1。 The closer the ratio of lower body length to height is to 0.6 18, the more beautiful it will be. A woman's height is 1.65 meters, and the ratio of lower body length x to height I is 0.6. How high heels should she wear to achieve the best results?

2。 Given a line segment AB=2, there is a point C on AB. If BC=3- radical number 5, is point C the golden section of line segment AB? Give reasons

3。 It is known that AB=4, point C is the golden section point of line segment AB, and AC >: BC. Find the values of these numbers.

( 1)AC-BC(2)AB BC(3)AC:BC

Answer: 1, the height of high heels is about x cm; In order to achieve the golden rule

( 165 * 0.6+x)/( 165+x)= 0.6 18

X=7.77cm can be obtained.

2.AC=2-3+ radical number 5= radical number 5- 1, so AC/AB= (radical number 5- 1)/2≈0.6 18, so c is the golden section of AB.

3.c is the golden section of line segment AB, AC >；; 200 BC. Rules

AC/AB=0.6 18, so AC = 2.472；; BC = 4-2.472 = 1.528； So AC-BC=0.944.

AB*BC=6. 1 12，AC:BC= 1.6 17