| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer0" > |
| | | <span class="zt-ls"><b>解</b></span>(1)<math display="0"> |
| | | <mroot> |
| | | <msup> |
| | | <mn>5</mn> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>3</mn> |
| | | </mroot> |
| | | <mo>=</mo> |
| | | <mn>5</mn> |
| | | </math>; |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer1" > |
| | | <span class="zt-ls"><b>解</b></span> |
| | | (2) |
| | | <math display="0"> |
| | | <mroot> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | | <mo>−</mo> |
| | | <mn>5</mn> |
| | | <mo data-mjx-texclass="CLOSE">)</mo> |
| | | </mrow> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>3</mn> |
| | | </mroot> |
| | | <mo>=</mo> |
| | | <mo>−</mo> |
| | | <mn>5</mn> |
| | | </math>; |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (3) |
| | |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer2" > |
| | | <span class="zt-ls"><b>解</b></span> |
| | | (3) |
| | | <math display="0"> |
| | | <mroot> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | | <mn>7</mn> |
| | | <mo data-mjx-texclass="CLOSE">)</mo> |
| | | </mrow> |
| | | <mrow> |
| | | <mn>4</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>4</mn> |
| | | </mroot> |
| | | <mo>=</mo> |
| | | <mn>7</mn> |
| | | </math>; |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span>(5) 81的4次方根.</span> |
| | | <span class="btn-box" @click="isShowAnswer4 = !isShowAnswer4"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer0" > |
| | | <span class="zt-ls"><b>解</b></span>(1)<math display="0"> |
| | | <mroot> |
| | | <msup> |
| | | <mn>5</mn> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>3</mn> |
| | | </mroot> |
| | | <mo>=</mo> |
| | | <mn>5</mn> |
| | | </math>; |
| | | </p> |
| | | <p v-if="isShowAnswer1" > |
| | | (2) |
| | | <math display="0"> |
| | | <mroot> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | | <mo>−</mo> |
| | | <mn>5</mn> |
| | | <mo data-mjx-texclass="CLOSE">)</mo> |
| | | </mrow> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>3</mn> |
| | | </mroot> |
| | | <mo>=</mo> |
| | | <mo>−</mo> |
| | | <mn>5</mn> |
| | | </math>; |
| | | </p> |
| | | <p v-if="isShowAnswer2" > |
| | | (3) |
| | | <math display="0"> |
| | | <mroot> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | | <mn>7</mn> |
| | | <mo data-mjx-texclass="CLOSE">)</mo> |
| | | </mrow> |
| | | <mrow> |
| | | <mn>4</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>4</mn> |
| | | </mroot> |
| | | <mo>=</mo> |
| | | <mn>7</mn> |
| | | </math>; |
| | | </p> |
| | | <p v-if="isShowAnswer3" > |
| | | <span class="zt-ls"><b>解</b></span> |
| | | (4) |
| | | <math display="0"> |
| | | <mroot> |
| | |
| | | <mn>7</mn> |
| | | </math>; |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span>(5) 81的4次方根.</span> |
| | | <span class="btn-box" @click="isShowAnswer4 = !isShowAnswer4"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer4" > |
| | | <span class="zt-ls"><b>解</b></span> |
| | | (5) 因为(±3)<sup>4</sup>=81,所以81的4次方根是±3,即<math display="0"> |
| | | <mo>±</mo> |
| | | <mroot> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer5" > |
| | | <span class="zt-ls"><b>解</b></span>(1) |
| | | <math display="0"> |
| | | <mroot> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | | <mn>3</mn> |
| | | <mo>−</mo> |
| | | <mi>a</mi> |
| | | <mo data-mjx-texclass="CLOSE">)</mo> |
| | | </mrow> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>3</mn> |
| | | </mroot> |
| | | <mo>=</mo> |
| | | <mn>3</mn> |
| | | <mo>−</mo> |
| | | <mi>a</mi> |
| | | </math>; |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer5" > |
| | | <span class="zt-ls"><b>解</b></span>(1) |
| | | <math display="0"> |
| | | <mroot> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | | <mn>3</mn> |
| | | <mo>−</mo> |
| | | <mi>a</mi> |
| | | <mo data-mjx-texclass="CLOSE">)</mo> |
| | | </mrow> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>3</mn> |
| | | </mroot> |
| | | <mo>=</mo> |
| | | <mn>3</mn> |
| | | <mo>−</mo> |
| | | <mi>a</mi> |
| | | </math>; |
| | | </p> |
| | | <p v-if="isShowAnswer6" > |
| | | <span class="zt-ls"><b>解</b></span> |
| | | (2) |
| | | <math display="0"> |
| | | <mroot> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | | <math display="0"> |
| | | <mroot> |
| | | <msup> |
| | | <mi>x</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>6</mn> |
