Maxim Dolgolyov
a07e631e8e
- 020_algebra_9_hub.sql: hub (slug 'algebra-9', indigo, 19 параграфов) + 4 главы - algebra_9_hub.html: страница каталога с индиго-палитрой - algebra_9_ch1..ch4.html: skeleton-страницы 4 глав * Глава 1 (amber): §1-§5 Рациональные выражения * Глава 2 (emerald): §6-§9 Функции * Глава 3 (violet): §10-§13 Дробно-рациональные уравнения и неравенства * Глава 4 (cyan): §14-§19 Прогрессии - Все skeleton-файлы рабочие: переключение параграфов, theme toggle, search modal, sidebar, progress, XP. Stub-плейсхолдеры в buildPx(). - Наполнение параграфов запланировано на Phase 1+.
620 lines
44 KiB
HTML
620 lines
44 KiB
HTML
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<title>Алгебра 9 · Глава 4 · Прогрессии</title>
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<body>
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<header class="hdr">
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<div class="hdr-row">
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<div>
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<h1>Алгебра 9 · Глава 4</h1>
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<div class="hdr-sub">Последовательности · арифметическая · геометрическая</div>
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</div>
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<div class="hdr-side">
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<a href="/textbook/algebra-9" class="hdr-btn"><svg class="ic" viewBox="0 0 24 24"><polyline points="15 18 9 12 15 6"/></svg> К алгебре 9</a>
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<button id="search-btn" class="hdr-btn"><svg class="ic" viewBox="0 0 24 24"><circle cx="11" cy="11" r="7"/><path d="m21 21-4-4"/></svg> Поиск</button>
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</div>
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<section class="hero">
|
||
<h2>Прогрессии — арифметика и геометрия чисел</h2>
|
||
<p>Здесь мы изучаем <b>числовые последовательности</b>, <b>арифметическую прогрессию</b> $(a_n = a_1 + (n-1)d)$ и <b>геометрическую прогрессию</b> $(b_n = b_1 q^{n-1})$, формулы сумм $n$ первых членов и <b>сумму бесконечно убывающей</b> геометрической прогрессии $S = \dfrac{b_1}{1 - q}$.</p>
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</section>
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<section id="sec-p14" class="sec" data-watermark="aₙ"><div class="sec-header"><span class="sec-num">§ 14</span><h2 class="sec-h">Числовая последовательность</h2></div><div id="p14-body"></div></section>
|
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<section id="sec-p15" class="sec" data-watermark="+d"><div class="sec-header"><span class="sec-num">§ 15</span><h2 class="sec-h">Арифметическая прогрессия</h2></div><div id="p15-body"></div></section>
|
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<section id="sec-p16" class="sec" data-watermark="Σ"><div class="sec-header"><span class="sec-num">§ 16</span><h2 class="sec-h">Сумма арифм. прогрессии</h2></div><div id="p16-body"></div></section>
|
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<section id="sec-p17" class="sec" data-watermark="·q"><div class="sec-header"><span class="sec-num">§ 17</span><h2 class="sec-h">Геометрическая прогрессия</h2></div><div id="p17-body"></div></section>
|
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<section id="sec-p18" class="sec" data-watermark="Σ"><div class="sec-header"><span class="sec-num">§ 18</span><h2 class="sec-h">Сумма геом. прогрессии</h2></div><div id="p18-body"></div></section>
|
