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Jinghua

几何初步

强化训练(一)

一、填空题

  1. 用一副三角板可以作出大于 0^\circ 而小于 180^\circ 的角的个数是 ________.
  2. 时钟的分针每60分钟转一圈,那么分针转 90^\circ 需 ________ 分钟,转 120^\circ 需 ________ 分钟,25分钟转 ________ 度.
  3. 如图,四点 A B C D 在一直线上,则图中有 ________ 条线段;若 AC=12\text{cm} BD=8\text{cm} ,且 AD=3BC ,则 AB= ________, BC= ________, CD= ________.
Diagram showing four collinear points A, B, C, D in order on a line segment.
Diagram showing four collinear points A, B, C, D in order on a line segment.
  1. 已知有公共顶点的三条射线 OA OB OC ,若 \angle AOB=120^\circ \angle BOC=30^\circ ,则 \angle AOC= ________.
  2. 已知点 A B C 三个点在同一条直线上,若线段 AB=8 BC=5 ,则线段 AC= ________.
  1. 如图,已知 OA \perp OB ,直线 CD 经过顶点 O ,若 \angle BOD: \angle AOC=5: 2 ,则 \angle AOC= ________ ^\circ \angle BOD= ________ ^\circ .
Diagram for Q6: OA perpendicular to OB, and line CD passing through O, forming angles AOC, AOD, BOD, BOC.
Diagram for Q6: OA perpendicular to OB, and line CD passing through O, forming angles AOC, AOD, BOD, BOC.

7. 计算:

  1. (1) 23^\circ 30' = ________ ^\circ ;
  2. (2) 78.36^\circ = ________ ^\circ ________ ' ;
  3. (3) 52^\circ 45' - 32^\circ 46' = ________ ^\circ ________ ' ;
  4. (4) 18.3^\circ + 26.34^\circ = ________ ^\circ ________ ' ;
  5. 要把木条固定在墙上至少要钉两颗钉子,这是因为 ________.
  6. 水平放置的正方体的六个面分别用“前面、后面、上面、下面、左面、右面”表示.如右图,是一个正方体的平面展开图.若图中的“似”表示正方体的前面,“锦”表示右面,“程”表示下面.则“祝”、“你”、“前”分别表示正方体的 ________.
  7. 如图, B O C 在同一条直线上, OE 平分 \angle AOB OD 平分 \angle AOC ,则 \angle EOD= ________ ^\circ .
Diagram for Q10: Rays OA, OB, OC originate from O, where B, O, C are collinear. Ray OE bisects angle AOB, and ray OD bisects angle AOC.
Diagram for Q10: Rays OA, OB, OC originate from O, where B, O, C are collinear. Ray OE bisects angle AOB, and ray OD bisects angle AOC.
Net of a cube showing faces labeled with characters. The layout is a cross shape where [你], [前], [程] are horizontal, [祝] is above [前], and [似], [锦] are below [你] and [前] respectively. Given '似' is Front, '锦' is Right, '程' is Bottom.
Net of a cube showing faces labeled with characters. The layout is a cross shape where [你], [前], [程] are horizontal, [祝] is above [前], and [似], [锦] are below [你] and [前] respectively. Given '似' is Front, '锦' is Right, '程' is Bottom.

二、选择题

  1. 下列各图中,分别画有直线 AB ,线段 MN ,射线 DC ,其中所给的两条线有交点的是( )
Four diagrams (A, B, C, D) showing combinations of geometric figures. Diagram A shows intersecting Line AB and Ray MN. Diagram B shows non-intersecting Line AB and Ray DC. Diagram C shows non-intersecting Ray DC and Segment MN. Diagram D shows non-intersecting Line AB and Ray MN.
Four diagrams (A, B, C, D) showing combinations of geometric figures. Diagram A shows intersecting Line AB and Ray MN. Diagram B shows non-intersecting Line AB and Ray DC. Diagram C shows non-intersecting Ray DC and Segment MN. Diagram D shows non-intersecting Line AB and Ray MN.
  1. 如果在一条直线上得到10条不同的线段,那么在这条直线上至少要选用( )个不同的点.

    A. 20 B. 10 C. 7 D. 5

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