| | | </mroot> |
| | | </math>; |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer8 = !isShowAnswer8"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (3) |
| | | <math display="0"> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mroot> |
| | | <msup> |
| | | <mn>5</mn> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>4</mn> |
| | | </mroot> |
| | | </mfrac> |
| | | </math>. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer9 = !isShowAnswer9"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer7" > |
| | | <span class="zt-ls"><b>解</b></span>(1) |
| | | <math display="0"> |
| | |
| | | </msup> |
| | | </math>; |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | | <math display="0"> |
| | | <mroot> |
| | | <msup> |
| | | <mi>x</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>6</mn> |
| | | </mroot> |
| | | </math>; |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer8 = !isShowAnswer8"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer8" > |
| | | (2) |
| | | <span class="zt-ls"><b>解</b></span>(2) |
| | | <math display="0"> |
| | | <mroot> |
| | | <msup> |
| | |
| | | </msup> |
| | | </math>) |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (3) |
| | | <math display="0"> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mroot> |
| | | <msup> |
| | | <mn>5</mn> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>4</mn> |
| | | </mroot> |
| | | </mfrac> |
| | | </math>. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer9 = !isShowAnswer9"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer9" > |
| | | (3) |
| | | <span class="zt-ls"><b>解</b></span>(3) |
| | | <math display="0"> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer10" > |
| | | <span class="zt-ls"><b>解</b></span>(1)<math display="0"> |
| | | <msup> |
| | | <mn>27</mn> |
| | | <mrow> |
| | | <mo>−</mo> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mn>3</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | <mo>=</mo> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <msup> |
| | | <mn>27</mn> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mn>3</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | </mfrac> |
| | | <mo>=</mo> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mroot> |
| | | <mn>27</mn> |
| | | <mn>3</mn> |
| | | </mroot> |
| | | </mfrac> |
| | | <mo>=</mo> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mn>3</mn> |
| | | </mfrac> |
| | | </math>; |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer10" > |
| | | <span class="zt-ls"><b>解</b></span>(1)<math display="0"> |
| | | <msup> |
| | | <mn>27</mn> |
| | | <mrow> |
| | | <mo>−</mo> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mn>3</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | <mo>=</mo> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <msup> |
| | | <mn>27</mn> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mn>3</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | </mfrac> |
| | | <mo>=</mo> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mroot> |
| | | <mn>27</mn> |
| | | <mn>3</mn> |
| | | </mroot> |
| | | </mfrac> |
| | | <mo>=</mo> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mn>3</mn> |
| | | </mfrac> |
| | | </math>; |
| | | </p> |
| | | <p v-if="isShowAnswer11" > |
| | | (2)<math display="0"> |
| | | <span class="zt-ls"><b>解</b></span>(2)<math display="0"> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | | <math display="0"> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | | <msup> |
| | | <mi>a</mi> |
| | | <mrow> |
| | | <mo>−</mo> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <msup> |
| | | <mi>b</mi> |
| | | <mrow> |
| | | <mn>5</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mo data-mjx-texclass="CLOSE">)</mo> |
| | | </mrow> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mn>5</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | <mo>⋅</mo> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | | <msup> |
| | | <mi>a</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mo data-mjx-texclass="CLOSE">)</mo> |
| | | </mrow> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mn>5</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | <mo>÷</mo> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | | <msup> |
| | | <mi>a</mi> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <msup> |