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<section id="sec-p19" class="sec" data-watermark="∞"><div class="sec-header"><span class="sec-num">§ 19</span><h2 class="sec-h">Бесконечно убывающая</h2></div><div id="p19-body"></div></section>
|
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<section id="sec-final4" class="sec" data-watermark="★"><div class="sec-header"><span class="sec-num" style="background:linear-gradient(135deg,#0891b2,#22d3ee)">Финал главы</span><h2 class="sec-h">Итоги. 6 боссов главы 4</h2></div><div id="final4-body"></div></section>
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<footer class="foot">Интерактивный учебник «Алгебра 9» · Глава 4 · Прогрессии · LearnSpace</footer>
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<div class="search-foot"><span><kbd>↑↓</kbd> навигация</span><span><kbd>Enter</kbd> открыть</span><span><kbd>Esc</kbd> закрыть</span></div>
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function secNav(prev, next){
|
||
const NAMES={p14:'\xA714',p15:'\xA715',p16:'\xA716',p17:'\xA717',p18:'\xA718',p19:'\xA719',final4:'Финал'};
|
||
let h='<div class="sec-nav">';
|
||
h+=prev?'<button class="btn" onclick="goTo(\''+prev+'\')"><svg class="ic" viewBox="0 0 24 24"><polyline points="15 18 9 12 15 6"/></svg> '+NAMES[prev]+'</button>':'<span></span>';
|
||
h+=next?'<button class="btn primary" onclick="goTo(\''+next+'\')">'+NAMES[next]+' <svg class="ic" viewBox="0 0 24 24"><polyline points="9 18 15 12 9 6"/></svg></button>':'<span></span>';
|
||
h+='</div>'; return h;
|
||
}
|
||
|
||
function readButton(paraId){
|
||
return '<div style="margin-top:18px;display:flex;justify-content:center">'
|
||
+'<button class="btn primary" id="'+paraId+'-read-btn">'
|
||
+'<svg class="ic" viewBox="0 0 24 24"><path d="M4 19.5A2.5 2.5 0 0 1 6.5 17H20"/><path d="M6.5 2H20v20H6.5A2.5 2.5 0 0 1 4 19.5v-15A2.5 2.5 0 0 1 6.5 2z"/></svg>'
|
||
+' Я прочитал — '+(paraId.startsWith('final')?'финал':'\xA7'+paraId.replace('p',''))+' (+10 XP)'
|
||
+'</button></div>';
|
||
}
|
||
function wireReadBtn(paraId){
|
||
const btn = document.getElementById(paraId+'-read-btn'); if(!btn) return;
|
||
btn.addEventListener('click', ()=>{
|
||
addXp(10, paraId+'-read'); bumpProgress(paraId, 100);
|
||
btn.textContent='Прочитано! +10 XP'; btn.disabled=true; btn.style.opacity=.6;
|
||
if(paraId==='final4') achievement('ch4_done');
|
||
});
|
||
}
|
||
|
||
/* ===== STUB BUILDERS — наполнение в Phase 1+ ===== */
|
||
|
||
function buildP14(){
|
||
const root = document.getElementById('p14-body');
|
||
root.innerHTML = `
|
||
<div class="card">
|
||
<div class="card-header">
|
||
<span class="card-icon theory">${ICONS.theory}</span>
|
||
<span class="card-title">В разработке</span>
|
||
<span class="card-num">§ 14</span>
|
||
</div>
|
||
<div class="card-body">
|
||
<p>Содержание параграфа <b>«Числовая последовательность»</b> будет добавлено в следующих обновлениях.</p>
|
||
<p style="color:var(--muted);font-size:.9rem">Раздел Phase 1.</p>
|
||
</div>
|
||
</div>` + secNav(null, 'p15') + readButton('p14');
|
||
renderMath(root);
|
||
wireReadBtn('p14');
|
||
}
|
||
|
||
function buildP15(){
|
||
const root = document.getElementById('p15-body');
|
||
root.innerHTML = `
|
||
<div class="card">
|
||
<div class="card-header">
|
||
<span class="card-icon theory">${ICONS.theory}</span>
|
||
<span class="card-title">В разработке</span>
|
||
<span class="card-num">§ 15</span>
|
||
</div>
|
||
<div class="card-body">
|
||
<p>Содержание параграфа <b>«Арифметическая прогрессия»</b> будет добавлено в следующих обновлениях.</p>
|
||
<p style="color:var(--muted);font-size:.9rem">Раздел Phase 1.</p>
|
||
</div>
