Gsp Description- Real

8/4/2019 Gsp Description- Real

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STEP 1

(Midpoint of the segment)

1. Click straightedge tool to construct a segment2. Select the segment

3. Click construct menu and select mid point


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STEP 2

(Point on segment)

1. Select the segment once again.

2. Click construct menu and select point on segment


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STEP 3

(Ratio)

1. Select the point according to this sequence

(Point A to point B to point C)

2. Click measure menu and select ratio


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STEP 4

(Ratio ranging -10 to 10)

1. Click measure menu and select calculate.

2. Click the ratio (in pink box) the value automatically key in.

3. Times the ratio with 10 and click ok


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STEP 5

(Changes the label)

1. Click the ratio that times by 10 just now (in pink box)

2. Right click the ratio and click properties

3. In label type A (name of your parameter)

4. Follow step 1-5 and construct the other parameter of B Cand D.


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STEP 6

(Plot the function)

1. Click graph menu and select plot new function

2. Click the value of A B C and D

3. Key in the data according to the function given


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THE RESULT

(Polynomial Graph)


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STEP 1

(Construct point P and Q)

1. Click point tools and put the two points at any place along on the

graph function.

2. Select the two points and click construct menu and select line.

3. Label the two points as P and Q


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STEP 2

(Slope of secant line PQ)

1. Click the secant line PQ

2. Click measure menu and select slope


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STEP 1

(Construct tangent at point P)

1. Click point Q

2. Drag point Q to point P

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A

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P


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THE RESULT

(The tangent of a curve at point P)

When point Q approaching point P we can get the tangent at point P


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STEP 1

(Plot points S)

1. Click point P2. Click measure menu and select abscissa (x) to get the value of x-

coordinate of P


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1. Click (x) coordinate of P just now and the slope of PQ2. Click graph menu and select Plot As (x, y)


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THE RESULT

(The Point S)


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STEP 2

(Trace point S)

1. Derive the function

2. Click graph menu and select derivative3. Plot the function


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1. Select point S2. Click display menu and select trace plotted point


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1. Click point PQ and animate points


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THE RESULT

(Trace of S from the graph)

When point Q approaching point P where tangent at point P the point S will

be gradually on the derivative function obtained from plotting the graph of.


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STEP 1

(Derive the function)

1. Select the function graph2. Click graph menu and select derivative.


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THE RESULT

(Graph f and f)


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() () () ()

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()

() ()

()

()

()

Slope +ve Slope ve

() () () () () ()

Maximum Minimum

Gsp Description- Real

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Transcript of Gsp Description- Real