| | | <mi>b</mi> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>5</mn> |
| | | <mn>3</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | <mo data-mjx-texclass="CLOSE">)</mo> |
| | | </mrow> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>3</mn> |
| | | <mn>5</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | </math>. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer13 = !isShowAnswer13"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer12" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span> |
| | |
| | | </math> |
| | | </p> |
| | | </div> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | | <math display="0"> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | | <msup> |
| | | <mi>a</mi> |
| | | <mrow> |
| | | <mo>−</mo> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <msup> |
| | | <mi>b</mi> |
| | | <mrow> |
| | | <mn>5</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mo data-mjx-texclass="CLOSE">)</mo> |
| | | </mrow> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mn>5</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | <mo>⋅</mo> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | | <msup> |
| | | <mi>a</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mo data-mjx-texclass="CLOSE">)</mo> |
| | | </mrow> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>1</mn> |
| | | <mn>5</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | <mo>÷</mo> |
| | | <msup> |
| | | <mrow data-mjx-texclass="INNER"> |
| | | <mo data-mjx-texclass="OPEN">(</mo> |
| | | <msup> |
| | | <mi>a</mi> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <msup> |
| | | <mi>b</mi> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>5</mn> |
| | | <mn>3</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | <mo data-mjx-texclass="CLOSE">)</mo> |
| | | </mrow> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>3</mn> |
| | | <mn>5</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | </math>. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer13 = !isShowAnswer13"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer13" class="left1"> |
| | | <math display=""> |
| | | <mtable columnalign="left" columnspacing="1em" rowspacing="4pt"> |
| | | |
| | | |
| | | <mtr> |
| | | <mtd> |
| | | <mtext>(2)</mtext> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | | <math display="0"> |
| | | <msqrt> |
| | | <msup> |
| | | <mi>a</mi> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <msup> |
| | | <mi>b</mi> |
| | | <mrow> |
| | | <mo>−</mo> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | </msqrt> |
| | | <mo>·</mo> |
| | | <mroot> |
| | | <mrow> |
| | | <msup> |
| | | <mi>a</mi> |
| | | <mrow> |
| | | <mo>−</mo> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | <msup> |
| | | <mi>b</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | </mrow> |
| | | <mn>3</mn> |
| | | </mroot> |
| | | <mo>·</mo> |
| | | <mroot> |
| | | <mrow> |
| | | <mi>a</mi> |
| | | <msup> |
| | | <mi>b</mi> |
| | | <mrow> |
| | | <mn>5</mn> |
| | | </mrow> |
| | | </msup> |
| | | </mrow> |
| | | <mn>6</mn> |
| | | </mroot> |
| | | </math>. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer15 = !isShowAnswer15"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer14" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span> |
| | |
| | | </mtable> |
| | | </math> |
| | | </div> |
| | | |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | | <math display="0"> |
| | | <msqrt> |
| | | <msup> |
| | | <mi>a</mi> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | <msup> |
| | | <mi>b</mi> |
| | | <mrow> |
| | | <mo>−</mo> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msup> |
| | | </msqrt> |
| | | <mo>·</mo> |
| | | <mroot> |
| | | <mrow> |
| | | <msup> |
| | | <mi>a</mi> |
| | | <mrow> |
| | | <mo>−</mo> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | <msup> |
| | | <mi>b</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | </mrow> |
| | | <mn>3</mn> |
| | | </mroot> |
| | | <mo>·</mo> |
| | | <mroot> |
| | | <mrow> |
| | | <mi>a</mi> |
| | | <msup> |
| | | <mi>b</mi> |
| | | <mrow> |
| | | <mn>5</mn> |
| | | </mrow> |
| | | </msup> |
| | | </mrow> |
| | | <mn>6</mn> |
| | | </mroot> |
| | | </math>. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer15 = !isShowAnswer15"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <math v-if="isShowAnswer15" display=""> |
