《軸對(duì)稱的基本性質(zhì)》PPT課件2
復(fù)習(xí)鞏固1:
1.軸對(duì)稱的性質(zhì):
(1)成軸對(duì)稱的兩個(gè)圖形中,對(duì)應(yīng)點(diǎn)的連線被對(duì)稱軸垂直平分,
(2)成軸對(duì)稱的兩個(gè)圖形全等.
(3)對(duì)應(yīng)線段相等,對(duì)應(yīng)角相等。
(4)成軸對(duì)稱的兩個(gè)圖形中,對(duì)稱線段所在直線的交點(diǎn)在對(duì)稱軸上或?qū)ΨQ線段所在直線互相平行。
(5)成軸對(duì)稱的兩個(gè)圖形中,對(duì)稱點(diǎn)的連線互相平行或在同一條直線上.
復(fù)習(xí)鞏固2:
2.畫一個(gè)多邊形關(guān)于一條直線的軸對(duì)稱圖形的步驟:
(1).畫出圖形中關(guān)鍵點(diǎn)的對(duì)稱點(diǎn),
(2).順次連接各對(duì)稱點(diǎn)。
注意:要保留虛線。
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合作交流
1.如圖,平面直角坐標(biāo)系中有矩形ABCD:
(1)若點(diǎn)A與點(diǎn)B關(guān)于X軸對(duì)稱,B點(diǎn)的坐標(biāo)是什么?點(diǎn)C與點(diǎn)D關(guān)于X軸對(duì)稱,D點(diǎn)坐標(biāo)是什么呢?
(2)關(guān)于x軸對(duì)稱的點(diǎn)的坐標(biāo)有什么特征?
關(guān)于x軸對(duì)稱的點(diǎn)橫坐標(biāo)相同,縱坐標(biāo)互為相反數(shù)。
歸納:關(guān)于X軸對(duì)稱的點(diǎn)的坐標(biāo)的特點(diǎn)是:橫坐標(biāo)相同,縱坐標(biāo)互為相反數(shù).
(簡(jiǎn)稱:橫同縱反)
練習(xí):
1、點(diǎn)P(-4, 7)與點(diǎn)Q關(guān)于x軸對(duì)稱,則點(diǎn)Q的坐標(biāo)為__________.
2、點(diǎn)M(a, -5)與點(diǎn)N(-2, b)關(guān)于X軸對(duì)稱,則a=_____, b =_____.
... ... ...
(1)點(diǎn)A與點(diǎn)D有什么位置關(guān)系?點(diǎn)B與點(diǎn)C呢?
點(diǎn)A與點(diǎn)D關(guān)于y軸對(duì)稱,點(diǎn)B與點(diǎn)C關(guān)于y軸對(duì)稱;
(2)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)有什么特征?
關(guān)于y軸對(duì)稱的點(diǎn)橫坐標(biāo)互為相反數(shù),縱坐標(biāo)相同。
歸納:關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)的特點(diǎn)是:橫坐標(biāo)互為相反數(shù),縱坐標(biāo)相等.
(簡(jiǎn)稱:橫反縱同)
練習(xí):
1、點(diǎn)P(-5, 6)與點(diǎn)Q關(guān)于y軸對(duì)稱,則點(diǎn)Q的坐標(biāo)為__________.
2、點(diǎn)M(a, -5)與點(diǎn)N(-2, b)關(guān)于y軸對(duì)稱,則a=_____, b =_____.
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新知?dú)w納
“關(guān)于坐標(biāo)軸對(duì)稱的點(diǎn)”的坐標(biāo)特征:
(1) 關(guān)于x軸對(duì)稱的點(diǎn)的坐標(biāo):橫同縱反;
(2) 關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo):橫反縱同。
在直角坐標(biāo)系中,
點(diǎn)(a,b)關(guān)于X軸的對(duì)稱點(diǎn)是(a,-b)
點(diǎn)(a,b)關(guān)于Y軸的對(duì)稱點(diǎn)是(-a,b)
... ... ...
練習(xí):
1、點(diǎn)P(-5, 6)與點(diǎn)Q關(guān)于x軸對(duì)稱,則點(diǎn)Q的坐標(biāo)為__________.
2、點(diǎn)M(a, -5)與點(diǎn)N(-2, b)關(guān)于x軸對(duì)稱,則a=_____, b =_____.
3、點(diǎn)P(-5, 6)與點(diǎn)Q關(guān)于y軸對(duì)稱,則點(diǎn)Q的坐標(biāo)為__________.
4、點(diǎn)M(a, -5)與點(diǎn)N(-2, b)關(guān)于y軸對(duì)稱,則a=_____, b =_____.
5、已知點(diǎn)P(2a+b,-3a)與點(diǎn)Q(8,b+2).
若點(diǎn)p與點(diǎn)Q關(guān)于x軸對(duì)稱,則a=_____ b=_______.
若點(diǎn)p與點(diǎn)Q關(guān)于y軸對(duì)稱,則a=_____ b=_______.
6、將平面直角坐標(biāo)系內(nèi)某個(gè)圖形各個(gè)點(diǎn)的橫坐標(biāo)不變,縱坐標(biāo)都乘以-1,所得圖形與原圖形( A )
A 關(guān)于X軸對(duì)稱. B 關(guān)于Y軸對(duì)稱
C 關(guān)于原點(diǎn)對(duì)稱 D 無(wú)法確定
7、點(diǎn)A(-3,2)與點(diǎn)B(-3,-2)的關(guān)系是(。
A關(guān)于X軸對(duì)稱。玛P(guān)于Y軸對(duì)稱
C關(guān)于原點(diǎn)對(duì)稱。囊陨细黜(xiàng)都不對(duì)
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