Task 1 · easy
Distance of points
Calculate the distance of A = ((1,2), B= ((4,6)).
Hint and solution →Original practice tasks · Math · High school . Class 2
Analytical geometry — tasks with solutions
Start with the easier exercises and work your way up. Every task has a hint and a full step-by-step solution — try it on your own first, then unlock the solution and compare.
Easy
9
Medium
8
Hard
3
Task 2 · easy
The centre of the segment
Select the centre of section A= ((-2,5), B= ((6,-1).
Hint and solution →Task 3 · easy
Direction indicator
Calculate the linear slope by A= ((-1,2), B= ((3,10).
Hint and solution →Task 4 · easy
Straight from the point and tilt
Select a straight equation with a directional factor of 3 passing through (2,-1).
Hint and solution →Task 5 · medium
Straight through two points
Select a straight equation by (1.2) and (3.6).
Hint and solution →Task 6 · medium
General straight form
The simple factor has a factor of -1/2 and passes through (2,-1). Save it in general form.
Hint and solution →Task 7 · easy
Vertical straight
Write down the vertical straight equation passing through point (-4,7).
Hint and solution →Task 8 · medium
Straight parallel
Select a parallel line to y=2x-5 passing through (3,4).
Hint and solution →Task 9 · medium
Diagnosis of parallel lines
Specify the position of the simple y=3x+1 and 6x-2y+4=0.
Hint and solution →Task 10 · medium
Straight cut point
Find the intersection point y=2x+1 and y=-x+7.
Hint and solution →Task 11 · medium
Simple overlapping
Define the position of the two-by-three-zero and four-two-y-six-zero.
Hint and solution →Task 12 · easy
Circuit equation
Write the equation of the circle in the middle (2,-3) and radius 5.
Hint and solution →Task 13 · hard
Measure and radius of the equation
The circle x2+y2-6x+4y-12=0 is given. Set the center and radius.
Hint and solution →Task 14 · medium
Checking the point in the circle
See if P= ((4,-1) is in the circle (x-1)2+ ((y+2)2)2=10.
Hint and solution →Task 15 · easy
Symmetry with respect to OX
Mark the point image (3,-5) in symmetry with the OX axis.
Hint and solution →Task 16 · easy
Symmetry with respect to OY
Select the point image (3,-5) in symmetry with the OY axis.
Hint and solution →Task 17 · easy
Symmetry to start
Select the image of the point (3,-5) in the centre symmetry relative to the beginning.
Hint and solution →Task 18 · hard
Enlarged Bridge
Expansion range: set a line perpendicular to y=1/2x+3 passing through (2.1).
Hint and solution →Task 19 · hard
Bridge extended
Extended range: find common points y=0 and x2+y2=25.
Hint and solution →Task 20 · medium
Cut-off sections by straight
For the 3x+2y-12=0 line, determine the intersection points with the OX and OY axes.
Hint and solution →Karta pracy do druku
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Otwórz kartę pracy →After the tasks
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