:125° | A |
|
As shown in the figure, the straight lines AB and CD intersect at point O, and the radial OM bisects angle AOC, ON perpendicular OM. If angle AOC = 70.0, then the degree of angle CON is ()
Choices:
A:65°
B:55°
C:45°
D:35° | B |
|
As shown in the figure, the diameter CD of circle O crosses the midpoint G of chord EF, angle DCF = 20.0, then angle EOD is equal to ()
Choices:
A:10°
B:20°
C:40°
D:80° | C |
|
As shown in the figure, AB is parallel to CD, if angle B = 20.0, then angle C is ()
Choices:
A:40°
B:20°
C:60°
D:70° | B |
|
As shown in the figure, AB parallel CD, angle CED = 90.0, angle AEC = 35.0, then the size of angle D is ()
Choices:
A:65°
B:55°
C:45°
D:35° | B |
|
As shown in the figure, AB parallel CD, AD bisects angle BAC, and angle C = 80.0, then the degree of angle D is ()
Choices:
A:50°
B:60°
C:70°
D:100° | A |
|
As shown in the figure, AB parallel CD, if angle 2 = 135.0, then the degree of angle 1 is ()
Choices:
A:30°
B:45°
C:60°
D:75° | B |
|
As shown in the figure, AB parallel CD, point E is on BC, and CD = CE, angle D = 74.0, then the degree of angle B is ()
Choices:
A:74°
B:32°
C:22°
D:16° | B |
|
As shown in the figure, AB parallel CD, point E is on the extended line of CA. If angle BAE = 40.0, then the size of angle ACD is ()
Choices:
A:150°
B:140°
C:130°
D:120° | B |
|
As shown in the figure, use the benchmark BE to measure the height of the tree CD. EB and DC are perpendicular to AC, If the length of the benchmark BE is 2.0, AB = 3.0, AC = 9.0, and the points A, E, and D are on a straight line, then the tree CD is ()
Choices:
A:6米
B:7.5米
C:8米
D:8.5米 | A |
|
After filling some oil in a cylindrical oil tank with a diameter of 200.0, the cross section is shown in the figure. If the width of the oil surface AB = 160.0, the maximum depth of oil is ()
Choices:
A:40cm
B:60cm
C:80cm
D:100cm | A |
|
As shown in the figure, angle 1 = angle 2, angle 4 = 30.0, then angle 3 is equal to ()
Choices:
A:120°
B:130°
C:145°
D:150° | D |
|
As shown in the figure, AB parallel CD, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00° | B |
|
As shown in the figure, the straight line AB parallel CD, AE bisects angle CAB, angle ACD = 40.0, then the degree of angle AEC is ()
Choices:
A:40°
B:70°
C:80°
D:140° | B |
|
Xuan Xuan and Kai Kai are in the same mathematics study group. In a math activity class, they each used a square piece of paper with a side length of 12.0 to make a pair of jigsaw puzzles, and cooperated to design the work shown in the picture. Help them calculate the sum of the area of the three figures circled in the figure, it is ()
Choices:
A:12cm
B:24cm
C:36cm
D:48cm | C |
|
As shown in the figure, the straight line a parallel b, angle 2 = 35.0, angle 3 = 40.0, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | B |
|
As shown in the figure, BD is the angular bisector of triangle ABC, AE perpendicular BD, and the foot of perpendicular is F. If angle ABC = 35.0, angle C = 50.0, then the degree of angle CDE is ()
Choices:
A:35°
B:40°
C:45°
D:50° | C |
|
As shown in the figure, the straight line AD parallel BC, if angle 1 = 42.0, angle BAC = 78.0, then the degree of angle 2 is ()
Choices:
A:42°
B:50°
C:60°
D:68° | C |
|
As shown in the figure, the perimeter of parallelogram ABCD is 16.0, AC and BD intersect at point O, and OE perpendicular AC and it intersects AD at point E, then the perimeter of triangle DCE is ()
Choices:
A:10cm
B:8cm
C:6cm
D:4cm | B |
|
As shown in the figure, triangle ABC is the inscribed triangle of circle O. If angle ABC = 70.0, then the degree of angle AOC is equal to ()
Choices:
A:140°
B:130°
C:120°
D:110° | A |
|
As shown in the figure, AB parallel CD, radial AE intersects CD at point F, if angle 1 = 115.0, then the degree of angle 2 is ()
Choices:
A:55°
B:65°
C:75°
D:85° | B |
|
As shown in the figure, a // b, put the right-angled vertex of a triangular plate on the straight line a, angle 1 = 42.0, then the degree of angle 2 is ()
Choices:
A:46°
B:48°
C:56°
D:72° | B |
|
As shown in the figure, a parallel b, point B is on the straight line b, and AB perpendicular BC, angle 1 = 36.0, then angle 2 = ()
Choices:
A:54°
B:56°
C:44°
D:46° | A |
|
As shown in the figure, if angle 1 = angle 3, angle 2 = 60.0, then the degree of angle 4 is ()
Choices:
A:60°
B:100°
C:120°
D:130° | C |
|
As shown in the figure, AB parallel CD, AE bisects angle CAB and CD at point E, if angle C = 70.0, then the degree of angle AED is ()
Choices:
A:110°
B:125°
C:135°
D:140° | B |
|
As shown in the figure, the perimeter of parallelogram ABCD is 32.0, AC, BD intersect at point O, and OE perpendicular AC and it intersects AD at point E, then the perimeter of triangle DCE is ()
Choices:
A:8cm
B:24cm
C:10cm
D:16cm | D |
|
As shown in the figure, a cylinder with a bottom circumference of 24.0 and a height of 5.0, the shortest route that an ant passes along the surface from point A to point B is ()
Choices:
A:12m
B:15m
C:13m
D:14m | C |
|
As shown in the figure, in triangle ABC, angle BAC = 90.0, AD perpendicular BC at point D, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()
Choices:
A:45°
B:20°
C:30°
D:25° | D |
|
As shown in the figure, the line l parallel m parallel n, the vertices B and C of the triangle ABC are on the line n and line m, the angle between BC and the line n is 25.0, and angle ACB = 60.0, then the degree of angle a is ()
Choices:
A:25°
B:30°
C:35°
D:45° | C |
|
As shown in the figure, it is known that in circle O, the central angle angle AOB = 100.0, then the angle of circumference angle ACB is equal to ().