|
||
</div>` + secNav('p14', 'p16') + readButton('p15');
|
||
renderMath(root);
|
||
wireReadBtn('p15');
|
||
}
|
||
|
||
function buildP16(){
|
||
const root = document.getElementById('p16-body');
|
||
root.innerHTML = `
|
||
<div class="card">
|
||
<div class="card-header">
|
||
<span class="card-icon theory">${ICONS.theory}</span>
|
||
<span class="card-title">В разработке</span>
|
||
<span class="card-num">§ 16</span>
|
||
</div>
|
||
<div class="card-body">
|
||
<p>Содержание параграфа <b>«Сумма арифм. прогрессии»</b> будет добавлено в следующих обновлениях.</p>
|
||
<p style="color:var(--muted);font-size:.9rem">Раздел Phase 1.</p>
|
||
</div>
|
||
</div>` + secNav('p15', 'p17') + readButton('p16');
|
||
renderMath(root);
|
||
wireReadBtn('p16');
|
||
}
|
||
|
||
function buildP17(){
|
||
const root = document.getElementById('p17-body');
|
||
root.innerHTML = `
|
||
<div class="card">
|
||
<div class="card-header">
|
||
<span class="card-icon theory">${ICONS.theory}</span>
|
||
<span class="card-title">В разработке</span>
|
||
<span class="card-num">§ 17</span>
|
||
</div>
|
||
<div class="card-body">
|
||
<p>Содержание параграфа <b>«Геометрическая прогрессия»</b> будет добавлено в следующих обновлениях.</p>
|
||
<p style="color:var(--muted);font-size:.9rem">Раздел Phase 1.</p>
|
||
</div>
|
||
</div>` + secNav('p16', 'p18') + readButton('p17');
|
||
renderMath(root);
|
||
wireReadBtn('p17');
|
||
}
|
||
|
||
function buildP18(){
|
||
const root = document.getElementById('p18-body');
|
||
root.innerHTML = `
|
||
<div class="card">
|
||
<div class="card-header">
|
||
<span class="card-icon theory">${ICONS.theory}</span>
|
||
<span class="card-title">В разработке</span>
|
||
<span class="card-num">§ 18</span>
|
||
</div>
|
||
<div class="card-body">
|
||
<p>Содержание параграфа <b>«Сумма геом. прогрессии»</b> будет добавлено в следующих обновлениях.</p>
|
||
<p style="color:var(--muted);font-size:.9rem">Раздел Phase 1.</p>
|
||
</div>
|
||
</div>` + secNav('p17', 'p19') + readButton('p18');
|
||
renderMath(root);
|
||
wireReadBtn('p18');
|
||
}
|
||
|
||
function buildP19(){
|
||
const root = document.getElementById('p19-body');
|
||
root.innerHTML = `
|
||
<div class="card">
|
||
<div class="card-header">
|
||
<span class="card-icon theory">${ICONS.theory}</span>
|
||
<span class="card-title">В разработке</span>
|
||
<span class="card-num">§ 19</span>
|
||
</div>
|
||
<div class="card-body">
|
||
<p>Содержание параграфа <b>«Бесконечно убывающая»</b> будет добавлено в следующих обновлениях.</p>
|
||
<p style="color:var(--muted);font-size:.9rem">Раздел Phase 1.</p>
|
||
</div>
|
||
</div>` + secNav('p18', 'final4') + readButton('p19');
|
||
renderMath(root);
|
||
wireReadBtn('p19');
|
||
}
|
||
|
||
function buildFinal4(){
|
||
const root = document.getElementById('final4-body');
|
||
root.innerHTML = `
|
||
<div class="card">
|
||
<div class="card-header">
|
||
<span class="card-icon theory">${ICONS.theory}</span>
|
||
<span class="card-title">В разработке</span>
|
||
<span class="card-num">★</span>
|
||
</div>
|
||
<div class="card-body">
|
||
<p>Содержание финала главы <b>Финал главы — в разработке</b> будет добавлено в следующих обновлениях.</p>
|
||
<p style="color:var(--muted);font-size:.9rem">Боссы и итоговые задания будут добавлены в Phase 1.</p>
|
||
</div>
|
||
</div>` + secNav('p19', null) + readButton('final4');
|
||
renderMath(root);
|
||
wireReadBtn('final4');
|
||
}
|
||
|
||
/* ===== Search ===== */
|
||
const SEARCH_INDEX = (function(){
|
||
const arr=[];
|
||
PARAS.forEach(p=>arr.push({kind:'Параграф',title:p.num+' '+p.name,desc:p.sub||'',sec:p.id}));
