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北师大版数学六年级下册第三章第二节图形的旋转(二)同步练习
1. 填空
1. 圆是轴对称图形,它有 条对称轴。在我们学习认识过的平面图形中,是轴对称图形的还有 。
答案:无数|正方形、长方形、等腰三角形、等边三角形等
解析:解答:圆是轴对称图形,它有无数条对称轴。分析:本题考查平面图形包括圆的对称性。学生熟练掌握相关性质。
2.图形(1)是以点 为中心旋转的;图形(2)是以点 为中心旋转的;图形(3)是以点 为中心旋转的。
INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222590066.png" \* MERGEFORMATINET
答案:B|A|D
解析:解答:图形(1)是以点B为中心旋转的;图形(2)是以点A为中心旋转的;图形(3)是以点D为中心旋转的。分析:把一个图形绕着某一点转动一定角度的图形变换叫做旋转。观察图形可知,B,A,D在旋转过程中没有动,也就是旋转过程中的中心点。依据图形旋转的知识看图填空。
3.观察图形,填写空格。
INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222599937.png" \* MERGEFORMATINET
1 号图形是绕A点按 时针方向旋转了 ;
2 号图形是绕 点按顺时针方向旋转了 ;
3 号图形是绕 点按 时针方向旋转了90°;
4 号图形是绕 点按 时针方向旋转了 。
答案:顺|90|B|90|C|逆|D|顺|90°
解析:解答:①号图形是绕A点按顺时针方向旋转了90°;②号图形是绕B点按顺时针方向旋转了90°;③号图形是绕C点按逆时针方向旋转了90°;④号图形是绕D点按顺时针方向旋转了90°。分析:根据图形旋转的特征,一个图形绕某点顺时针(或逆时针)旋转一定的度数,某个点的位置不动,其余各点(边)均绕某个点按相同的方向旋转了相同的度数。通过仔细观察,依据图形旋转的中心、方向和角度这三个关键答题。
4、图形一通过 的变换可以得到图二。
答案:旋转
解析:解答:图形一通过旋转的变换可以得到图二分析:在明确旋转意义的前提下,培养学生观察图形的能力和灵活运用所学知识解决问题的能力。此题考察综合运用图形旋转的知识答题。
5、将一个三角形按2:1的比放大后,面积是原来的 倍。
答案:4
解析:解答:如果一个图形按2:1放大,图形的周长将扩大2倍,面积将扩大4倍。
分析:此题考察放大与缩小,指新图形与原图形的比。
6、下图中,将图中A平移到图B位置。需要将图A向 平移 格。
答案:右|4
解析:解答:将图中A平移到图B位置。需要将图A向右平移4格。分析:此题考察平移的相关知识,平移有两个要素:方向和格数。
7、你知道方格纸上图形的位置关系吗?
①图形B可以看作图形A绕点 顺时针旋转90°得到的。
②图形C可以看作图形A绕点O顺时针旋转 °得到的。
③图形B绕点O逆时针旋转180°到 图形所在位置。
④图形A可以看作图形D绕点O逆时针旋转 °得到的。
答案:O|180|D|90
解析:解答:①图形B可以看作图形A绕点O顺时针旋转90°得到的。②图形C可以看作图形A绕点O顺时针旋转180°得到的。③图形B绕点O逆时针旋转180°到图形D所在位置。④图形A可以看作图形D绕点O逆时针旋转90°得到的。分析:在明确旋转意义的前提下,培养学生观察图形的能力和灵活运用所学知识解决问题的能力。此题考察综合运用图形旋转的知识答题。
8、正方形绕中心点旋转 度与原来的图形重合,旋转一周可以重合 次。
答案:90|4
解析:解答:正方形绕中心点旋转90度与原来的图形重合,旋转一周可以重合4次。分析:此题考察旋转的相关知识。
9、在推导平面图形的面积公式时,用到平移或旋转的有
答案:圆,三角形,平行四边形,梯形,圆等
解析:解答:在推导平面图形的面积公式时,用到平移或旋转的有圆,三角形,平行四边形,梯形,圆等。分析:此题考察旋转平移在数学面积推导中的应用。
二、选择
10、将下面的图案绕点“O”按顺时针方向旋转90°,得到的图案是( )。
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A. INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET
B. INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET
C. INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET
D. INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222591028.png" \* MERGEFORMATINET
答案:B
解析:解答:本题中的图案绕“O”点按顺时针方向旋转90°后得到的图案应是选项B表示的图形。分析:根据旋转的性质,图形旋转变化前后,对应点到旋转中心的距离相等以及每一对对应点与旋转中心连线所构成的旋转角相等。此题考查将简单图形绕某一点旋转一定的度数。
11、由图形(1)不能变为图形(2)的方法是( )。
INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597277.png" \* MERGEFORMATINET
A.图形(1)绕“O”点逆时针方向旋转90°得到图形(2)
B.图形(1)绕“O”点顺时针方向旋转90°得到图形(2)
C.图形(1)绕“O”点逆时针方向旋转270°得到图形(2)
D.以线段OP所在的直线为对称轴画图形(1)的轴对称图形得到图形(2)
答案:A
解析:解答:根据图形旋转的方法,将图形(1)绕“O”点按顺时针方向旋转90°即可得图形2,也可以说成将图形(1)绕“O”点按逆时针方向旋转270°后得到图形(2);利用轴对称图形的性质可得,图形(1)与图形(2)是关于线段OP所在直线对称的图形。分析:图形的变换可以采用不同的变换方式。此题考查图形的旋转;轴对称图形的知识。
12.下列图形中,不是是轴对称图形的是( )。
A.平行四边形 B.圆环 C.半圆 D.等腰梯形
答案:A
解析:解答:是轴对称图形的是沿着一条直线对折后,两部分完全重合,这个图形就是轴对称图形。不是是轴对称图形的是平行四边形。分析:圆环有无数条对称轴,半圆和等腰梯形有一条。此题考查图形的轴对称的知识。
13.下列各图形面积计算公式的推导过程中,没有用到平移或旋转的是( )。
A.三角形 B.长方形 C.圆 D.平行四边形
答案:B
解析:解答:在图形面积计算公式的推导过程中,没有用到平移或旋转的是长方形,用到的是数格子的推导方法。分析:平行四边形,三角形,梯形。圆都用到了平移或旋转。
14.下列各组图形,只通过平移或旋转,不能形成长方形的是( )
A.