| | | <mtable columnalign="left" columnspacing="1em" rowspacing="4pt"> |
| | | <mtr> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer17" > |
| | | <span class="zt-ls"><b>解</b></span>(1) |
| | | 因为<i>f</i>(<i>x</i>)=<i>a<sup>x</sup></i>(<i>a</i>>0,且<i>a</i>≠1),且<i>f</i>(3)=125,所以<i>a</i><sup>3</sup>=125,解得<i>a</i>=5,于是<i>f</i>(<i>x</i>)=5<i><sup>x</sup></i>. |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) 求<i>f</i>(0),<i>f</i>(2),<i>f</i>(-2),<math display="0"> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer17" > |
| | | <span class="zt-ls"><b>解</b></span>(1) |
| | | 因为<i>f</i>(<i>x</i>)=<i>a<sup>x</sup></i>(<i>a</i>>0,且<i>a</i>≠1),且<i>f</i>(3)=125,所以<i>a</i><sup>3</sup>=125,解得<i>a</i>=5,于是<i>f</i>(<i>x</i>)=5<i><sup>x</sup></i>. |
| | | </p> |
| | | <p v-if="isShowAnswer18"> |
| | | (2) |
| | | <span class="zt-ls"><b>解</b></span>(2) |
| | | <i>f</i>(0)=5<sup>0</sup>=1,<i>f</i>(2)=5<sup>2</sup>=25,<math display="0"> |
| | | <mi>f</mi> |
| | | <mo>−</mo> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer20" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span>(1) 因为4>1 , 所以<i>y</i>=4<i><sup>x</sup></i>在(-∞,+∞)内是增函数(如图4-5所示). |
| | | </p> |
| | | <p class="center"> |
| | | <img class="img-f" alt="" src="../../assets/images/0137-7.jpg" /> |
| | | </p> |
| | | <p class="img">图4-5</p> |
| | | </div> |
| | | <p class="p-btn" > |
| | | <span>(2) <i>y</i>=3<i><sup>-x</sup></i>;</span> |
| | | <span class="btn-box" @click="isShowAnswer21 = !isShowAnswer21"> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (3) |
| | | <math display="0"> |
| | | <mi>y</mi> |
| | | <mo>=</mo> |
| | | <msup> |
| | | <mn>2</mn> |
| | | <mrow> |
| | | <mfrac> |
| | | <mi>x</mi> |
| | | <mn>3</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | </math>. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer22 = !isShowAnswer22"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer20" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span>(1) 因为4>1 , 所以<i>y</i>=4<i><sup>x</sup></i>在(-∞,+∞)内是增函数(如图4-5所示). |
| | | </p> |
| | | <p class="center"> |
| | | <img class="img-f" alt="" src="../../assets/images/0137-7.jpg" /> |
| | | </p> |
| | | <p class="img">图4-5</p> |
| | | </div> |
| | | <div v-if="isShowAnswer21" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span> |
| | | (2) |
| | | <math display="0"> |
| | | <mi>y</mi> |
| | |
| | | </p> |
| | | <p class="img">图4-6</p> |
| | | </div> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (3) |
| | | <math display="0"> |
| | | <mi>y</mi> |
| | | <mo>=</mo> |
| | | <msup> |
| | | <mn>2</mn> |
| | | <mrow> |
| | | <mfrac> |
| | | <mi>x</mi> |
| | | <mn>3</mn> |
| | | </mfrac> |
| | | </mrow> |
| | | </msup> |
| | | </math>. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer22 = !isShowAnswer22"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer22" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span> |
| | | (3)<math display="0"> |
| | | <mi>y</mi> |
| | | <mo>=</mo> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer23" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span>(1) 因为<i>y</i>=1.8<i><sup>x</sup></i>是<b>R</b>上的增函数,且2.5<3,所以 |
| | | </p> |
| | | <p class="center">1.8<sup>2.5</sup><1.8<sup>3</sup>.</p> |
| | | </div> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer23" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span>(1) 因为<i>y</i>=1.8<i><sup>x</sup></i>是<b>R</b>上的增函数,且2.5<3,所以 |
| | | </p> |
| | | <p class="center">1.8<sup>2.5</sup><1.8<sup>3</sup>.</p> |
| | | </div> |
| | | <div v-if="isShowAnswer24" > |
| | | <p> |
| | | (2) 因为<i>y</i>=0.9<i><sup>x</sup></i>是<b>R</b>上的减函数,且-0.2>-0.3,所以 |
| | | <span class="zt-ls"><b>解</b></span>(2) 因为<i>y</i>=0.9<i><sup>x</sup></i>是<b>R</b>上的减函数,且-0.2>-0.3,所以 |
| | | </p> |
| | | <p class="center">0.9<sup>-0.2</sup><0.9<sup>-0.3</sup>.</p> |
| | | </div> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | | 若<i>f</i>(m)≥9,求<i>m</i>的取值范围. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer27 = !isShowAnswer27"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer26" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span>(1) 图像过点(3,27),即<i>x</i>=3时,<i>f</i>(3)=27. |
| | |
| | | </math>. |
| | | </p> |
