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If we know that the vector a = (root 3 * cosx, 0), B = (0, SiNx), the square of the function f (x) = (a + b) + root 3 * sin2x, then if the image of the function is translated according to the vector D, The obtained image is centrosymmetric with respect to the origin, and increases monotonically on [0, π / 4]. Find the vector D with the smallest length,
The function is reduced to f (x) = 2Sin (2x + π / 6) + 2
According to the vector (π / 12, - 2), the moving distance is the smallest, d = under the root sign (π & # 178 / 144 + 4)
(the result is so awkward ~)
Given that an acute angle of a right triangle is 60 ° and the length of the hypotenuse is 1, then the perimeter of the right triangle is ()
A. 3B. 3C. 3+2D. 3+32
As shown in the figure, in RT △ ABC, ∠ B = 60 °, ab = 1, then ∠ a = 90 ° - 60 ° = 30 °, so BC = 12ab = 12 × 1 = 12, AC = AB2 − BC2 = 12 − (12) 2 = 32, so the perimeter of the triangle is 3 + 32
(with graph) points D and E are on the sides AB and BC of triangle ABC respectively. Please find a point P on AC to minimize the perimeter of triangle Dep
Please write down the practice
I've thought about this method on the first floor. Please give me the reasons
1. Make the symmetric point m of point e with respect to AC
2. Connect DM to AC at point P
Then point P is the point
In this case, the perimeter of △ dep is the shortest
The de length is fixed, as long as EP + DP is minimum
You can take any Q in AC, then DP + EP
As shown in the figure, it is known that △ ABC, points D and E are on AB and BC respectively. Please make a point P on AC to minimize the perimeter of △ dep. (keep the trace of drawing)
As shown in the figure: make the symmetric point F of point d with respect to AC, connect EF, and the intersection point with AC is the calculated point P. suppose that Q is the calculated point, does not coincide with point P, and connects QD, QE, QF, QE + QF > ef (that is: EP + PD), so point P is the calculated point
RELATED INFORMATIONS
- 1. In the triangle ABC, there are two points D and E in AB and BC respectively. Take a point P in AC. if the perimeter of the triangle dep is the shortest, how can p be determined?
- 2. In the triangle ABC, if the angle a = 60 degrees and BC = 3, then the perimeter of the triangle ABC is?
- 3. The perimeter of triangle ABC is 363cm, where AB = 75, BC = 1 / 3, 27
- 4. If the degree ratio of the three internal angles of a triangle is 2:3:4, then it is a acute triangle B obtuse triangle C right triangle D obtuse angle or right triangle
- 5. There are six points on a circle, how many line segments? How many triangles?
- 6. Is sector an axisymmetric figure?
- 7. What's the most beautiful number from 0 to 9? Please 3Q No matter from the visual and elegant point of view, layman free!
- 8. If you want to draw a figure after translation, you must know______ And______ ．
- 9. Put the diamond in the square, please use the translation method to design the pattern, and draw it below
- 10. A rectangular vegetable field is 100 meters long and 90 meters wide. How many centimeters should we draw it on a drawing with a scale of 1000 / 1?
- 11. Let the rank of vector group A1, A2. Am be r, then any r linearly independent vectors in A1, A2,. Am constitute its maximal linearly independent group
- 12. In isosceles △ ABC, ab = AC, AC side midline BD divides the circumference of triangle into 12cm and 18cm, and calculates the waist length and bottom length of isosceles △ ABC
- 13. If the two sides of the triangle are 3cm and 8cm in length, and the perimeter is even, what is the perimeter?
- 14. The length of the base of an isosceles triangle is 10 cm. If the difference between the two parts is 3 cm, the waist length is 10 cm______ ．
- 15. The circumference of an isosceles triangle is 10 cm. First, the difference between the two parts divided by the middle line on the triangle is 6 cm
- 16. It is known that the perimeter of a triangle is 1, its three median lines form the second triangle, and the median line of the second triangle forms the third triangle Third day on the mathematical problems, we help Ha, ha, thank you~~ Given that the perimeter of a triangle is 1, its three median lines form the second triangle, and the median line of the second triangle forms the third triangle, and so on, find the perimeter of the 2010 triangle
- 17. As shown in the figure, the perimeter of the first triangle is known to be 1, its three median lines form the second triangle, and the three median lines of the second triangle form the third triangle, and so on. The perimeter of the first triangle is 1________ .
- 18. It is known that the ratio of three median lines of triangle is 3:5:6, and the perimeter of triangle is 112cm
- 19. If the lengths of the three median lines of a triangle are 3, 4 and 5, then the circumference of the triangle is 3______ ．
- 20. Given that the lengths of each side of a triangle are 8 cm, 10 cm and 12 cm respectively, the perimeter of the triangle with the midpoint of each side as the vertex is 0______ cm．