Is the definite integral of inverse proportional function from 0 to 1 positive infinity? Why does the Geometer's Sketchpad show 11 / 3 of the answer?

Geometer's Sketchpad is approximate, that is, take many points from 0 to 1 to calculate their function values and add them up
So when we encounter this kind of abnormal integral, we will make a mistake, because it involves the limit problem

I use the Geometer's Sketchpad to draw an arc on a circle. It's a little difficult
I want to use the Geometer's Sketchpad to draw an arc on a circle, but I can only draw the part of the inferior arc. I want to draw the part of the superior arc. Should I draw it like this?

First draw the circle, then select the two ends of the arc you want to draw on the circle (note that you should select it in the counterclockwise direction), and then use "construction"

Excuse me, I have measured the length of a line segment in the Geometer's Sketchpad, but I want to hide the unit and only show the number,
Because pulling a line segment, its length will change, but it doesn't need that unit. For example, a = 2.0 is directly displayed

Then create a calculation, calculate the measure value △ 1cm, and the result is that only the number of the measure is retained, and the unit is gone. Hide the result of the measure, and the calculated value will replace the measure value. You can change the label

How many points can determine an ellipse? Given these points, how to make an ellipse on the Geometer's Sketchpad?
Note that the major axis of the ellipse is not necessarily horizontal or vertical

At least three major axes are horizontal or vertical
Other words, at least 5

How to construct tracks in Geometer's Sketchpad
In the Geometer's Sketchpad, how to determine a fixed point and how to create a trajectory: the midpoint trajectory of a point a and any point B on circle O:
Construct line segment AB, construct midpoint m of line segment
Then circle O is the range, a is the active point and M is the passive point
Select point a and point m to construct the trajectory
But what I do is always round and moving

1. First draw a circle, draw a point a on the circle;
2. Draw any point B, select only two points a and B, and construct line segment with "Ctrl + L";
3. The middle point m of AB is constructed by Ctrl + M;
4. Select only midpoint A and m, and "construct" and "track"
It's over. Where's the "move"?
Welcome to inquire immediately

How to draw two 3:2 straight lines with the Geometer's Sketchpad

First, draw a line segment and divide it into three equal parts (transform → zoom). Then, select two endpoints except the center (the flashing point is the center when the point is zoomed), measure → distance, and then build another point C, transform → translation. The angle is arbitrary and the length is the distance just measured. Then, draw a circle with C as the center and D as the radius. Connect C and circle with line segment, That's what you want

In the Geometer's Sketchpad, how to make a line segment equal to the radius of a circle, and change the length of the line segment, the radius of the circle also changes

Draw a line segment and a point. Select a line segment and a point, construct - draw circle with center and radius

How to draw inscribed regular hexagon of circle in Geometer's Sketchpad

1. Take any point a on the circle
2. Double click the center of the circle, then select point a, point "transform → rotate", enter 60 ° and point "OK" to get point B
3. Link ab
4. Create a new parameter n = 5, select points a and N, (pay attention to the order). Then click "transform" and hold down the "shift" key at the same time. This means that "iteration" becomes "deep iteration". Click "deep iteration", and then click "point B" to confirm
5. Finish
If you need, please come to me

How can Geometer's Sketchpad find the third, sixth and twelfth equinox of a circle?

1. Double click the center of the circle, and then take any point a in the circle
2. Select point a, click the transform menu, and choose rotate , fill in 120 ° under "fixed angle" of "rotation parameters" in the pop-up window, and then click OK to get a trisection point a '
3. Continue the second step with a 'and get a“
Then a, a 'and a "divide the circle into three equal parts
If you want six equal parts, you only need to fill in 60 ° in the "fixed angle" above and operate for 5 times; if you want twelve equal parts, you need to fill in 30 ° and operate for 11 times
Generally, N equal parts only need to fill in 360 ° / n

Make a vertical line from a vertex of a triangle to its opposite side. The line between the vertex and the perpendicular foot is called the triangle's () and the opposite side is called the triangle's
Make a vertical line from a vertex of a triangle to its opposite side. The line between the vertex and the perpendicular foot is called the () of the triangle. The opposite side is called the () of the triangle

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Is the definite integral of inverse proportional function from 0 to 1 positive infinity? Why does the Geometer's Sketchpad show 11 / 3 of the answer?