f \left( x + 4 \right) = f \left( x \right) + 16

8c:["$","span","p0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$f0"}}] f1:T810,

\displaystyle \int _{4} ^{7} {} f \left( x \right) dx

f2:T50c,

\displaystyle \frac{255}{4}

8d:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-2-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f1"}}],"의 값은? [4점]\n① ",["$","span","p0-2-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f2"}}],"\n② ","$Lf3","\n③ ","$Lf4","\n④ ","$Lf5","\n⑤ ","$Lf6",""]}] f7:Td67,

\displaystyle \sin \left( \angle \mathrm{BAC} \right) = \frac{2 \sqrt{7}}{7}

8f:["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f7"}}] f8:T72e,

\displaystyle \angle \mathrm{ACB} \mathit{=} \frac{\pi}{3}

90:["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f8"}}] 91:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{ABC}

"}}] 92:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{ABC}

"}}] 93:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{O}

"}}] 94:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{AO}

"}}] 95:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{BC}

"}}] 96:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{D}

"}}] 97:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{ADC}

"}}] 98:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{O} \\mathit{'}

"}}] f9:Tc73,

\displaystyle {\overline{\mathrm{AO} \mathit{'}}} = 5 \sqrt{3}

99:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f9"}}] fa:T7e3,

\displaystyle {\overline{\mathrm{OO} \mathit{'}}} ^{2}

9a:["$","span","p0-0-t0-m25",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fa"}}] fb:T7e5,

\displaystyle \left( \begin{array}{l} \begin{matrix} \\ \end{matrix} \end{array} \right.

9b:["$","span","p0-0-t0-m27",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fb"}}] fc:T890,

\displaystyle 0 < \angle \mathrm{BAC} \mathit{<} \frac{\pi}{2}

9c:["$","span","p0-0-t0-m29",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fc"}}] fd:T7e5,

\displaystyle \left. \begin{array}{l} \begin{matrix} \\ \end{matrix} \end{array} \right)

9d:["$","span","p0-0-t0-m31",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fd"}}] 9e:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/114/image3-rHfTtLyJk0EqB89qYLi7RotlXUKnag.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"72cqw"}}]]}] fe:T509,

\displaystyle \frac{91}{4}

ff:T509,

\displaystyle \frac{49}{2}

9f:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{21}

"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fe"}}],"\n③ ",["$","span","p0-2-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ff"}}],"\n④ ","$L100","\n⑤ ","$L101",""]}] a1:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f \\left( x \\right)

"}}] a2:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{1}

"}}] a3:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

g \\left( x \\right)

"}}] 102:T5e2,

f \left( k \right) = g \left( k \right)

a4:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$102"}}] a5:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}] a6:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 2

"}}] a7:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

0

"}}] a8:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}] a9:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

g \\left( 2 a \\right)

"}}] aa:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{14}

"}}] ab:["$","span","p0-0-t0-m27",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{18}

"}}] ac:["$","span","p0-0-t0-m29",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{22}

"}}] ad:["$","span","p0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{26}

"}}] ae:["$","span","p0-0-t0-m33",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{30}

"}}] 103:T4fe,

a _{7} = 1

b1:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$103"}}] b2:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a _{1}

"}}] b3:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{120}

"}}] b4:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{125}

"}}] b5:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{130}

"}}] b6:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{135}

"}}] b7:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{140}

"}}] b9:["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] 104:T12b3,

\displaystyle 2 \sum\limits _{k = 1} ^{15} a _{k} = 42 + \sum\limits _{k = 1} ^{14} a _{k}

be:["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$104"}}] bf:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a _{15}

"}}] 105:T464,

y = f \left( x \right)

c2:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$105"}}] 106:T464,

y = g \left( x \right)

c3:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$106"}}] c4:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{2}

"}}] c5:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a ^{2}

"}}] c6:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/114/image6-EOHxS5XKA1tYPFkT7zKjwO65GwTNLS.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"72cqw"}}]]}] c9:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

h \\left( x \\right)

"}}] 107:T1a69,

\displaystyle h \left( x \right) = {\begin{cases} f \left( x \right) & & \left( f \left( x \right) \geq g \left( x \right) \right) \\ g \left( x \right) & & \left( f \left( x \right) < g \left( x \right) \right) \end{cases}}

2024년-07월-고3-수학문제(공통)