Find the functional relationship about;
If so, what is the maximum value and what is the maximum value?
If, to make it an isosceles triangle, what should be the value of?
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Using complementary relation to find the angle equation, it is proved that the function relation is found according to the ratio equation of the corresponding side;
Substitute the value of into the function relationship, and then find the maximum value of the quadratic function;
Only at this time, it is an isosceles triangle, so you can substitute conditions.
,
,
Say it again,
,
, that is, solution;
, so the maximum at that time was;
Only then is it an isosceles triangle,
At this point, solve the equation and get, or,
Besides,
It doesn't matter, give it up,
At that time,
In this problem, similar triangles is associated with solving quadratic resolution function. In the process of solving problems, make full use of the ratio of similar triangles's corresponding sides to establish a functional relationship.
Examination source:
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As shown in the figure, in the parallelogram, the height on the side of, is a moving point on the side (not coincident with,,). A vertical line passing through a straight line has a vertical foot. The extension line of. Intersect, connect,.
Verification:;
When a point moves on a line segment, what is the relationship between it and its perimeter? And explain your reasons;
Suppose that the area of is, please find out the functional relationship between and, and find out what the value is and what the maximum value is.
Difficulty:
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As shown in the figure, on a rectangular piece of paper,,, is a dot. Fold the paper along the edge so that this point coincides with the point on the edge.
Find the length of the line segment;
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As shown in the figure, in a right-angled trapezoid,,,,
A point is a moving point on a plane (not coincident with it), which passes through it and intersects it (coincident with it when moving). Fold the edge in half, and the point corresponding to the point is a point. Let's assume that the area of the overlapping part with the trapezoid is.
Find the length and the degree;
If the point is just above, find the value at this time;
Find the functional relationship between and. What is the maximum value of when evaluating? What is the maximum value?
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As shown in the figure, in,,, a point is a midpoint, a point is a fixed point on an edge, a point is a fixed point on a ray, and.
At that time, the connection and calculation of cotangent value;
When the point is on the line segment, set,, find the functional relationship about, and write the value range of;
If the connection is an isosceles triangle, find the length.
Difficulty:
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As shown in the figure, in a right-angled trapezoid,,,,, are line segments, and the moving points on them (the points are not coincident) and, let,.
Verification:;
Sum the function relationship and write the definition domain;
If the point is an isosceles triangle when moving on the edge, the value of;
If the sum of radii is considered as the tangent of radius, the area.
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