B.
C.
D.
答案:C
解析:解答:选C。分析:A可以绕两个三角形的交点顺时针旋转180度,B先向上平移一格,再绕两个图形的相交点逆时针旋转90度,D可以把右下的图形先向上平移4格,再向左平移5格,左下的图形先向上平移4格,再向右平移5格就得到了长方形。
三、判断
15.移、旋转、放大与缩小都不改变图形的形状和大小。
答案:错误
解析:解答:、平移、旋转、放大与缩小都不改变图形的形状,放大与缩小要改变图形的大小。分析:本题考查几种变换方式的特点。
16.个50。的角,将它的一条边旋转40。可得到一个直角。
答案:正确
解析:解答:、一个50。的角,将它的一条边旋转40。可得到一个直角。分析:直角就是90度角,只需要一条边绕角的顶点旋转:90-50=40(度)就行了。
17.方形有4条对称轴;等边三角形有1条对称轴;圆有无数条对称轴。
答案:错误
解析:解答:正方形有4条对称轴;等边三角形有3条对称轴;圆有无数条对称轴。分析:本题考查平面图形包括圆的对称性及对称轴的条数。学生熟练掌握对称的相关知识。
18.行车的车轮转了一圈又一圈是旋转现象。
答案:正确
解析:解答:自行车的车轮转了一圈又一圈是旋转现象。分析:此题考察理解旋转的相关知识对生活中的实例进行判断。
19. 一个平行四边形木框拉成一个长方形后、周长不变,面积不变。
答案:错误
解析:解答:将一个平行四边形木框拉成一个长方形后、周长不变,面积变大。分析:木框的长度不变,所以周长不变,但是由平行四边形变成长方形,高变大了,面积也变大了。
四、想一想,画一画。
20.观察下图,是怎样从图形A得到图形B的?
INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222595783.png" \* MERGEFORMATINET
答案:以旗杆的下端为中心,先把图形A逆时针旋转了90°,再向右平移10格得到图形B。
解析:解答:以旗杆的下端为中心,先把图形A逆时针旋转了90°,再向右平移10格得到图形B。分析:观察图形可知,小棋的形状、大小没有变,只是位置发生了变化。由旋转和平移的性质可知此图是通过旋转和平移的方式得到的。此题考查图形的旋转;平移图形的知识。
21.观察图形并说说风车图形是怎样形成的?
INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET INCLUDEPICTURE "http://www..cn/xxsx/xxsxxs/xstblx/xs3bkb_1_1_2/201504/W020150415380222597469.png" \* MERGEFORMATINET
答案:图1绕点“O”逆时针旋转90°到达图2的位置,连续旋转3次。(答案不唯一)
解析:解答:图1绕点“O”逆时针旋转90°到达图2的位置,连续旋转3次。分析:在明确旋转意义的前提下,培养学生观察图形的能力和灵活运用所学知识解决问题的能力。此题考察综合运用图形旋转的知识答题。
22.说出三角形AOB绕点O 顺时针旋转90°后的图形。
答案:见解析
解析:解答:如图。分析:此题考察利用图形的平移、旋转的知识画图。关键是找到对应边和对应点。根据旋转的性质,将图形A、B与点“O”相连的两条边分别顺时针旋转90°,由此即可确定这个图形的位置,画出图形B。
23.说出三角形AOB绕点0点逆时针旋转90°后的图形
答案:右上
解析:解答:如图。分析:此题考察利用图形的平移、旋转的知识画图。关键是找到对应边和对应点。根据旋转的性质,将图形A\B与点“O”相连的两条边分别顺时针旋转90°,由此即可确定这个图形的位置,画出图形.
24. 图A绕“O”点按顺时针方向旋转90°后,得到图形B;再将图形B向右平移5格,得到图形C。在图中画出图形B与图形C。
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答案:右上
解析:解答:如图。分析:此题考察利用图形的平移、旋转的知识画图。关键是找到对应边和对应点。根据旋转的性质,将图形A与点“O”相连的两条边分别顺时针旋转90°,由此即可确定这个图形的位置,画出图形B;根据平移的性质,把图形B的四个顶点分别向右平移5格,再依次连接即可得到图形C。
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