| | | </div> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | | 若<i>f</i>(m)≥9,求<i>m</i>的取值范围. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer27 = !isShowAnswer27"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer27" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span> |
| | | (2) |
| | | 因为<i>f</i>(<i>m</i>)=3<i><sup>m</sup></i>,所以得到3<i><sup>m</sup></i>≥9,即3<i><sup>m</sup></i>≥3<sup>2</sup>. |
| | | </p> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2)<math display="0"> |
| | | <msub> |
| | | <mi>log</mi> |
| | | <mrow> |
| | | <mi>a</mi> |
| | | </mrow> |
| | | </msub> |
| | | <mo data-mjx-texclass="NONE"></mo> |
| | | <mfrac> |
| | | <msup> |
| | | <mi>x</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mrow> |
| | | <mi>y</mi> |
| | | <mi>z</mi> |
| | | </mrow> |
| | | </mfrac> |
| | | </math>; |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer34 = !isShowAnswer34"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (3) |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>log</mi> |
| | | <mrow> |
| | | <mi>a</mi> |
| | | </mrow> |
| | | </msub> |
| | | <mo data-mjx-texclass="NONE"></mo> |
| | | <mfrac> |
| | | <msqrt> |
| | | <mi>x</mi> |
| | | </msqrt> |
| | | <mrow> |
| | | <msup> |
| | | <mi>y</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mi>z</mi> |
| | | </mrow> |
| | | </mfrac> |
| | | </math>. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer35 = !isShowAnswer35"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer33" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span> |
| | |
| | | </math> |
| | | </p> |
| | | </div> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2)<math display="0"> |
| | | <msub> |
| | | <mi>log</mi> |
| | | <mrow> |
| | | <mi>a</mi> |
| | | </mrow> |
| | | </msub> |
| | | <mo data-mjx-texclass="NONE"></mo> |
| | | <mfrac> |
| | | <msup> |
| | | <mi>x</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mrow> |
| | | <mi>y</mi> |
| | | <mi>z</mi> |
| | | </mrow> |
| | | </mfrac> |
| | | </math>; |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer34 = !isShowAnswer34"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="left1" v-if="isShowAnswer34"> |
| | | <math display=""> |
| | | <mo stretchy="false">(2)</mo> |
| | |
| | | <mi>z</mi> |
| | | <mo>;</mo> |
| | | </math> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (3) |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>log</mi> |
| | | <mrow> |
| | | <mi>a</mi> |
| | | </mrow> |
| | | </msub> |
| | | <mo data-mjx-texclass="NONE"></mo> |
| | | <mfrac> |
| | | <msqrt> |
| | | <mi>x</mi> |
| | | </msqrt> |
| | | <mrow> |
| | | <msup> |
| | | <mi>y</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mi>z</mi> |
| | | </mrow> |
| | | </mfrac> |
| | | </math>. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer35 = !isShowAnswer35"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="left1" v-if="isShowAnswer35" > |
| | | <math display=""> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) log <sub>3</sub>(9<sup>3</sup>×3<sup>5</sup>); |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer37 = !isShowAnswer37"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (3) log |
| | | <sub>7</sub>56-log<sub>7</sub>8. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer38 = !isShowAnswer38"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer36" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span> |
| | |
| | | </math> |
| | | </p> |
| | | </div> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) log <sub>3</sub>(9<sup>3</sup>×3<sup>5</sup>); |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer37 = !isShowAnswer37"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer37" class="left1"> |
| | | <math display=""> |
| | | <mo stretchy="false">(2)</mo> |
| | |
| | | <mn>11</mn> |
| | | <mo>;</mo> |
| | | </math> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (3) log |
| | | <sub>7</sub>56-log<sub>7</sub>8. |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer38 = !isShowAnswer38"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer38" class="left1"> |
| | | <math display=""> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer43" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span>(1) 要使函数有意义,必须满足<i>x</i>-3>0,解得<i>x</i>>3. |
| | | </p> |
| | | <p> |
| | | 所以,<i>y</i>=log <sub>0.5</sub>(<i>x</i>-3)的定义域是(3,+∞). |
| | | </p> |
| | | </div> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer43" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span>(1) 要使函数有意义,必须满足<i>x</i>-3>0,解得<i>x</i>>3. |
