Math problem solution, on the day, math problem, immediately

Trucks can pass through the tunnel because the tunnel is meters high and wide.

The truck is only 3 meters high and 3 meters wide.

m, m3m.

So, trucks can pass through the tunnel

The equation for a circle is x 2 + y 2 =

Bring in x=, solve y=>, and you can pass.

The distance from one of the corners above the car to the top of the tunnel from the center of the low car to the top of the tunnel is.

is less than. It is calculated by the Pythagorean theorem.

...Hug the Lord, which one of you can read this picture?

Forget it, I'll take it back, someone really understands...

Keep going, and don't give up when you see the trouble of calculating the scores.

Since it is a subtraction function, then in this interval f(1) is the largest and f(2) is the smallest, and the range is [f(2),f(1)] (self-calculated).

g(x)=a 2 +f(x) 0, a 2 -f(1), and the range of a can be solved.

The one who copied the top student is safer than you.

Not letting the proof is actually very simple, we know that it is a true proposition.

The p-figure is a diamond.

q The diagonal lines are perpendicular to each other.

1. The original proposition If p then q is true.

2. Inverse proposition: If q then p must be false The diagonal of the square is also perpendicular 3. No proposition If q then p, it can be timed false.

4. The inverse negative proposition If q, then p is needless to say that it is also false, otherwise this symbol is

"If p then q" form: "If a quadrilateral is a diamond, then its diagonals are perpendicular to each other" then the original proposition is correct according to the nature of the diamond

The inverse proposition: "If the diagonals of a quadrilateral are perpendicular to each other, then it is a diamond", according to the judgment of the diamond, it should be a parallelogram with diagonals perpendicular to each other, so it is a false proposition

Negative proposition: "If a quadrilateral is not a diamond, then its diagonal is not perpendicular", because the negative proposition and the inverse proposition are inverse negative propositions to each other, so when the inverse proposition is false, the negative proposition is also a false proposition

Inverse negative proposition: "If the diagonal of a quadrilateral is not perpendicular, it is not a diamond", if the original proposition is true, then the inverse negative proposition is also true

They are:

If the quadrilateral is diamond-shaped, its diagonals are perpendicular to each other.

The diagonal lines perpendicular to each other are diamonds.

The diagonal lines of the diamond are not perpendicular to each other.

If the diagonals are not perpendicular to each other, they are not diamond-shaped.

The truth and falsity of these propositions are true and false respectively.

(2) Let m(x1,y1),n(x2,y2), the equation between the simultaneous line x+2y 4=0 and the circle x2+y2 2x 4y+m=0, and eliminate y, obtain: 5x2 8x+4m 16=0, which is obtained by Veda's theorem

x1+x2+,x1*x2=(4m-16) 5, and y=(4-x) 2 from x+2y 4=0, x1x2+y1y2=0,x1x2+y1y2=x1*x2+

Note: Since fractions tend to look messy, all fractions are replaced with decimals.