Choices:
A:130°
B:120°
C:110°
D:100° | A |
|
As shown in the figure, triangle ABC is inscribed in circle O with radius 1.0, if angle BAC = 60.0, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{2} | C |
|
As shown in the figure, the circle O is the circumscribed circle of triangle ABC, and the bisector of angle BAC and angle ABC intersects at point I. Extend AI and it intersects circle O at point D. Connect BD and DC. If the radius of circle O is 8.0, angle BAC = 120.0, then the length of DI is ()
Choices:
A:4√{3}+2
B:4√{3}+3
C:8√{3}+1
D:8√{3} | D |
|
As shown in the figure, circle O is the circumscribed circle of triangle ABC. Connect OB and OC, if the radius of circle O is 2.0, angle BAC = 60.0, then the length of BC is ()
Choices:
A:√{3}
B:2√{3}
C:4
D:4√{3} | B |
|
As shown in the figure, AB and CD are the two diameters of circle O, chord DE parallel AB, arc DE is the arc of 50.0, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° | A |
|
As shown in the figure, points A, B, and C are on circle O, angle ABO = 22.0, angle ACO = 42.0, then angle BOC is equal to ()
Choices:
A:128°
B:108°
C:86°
D:64° | A |
|
As shown in the figure, A, B, C are three points on circle O, angle ACB = 25.0, then the degree of angle BAO is ()
Choices:
A:50°
B:55°
C:60°
D:65° | D |
|
As shown in the figure, it is known that in circle O, angle AOB = 50.0, then the degree of the angle of circumference angle ACB is ()
Choices:
A:50°
B:25°
C:100°
D:30° | C |
|
As shown in the figure, AB is the diameter of circle O, C and D are two points on circle O, angle BAC = 30.0, arc AD = arc CD. Then angle DAC is equal to ()
Choices:
A:70°
B:45°
C:30°
D:25° | B |
|
As shown in the figure, AB is the diameter of circle O, C and D are two points on the circle, angle D = 34.0, then the degree of angle BOC is ()
Choices:
A:102°
B:112°
C:122°
D:132° | B |
|
As shown in the figure, points A, B, and C are all on circle O, when angle OBC = 40.0, the degree of angle A is ()
Choices:
A:50°
B:55°
C:60°
D:65° | A |
|
As shown in the figure, the diameter AB of circle O is perpendicular to the chord CD, the foot of perpendicular is the point E, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
D:12 | A |
|
As shown in the figure, in circle O, chord BC and radius OA intersect at point D. Connect AB and OC. If angle A = 60.0, angle ADC = 90.0, then the degree of angle C is ()
Choices:
A:25°
B:27.5°
C:30°
D:35° | C |
|
As shown in the figure, points A, B, and P are three points on circle O, if angle AOB = 40.0, then the degree of angle APB is ()
Choices:
A:80°
B:140°
C:20°
D:50° | C |
|
As shown in the figure, AB is the chord of circle O, OC perpendicular AB and it intersects circle O at point C. Connect OA, OB, BC, if angle ABC = 25.0, then the size of angle AOB is ()
Choices:
A:80°
B:90°
C:100°
D:120° | C |
|
As shown in the figure, given the angle of circumference angle A = 50.0, then the size of angle OBC is ()
Choices:
A:50°
B:40°
C:130°
D:80° | B |
|
As shown in the figure, AB is the diameter of circle O, CD is the chord of circle O, angle ADC = 26.0, then the degree of angle CAB is ()
Choices:
A:26°
B:74°
C:64°
D:54°
102 | C |
|
As shown in the figure, in circle O, AB is the diameter, CD is the chord, AB perpendicular CD, the foot of perpendicular is the point E. Connect CO and AD, if angle BOC = 30.0, then the degree of angle BAD is ()
Choices:
A:30°
B:25°
C:20°
D:15° | D |
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