| | | </p> |
| | | <p> |
| | | 所以,<i>y</i>=log <sub>0.5</sub>(<i>x</i>-3)的定义域是(3,+∞). |
| | | </p> |
| | | </div> |
| | | <div v-if="isShowAnswer44" > |
| | | <p> |
| | | (2) 要使函数有意义,必须满足4-<i>x</i><sup>2</sup>>0,解得 |
| | | <span class="zt-ls"><b>解</b></span>(2) 要使函数有意义,必须满足4-<i>x</i><sup>2</sup>>0,解得 |
| | | -2<<i>x</i><2. |
| | | </p> |
| | | <p> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer45" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span>(1) |
| | | 因为底数2>1,所以<i>y</i>=log<sub>2</sub><i>x</i>在区间(0,+∞)上是增函数,函数图像如图4-10所示. |
| | | </p> |
| | | <p>又因为5.3>4.7,所以log<sub>2</sub>5.3>log<sub>2</sub>4.7.</p> |
| | | <p class="center"> |
| | | <img class="img-f" alt="" src="../../assets/images/0151-1.jpg" /> |
| | | </p> |
| | | <p class="img">图4-10</p> |
| | | </div> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) log |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer46" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span>(2) 因为底数0<0.2<1,所以<i>y</i>=log <sub>0.2</sub><i>x</i>在区间(0,+∞)上是减函数,函数图像如图4-11所示. |
| | | </p> |
| | | <p>又因为7<9,所以log <sub>0.2</sub>7>log <sub>0.2</sub>9.</p> |
| | | <p class="center"> |
| | | <img class="img-f" alt="" src="../../assets/images/0151-2.jpg" /> |
| | | </p> |
| | | <p class="img">图4-11</p> |
| | | </div> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (3) log<sub>5</sub>4与1; |
| | |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p v-if="isShowAnswer47"> |
| | | <span class="zt-ls"><b>解</b></span> (3) log<sub>5</sub>4<log<sub>5</sub>5=1,即log<sub>5</sub>4<1. |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer45" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span>(1) |
| | | 因为底数2>1,所以<i>y</i>=log<sub>2</sub><i>x</i>在区间(0,+∞)上是增函数,函数图像如图4-10所示. |
| | | </p> |
| | | <p>又因为5.3>4.7,所以log<sub>2</sub>5.3>log<sub>2</sub>4.7.</p> |
| | | <p class="center"> |
| | | <img class="img-f" alt="" src="../../assets/images/0151-1.jpg" /> |
| | | </p> |
| | | <p class="img">图4-10</p> |
| | | </div> |
| | | <div v-if="isShowAnswer46" > |
| | | <p> |
| | | (2) 因为底数0<0.2<1,所以<i>y</i>=log <sub>0.2</sub><i>x</i>在区间(0,+∞)上是减函数,函数图像如图4-11所示. |
| | | </p> |
| | | <p>又因为7<9,所以log <sub>0.2</sub>7>log <sub>0.2</sub>9.</p> |
| | | <p class="center"> |
| | | <img class="img-f" alt="" src="../../assets/images/0151-2.jpg" /> |
| | | </p> |
| | | <p class="img">图4-11</p> |
| | | </div> |
| | | <p v-if="isShowAnswer47"> |
| | | (3) log<sub>5</sub>4<log<sub>5</sub>5=1,即log<sub>5</sub>4<1. |
| | | </p> |
| | | <p v-if="isShowAnswer48" > |
| | | (4) 因为 log<sub>3</sub>4>log<sub>3</sub>1=0,log |
| | | <span class="zt-ls"><b>解</b></span>(4) 因为 log<sub>3</sub>4>log<sub>3</sub>1=0,log |
| | | <sub>0.3</sub>4<log <sub>0.3</sub>1=0,所以 log<sub>3</sub>4>log |
| | | <sub>0.3</sub>4. |
| | | </p> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer49" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span>(1) 因为<i>y</i>=log |
| | | 4<i>x</i>在(0,+∞)上是增函数,所以<i>x</i><5. |
| | | </p> |
| | | <p>又因为<i>x</i>>0,所以0<<i>x</i><5.</p> |
| | | <p>所以不等式的解集为(0,5).</p> |
| | | </div> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer49" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span>(1) 因为<i>y</i>=log |
| | | 4<i>x</i>在(0,+∞)上是增函数,所以<i>x</i><5. |
| | | </p> |
| | | <p>又因为<i>x</i>>0,所以0<<i>x</i><5.</p> |
| | | <p>所以不等式的解集为(0,5).</p> |
| | | </div> |
| | | <div v-if="isShowAnswer50" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span> |
| | | (2) |
| | | <math display="0"> |
| | | <msub> |
| | |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) 当测绘人员在登顶过程中测得其所在位置的海拔高程为8 844.43 |
| | | m时,大气压强为多少? |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer54 = !isShowAnswer54"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer53" > |
| | | <p> |
| | | <span class="zt-ls"><b>解</b></span> 海平面的海拔高程为0 m.将 |
| | |
| | | 827.090 m. |
| | | </p> |
| | | </div> |
| | | <p class="p-btn" > |
| | | <span> |
| | | (2) 当测绘人员在登顶过程中测得其所在位置的海拔高程为8 844.43 |
| | | m时,大气压强为多少? |
| | | </span> |
| | | <span class="btn-box" @click="isShowAnswer54 = !isShowAnswer54"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="isShowAnswer54" > |
| | | <p>(2) 把<i>y</i>=8 844.43代入①式,</p> |
| | | <p class="center">8 844.43=-8 004.203 ln <i>x</i>+92 255.180,</p> |
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