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18.2二次根式的运算
课内练习
A组
1.判断题(对的打“∨”,错的打“×”)
(1)HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ×HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =2HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ×HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ( );
(2)HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ÷HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =1 ( )
(3)HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ×HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =6HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ( );
(4)HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =20( )
2.计算:HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ×HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =_______;3.计算:HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =_______;4.计算:HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =________.
5.计算:HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ×HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =_______;6.计算:HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ×HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =________.
7.计算:HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =________.
8.下列各式正确的是( )
A.已知ab>0,则HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ·HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ;B.2HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ×3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =(2×3)HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =5HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
C.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 D.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ÷HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
9.计算:HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 (HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 -HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 )=________;10.计算:-HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ÷HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =_______.
11.一个三角形的面积为2HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ,若它的一条边上的高为HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ,求这条边长.
B组
12.解方程:-2HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 .
13.已知等腰三角形的腰长为HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 cm,底边为2HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 cm,求它的面积.
14.比较两个实数大小:-9HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 与-10HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 .
15.计算:HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 .
16.如图,△ABC中,∠ACB=Rt∠,AB=HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ,BC=HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ,求斜边AB上的高CD.
( http: / / www.21cnjy.com / )
课外练习
A组
1.填空:
(1)3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ·HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =________;(2)9÷HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =________;(3)(HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 -HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 )÷HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =________;
(4)4HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ÷2HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =_______;(5)2HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ÷(-3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 )=________.
2.下列各式计算正确的是( )
A.2HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ·3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =6HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 B.3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ·3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
C.3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ·2HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =3×2×5=30 D.3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ·5HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =8HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
3.已知a=1-HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ,b=1+HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ,则a2+ab+b2的值 ( )
A.3 B.5 C.6 D.7
4.计算:(1)3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ·(-HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ); (2)6HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ÷HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ;
(3)3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ×(-HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 )÷3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 .
5.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ×HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =________; 6.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =________; 7.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ÷HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =________.
8.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ×HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =________; 9.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =________.
10.已知等边三角形的边长为4HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ,求它的高.
B组
11.解方程:HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 x=-1.
12.化简HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =________.
13.当x=HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 -3时,求代数式x2+6x+9的值.
14.计算:HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 .
15.如图,已知△ABC中,∠ABC=Rt∠,AB=2,BC=1,AD=AB,求HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 的值.
( http: / / www.21cnjy.com / )
参考答案
【课内练习】
1.(1)× (2)× (3)× (4)×
2.3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 3.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 4.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 5.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
6.2 000HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 7.2HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 8.D 9.3-HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
10.-HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 11.2HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 12.x=-HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 13.6HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 cm2
14.-9HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 >-10HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 15.2-HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
16.可以求得AC=HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 ,∴CD=HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 (利用面积法)
【课外练习】
1.(1)42 (2)3HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 (3)HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 -3 (4)HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 (5)-HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
2.C 3.B
4.(1)-9HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 (2)4HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 (3)-HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
5.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 6.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
7.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 8.8×103 9.0.02 10.6 11.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
12.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 当x>0时为1,当x<0时为-1
13.(x+3)2=(HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 )2=7
14.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 -HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
15.HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 =HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4 HYPERLINK "http://www.21cnjy.com/" EMBED Equation.DSMT4
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