|
||
return arr;
|
||
})();
|
||
function initSearch(){
|
||
const modal=document.getElementById('search-modal'),inp=document.getElementById('search-input'),out=document.getElementById('search-results'),btn=document.getElementById('search-btn');
|
||
if(!modal||!inp||!out) return;
|
||
let cur=0,rows=[];
|
||
function score(q,it){ const t=(it.title+' '+it.desc).toLowerCase(); if(t.includes(q)) return 100+(it.title.toLowerCase().startsWith(q)?50:0); let s=0; q.split(/\s+/).forEach(w=>{if(w&&t.includes(w))s+=10;}); return s; }
|
||
function rank(q){ q=q.trim().toLowerCase(); if(!q) return SEARCH_INDEX.slice(0,12); return SEARCH_INDEX.map(it=>({it,s:score(q,it)})).filter(x=>x.s>0).sort((a,b)=>b.s-a.s).slice(0,20).map(x=>x.it); }
|
||
function render(){ cur=0; if(!rows.length){out.innerHTML='<div class="search-empty">Ничего не найдено</div>';return;} out.innerHTML=rows.map((r,i)=>'<button class="search-row'+(i===0?' active':'')+'" data-i="'+i+'"><div class="sr-kind">'+r.kind+'</div><div class="sr-title">'+r.title+'</div>'+(r.desc?'<div class="sr-desc">'+(r.desc.length>90?r.desc.slice(0,90)+'…':r.desc)+'</div>':'')+'</button>').join(''); out.querySelectorAll('.search-row').forEach(b=>b.addEventListener('click',()=>{cur=+b.dataset.i;pick();})); }
|
||
function pick(){ const r=rows[cur]; if(!r) return; close(); goTo(r.sec); }
|
||
function move(d){ const items=out.querySelectorAll('.search-row'); if(!items.length) return; items[cur]&&items[cur].classList.remove('active'); cur=(cur+d+items.length)%items.length; items[cur].classList.add('active'); items[cur].scrollIntoView({block:'nearest'}); }
|
||
function open(){ modal.classList.add('show'); inp.value=''; rows=rank(''); render(); setTimeout(()=>inp.focus(),50); }
|
||
function close(){ modal.classList.remove('show'); }
|
||
btn&&btn.addEventListener('click',open);
|
||
modal.addEventListener('click',e=>{if(e.target===modal)close();});
|
||
inp.addEventListener('input',()=>{rows=rank(inp.value);render();});
|
||
inp.addEventListener('keydown',e=>{ if(e.key==='ArrowDown'){e.preventDefault();move(1);}else if(e.key==='ArrowUp'){e.preventDefault();move(-1);}else if(e.key==='Enter'){e.preventDefault();pick();}else if(e.key==='Escape'){e.preventDefault();close();} });
|
||
document.addEventListener('keydown',e=>{ if((e.ctrlKey||e.metaKey)&&(e.key==='k'||e.key==='K')){ e.preventDefault(); if(modal.classList.contains('show')) close(); else open(); } });
|
||
}
|
||
|
||
function initSidebarToggle(){
|
||
const side=document.getElementById('col-side'),back=document.getElementById('col-side-backdrop'),btn=document.getElementById('sidebar-btn');
|
||
if(!side||!btn) return;
|
||
function open(){ side.classList.add('open'); back.classList.add('show'); }
|
||
function close(){ side.classList.remove('open'); back.classList.remove('show'); }
|
||
btn.addEventListener('click',()=>{ if(side.classList.contains('open')) close(); else open(); });
|
||
back.addEventListener('click',close);
|
||
document.addEventListener('keydown',e=>{ if(e.key==='Escape') close(); });
|
||
}
|
||
|
||
function init(){
|
||
loadProgress(); initTheme(); initSidebarToggle(); initSearch();
|
||
buildParaSelector(); refreshProgressUI(); loadServerReadState(); goTo('p14');
|
||
setTimeout(()=>achievement('start'), 600);
|
||
if(window.LS&&window.LS.xp){
|
||
window.LS.xp.load().then(function(s){ if(s&&s.xp>STATE.xp){ STATE.xp=s.xp; STATE.level=calcLevel(STATE.xp); saveProgress(); refreshProgressUI(); if(STATE.current) buildSidebar(STATE.current); } });
|
||
}
|
||
}
|
||
document.addEventListener('DOMContentLoaded', init);
|
||
</script>
|
||
|
||
</body>
|
||
</html>
|