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Mathematics problems in the ninth grade
9( 1) Parabolic Equation A >: The opening in the 0 direction should not intersect with the X axis.

Then the lowest point function value should be >: 0.

Get the lowest point at the symmetry axis, that is, when x=- 1, y=c- 1/2.

So the value range of c is (1/2, +∞). If you haven't learned infinite symbols, write C >;; 1/2 will do.

(2)y=cx+ 1 because C >;; 0, so the straight line that must pass through the first quadrant goes from the upper right to the lower left.

When x=0, it intersects the Y axis at (0, 1), so it must pass through the second quadrant.

When x=- 1/C, it intersects with the negative semi-axis of the X axis, so it must pass through the third quadrant.

That is, y=cx+ 1 passing 1, 2,3 quadrants.

Pay attention to the judgment law of straight line passing through quadrant

y=kx+b

When b=0, k>0, the straight line passes through one or three quadrants; K<0, through two or four quadrants.

B>0, k>0, a straight line passes through the first, second and third quadrants; K<0, through quadrants one, two, four.

B<0, k>0, straight line passes through quadrants 1, 3 and 4; K<0, through quadrant 234.