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IB MAI HL Functions Topic 2.1 Linear Equations & Graphs (id: 6ecfcccd1)

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admin 发表于 2024-2-6 14:37:39 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Functions Topic 2.1 Linear Equations & Graphs,类别为 IB数学

[填空题]
The equation of the lin*d4xvydh4bbm0ho0 k i/bv,)sf,8l8+(2u;jrmzujrk- r1go 3ok zr bve $L_1$​ is 3y−x−5=0. The line $L_1$ is shown on the diagram below.

The point K has coordinates(4,3). The point T has coordinates (2,−3). The point M is the midpoint of [TK].
1.lculate the coordinates of the point M. (a,b) a=   b=  
2.Show that the point K lies on the line $L_1$​.
3.lculate the length of [TK]. TK ≈   
The line $L_2$​ passes through the point M and is perpendicular to $L_1$​.
4.Find the gradient of the line $L_2$. gradients is   
5.Find the equation of $L_2$​. Give your answer in the form ax+by+d=0, where a,b and d are integers.
The point N is the intersection of $L_1$​ and $L_2$. ax+by+c=0 a =    b =    c =   
6.lculate the coordinates of N. (a,b) a=   b=  







参考答案:
空格1: 3空格2: 0空格3: 6.32±2%空格4: -3±2%空格5: 3空格6: 1空格7: −9空格8: ​2.2空格9: 2.4


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