2次不等式ver1 Quiz: 9 Practice Questions (Grade 10)

9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

$\left(x-1\right)\left(x-3\right)>0$ を解け。

$1<x<3$

$-3<x<-1$

$x<1,\ 3<x$

$x<-3,\ -1<x$

2.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

$x^2-7x+10<0$ を解け。

$x<2,\ 5<x$

$x<-5,\ -2<x$

$-5<x<-2$

$2<x<5$

3.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

$6x-x^2>0$ を解け。

$x<0,\ 6<x$

$0<x<6$

$-6<x<0$

$x<-6,\ 0<x$

4.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

$x^2-12x+36>0$ を解け。

すべての実数

$x=6$

$x=6$ 以外のすべての実数

解なし。

5.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

$x^2+14x+49<0$ を解け。

すべての実数

$x=-7$

$x=-7$ 以外のすべての実数

解なし。

6.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

$9x^2-6x+1\ge0$ を解け。

すべての実数

$x=\frac{1}{3}$

$x=\frac{1}{3}$ 以外のすべての実数

解なし。

7.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

解がすべての実数となる2次不等式は次のうちどれ？

$x^2-2x+3<0$

$2x^2-5x-3>0$

$x^2>0$

$x^2+x+2>0$

8.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

「共有点を持つ」条件はどれ？

$D>0$

$D\ge0$

$D<0$

$D=0$

9.

MULTIPLE SELECT QUESTION

1 min • 5 pts

放物線 $y=ax^2+bx+c$ と $x$ 軸が $x<0$ の範囲において異なる2点で交わるために必要な条件をすべて選べ。

$D>0$

軸＜０

$f\left(0\right)>0$

$a>0$

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2次不等式ver1

(x−1)(x−3)>0\left(x-1\right)\left(x-3\right)>0(x−1)(x−3)>0 を解け。

x2−7x+10<0x^2-7x+10<0x2−7x+10<0 を解け。

6x−x2>06x-x^2>06x−x2>0 を解け。

x2−12x+36>0x^2-12x+36>0x2−12x+36>0 を解け。

x2+14x+49<0x^2+14x+49<0x2+14x+49<0 を解け。

9x2−6x+1≥09x^2-6x+1\ge09x2−6x+1≥0 を解け。

解がすべての実数となる2次不等式は次のうちどれ？

「共有点を持つ」条件はどれ？

放物線 y=ax2+bx+cy=ax^2+bx+cy=ax2+bx+c と xxx 軸が x<0x<0x<0 の範囲において異なる2点で交わるために必要な条件をすべて選べ。

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Discover more resources for Mathematics

$\left(x-1\right)\left(x-3\right)>0$ を解け。

$x^2-7x+10<0$ を解け。

$6x-x^2>0$ を解け。

$x^2-12x+36>0$ を解け。

$x^2+14x+49<0$ を解け。

$9x^2-6x+1\ge0$ を解け。

放物線 $y=ax^2+bx+c$ と $x$ 軸が $x<0$ の範囲において異なる2点で交わるために必要な条件をすべて選べ。