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Phương trình $$\tan x=m$$ có nghiệm khi $$\left|m\right|\le1$$ .

Phương trình $$\tan x=m$$ có nghiệm với mọi giá trị của m.

Phương trình $$\cot x=m$$ có nghiệm với mọi giá trị của m.

Tất cả các nghiệm của phương trình 2cos(x - 20 0 ) +1 = 0 là

x = 140 0 + k360 0 và x = -100 0 + k360 0

x = -140 0 + k360 0 và x = 100 0 + k360 0

x = 140 0 + k2π và x = -100 0 + k2π

x = 80 0 + k360 0 và x = -40 0 + k360 0

Họ nghiệm của phương trình 2 sin ⁡ x + 2 = 0 2\sin x+\sqrt{2}=0 2 sin x + 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> = 0 là

x = − π 4 + k 2 π ; x = 5 π 4 + k 2 π , k ∈ Z x=-\frac{\pi}{4}+k2\pi\ ;\ x=\frac{5\pi}{4}+k2\pi,\ k\in Z x = − 4 π + k 2 π ; x = 4 5 π + k 2 π , k ∈ Z

x = ± π 4 + k 2 π , k ∈ Z x=\pm\frac{\pi}{4}+k2\pi,\ k\in Z x = ± 4 π + k 2 π , k ∈ Z

x = − π 4 + k 2 π ; x = 3 π 4 + k 2 π , k ∈ Z x=-\frac{\pi}{4\ }+k2\pi;\ x=\frac{3\pi}{4\ }+k2\pi,\ k\in Z x = − 4 π + k 2 π ; x = 4 3 π + k 2 π , k ∈ Z

x = π 4 + k 2 π ; x = 3 π 4 + k 2 π , k ∈ Z x=\frac{\pi}{4}+k2\pi\ ;\ x=\frac{3\pi}{4\ }+k2\pi,\ k\in Z x = 4 π + k 2 π ; x = 4 3 π + k 2 π , k ∈ Z

Nghiệm của phương trình 2 cos ⁡ x − 4 = 0 2\cos x-4=0 2 cos x − 4 = 0 là

x = ± arccos ⁡ ( 2 ) + k 2 π , k ∈ Z x=\pm\arccos\left(2\right)+k2\pi,\ k\in Z x = ± arccos ( 2 ) + k 2 π , k ∈ Z

Họ nghiệm của phương trình 4 cos ⁡ x + 2 = 0 4\cos x+2=0 4 cos x + 2 = 0 là

x = ± 2 π 3 + k 2 π , k ∈ Z x=\pm\frac{2\pi}{3}+k2\pi,\ k\in Z x = ± 3 2 π + k 2 π , k ∈ Z

x = ± π 3 + k 2 π , k ∈ Z x=\pm\frac{\pi}{3\ }+k2\pi,\ k\in Z x = ± 3 π + k 2 π , k ∈ Z

x = 2 π 3 + k 2 π ; x = π 3 + k 2 π , k ∈ Z x=\frac{2\pi}{3}+k2\pi\ ;\ x=\frac{\pi}{3\ }+k2\pi,\ k\in Z x = 3 2 π + k 2 π ; x = 3 π + k 2 π , k ∈ Z

x = − π 3 + k 2 π ; x = 4 π 3 + k 2 π , k ∈ Z x=-\frac{\pi}{3}+k2\pi\ ;\ x=\frac{4\pi}{3}+k2\pi,\ k\in Z x = − 3 π + k 2 π ; x = 3 4 π + k 2 π , k ∈ Z

Họ nghiệm của phương trình 3 tan ⁡ x + 3 = 0 3\tan x+\sqrt{3}=0 3 tan x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> = 0 là

x = − π 6 + k π , k ∈ Z x=-\frac{\pi}{6\ }+k\pi,\ k\in Z x = − 6 π + k π , k ∈ Z

x = − π 6 + k 2 π , k ∈ Z x=-\frac{\pi}{6}+k2\pi,\ k\in Z x = − 6 π + k 2 π , k ∈ Z

x = − π 3 + k 2 π , k ∈ Z x=-\frac{\pi}{3}+k2\pi,\ k\in Z x = − 3 π + k 2 π , k ∈ Z

x = − π 3 + k π , k ∈ Z x=-\frac{\pi}{3}+k\pi,\ k\in Z x = − 3 π + k π , k ∈ Z

Họ nghiệm của phương trình 3 cot ⁡ x + 1 = 0 \sqrt{3}\cot x+1=0 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> cot x + 1 = 0 là

x = − π 3 + k π , k ∈ Z x=-\frac{\pi}{3\ }+k\pi,\ k\in Z x = − 3 π + k π , k ∈ Z

x = − π 6 + k π , k ∈ Z x=-\frac{\pi}{6}+k\pi,\ k\in Z x = − 6 π + k π , k ∈ Z

x = π 3 + k π , k ∈ Z x=\frac{\pi}{3}+k\pi,\ k\in Z x = 3 π + k π , k ∈ Z

x = π 6 + k π , k ∈ Z x=\frac{\pi}{6}+k\pi,\ k\in Z x = 6 π + k π , k ∈ Z

Họ nghiệm của phương trình cos ⁡ x = sin ⁡ π 5 \cos x=\sin\frac{\pi}{5} cos x = sin 5 π là

x = ± 3 π 10 + k 2 π , k ∈ Z x=\pm\frac{3\pi}{10\ }+k2\pi,\ k\in Z x = ± 1 0 3 π + k 2 π , k ∈ Z

x = ± π 5 + k 2 π , k ∈ Z x=\pm\frac{\pi}{5}+k2\pi,\ k\in Z x = ± 5 π + k 2 π , k ∈ Z

x = π 5 + k 2 π ; x = 4 π 5 + k 2 π , k ∈ Z x=\frac{\pi}{5}+k2\pi\ ;\ x=\frac{4\pi}{5\ }+k2\pi,\ k\in Z x = 5 π + k 2 π ; x = 5 4 π + k 2 π , k ∈ Z

x = ± 6 π 5 + k 2 π , k ∈ Z x=\pm\frac{6\pi}{5}+k2\pi\ ,\ k\in Z x = ± 5 6 π + k 2 π , k ∈ Z

Trên đoạn [ − 2020 ; 2020 ] \left[-2020;2020\right] [ − 2 0 2 0 ; 2 0 2 0 ] phương trình cot ⁡ x + 3 = 0 \cot x+\sqrt{3}=0 cot x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> = 0 có bao nhiêu nghiệm

Một nghìn hai trăm tám mươi sáu

ON TAP CUOI CHUONG I HSLG

Authored by Trang Quỳnh

Mathematics

11th Grade

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ON TAP CUOI CHUONG I HSLG

Trong các phương trình sau, phương trình nào vô nghiệm?

Hai điểm M và N trên hình là nghiệm của phương trình nào?

Khẳng định nào sau đây là SAI?

Phương trình nào sau đây có nghiệm?

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