Current location - Training Enrollment Network - Mathematics courses - Challenge senior three mathematics-several math problems. Thank you! ?
Challenge senior three mathematics-several math problems. Thank you! ?
1.a is the exponent of x.

2. When y = 0, the coordinates of the two straight lines are (-3/5,0), which means that the two straight lines have a common point, both on the X axis.

When x=0, the coordinates of the two straight lines are (0,5/4) (0,5/4) respectively. These two points are symmetrical about x axis.

3. Let the straight line parallel to the straight line 12x-5y+3=0 be 12x-5y+c=0. The distance from the point (0, c/5) to the known straight line is:

4=| 12*0-5*(c/5)+3|/sqrt( 12^2+5^2)

4 = | c+3 |/Sqrt( 169)= | c+3 |/ 13

4* 13=|c+3| 52=|c+3|

So c=49, c=-55.

Then the linear equation is:

12x-5y+49=0。

12x-5y-55=0。 , 5,2. The slope is multiplied by-1, 2, and al in halo is 1. That is y = a * (lnx)+b.

2. replace y with -y to get.

3. Let the linear equation become

12x-5y+a=0

Take a point A from12x-5y+3 = 0 (-1/4,0).

The distance from a to 12x-5y+a=0 is 4.

According to the distance formula

┃- 1/4* 12+a┃/√( 12^2+5^2)=4

arrange

┃-3+a┃=4/ 13

A=43 ..., 2, y=aln x+b a times ln x.

Axisymmetry about x means that for the same x value, the y values of two straight lines are opposite. 2. Multiple-choice questions: This big question * * 12 small questions, with 5 points for each small question and * * 60 points. Of the four options given in each question, only one meets the requirements of the topic. ?

1. Let the complete set be I, pt = s.

TS=I (B)P=T=S (C)T=I (D)P=I

2. If I=Z, M= and S=, then M is.

(A) (B)

(C) (D)

3. If f(x)=(x+|x|), f (f (x)) is

, 1, challenge senior three mathematics-several math problems. Thank you!

Example of application of 1. function: What does al mean in y=aln x+b?

2. If the straight line L and the straight line 3x-4y+5=0 are symmetrical about X, then the equation of the straight line L is 3x+4y+5=0 (I don't understand why? )

3. What is the equation that a straight line is parallel to the straight line 12x-5y+3=0 and the distance is equal to 4? (Please write down the detailed process) Thank you!